# Statistics and Probability - STA301 Solved Quiz 1

```STA 301
Quiz
6 Solved Quiz
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Quiz Start Time: 01:10 PM Time Left 89
sec(s)
Question # 1 of 10 ( Start time: 01:10:28 PM ) Total Marks: 1
A discrete probability function f(x) is always:
Select correct option:
Zero
One
Negative
Non-negative
Quiz Start Time: 01:10 PM Time Left 88
sec(s)
Question # 2 of 10 ( Start time: 01:11:20 PM ) Total Marks: 1
If f(x) is a continuous probability function, then P(X = 2) is:
Select correct option:
1
0
1/2
2
Quiz Start Time: 01:10 PM Time Left 88
sec(s)
Question # 3 of 10 ( Start time: 01:12:34 PM ) Total Marks: 1
The range of the binomial distribution is:
Select correct option:
0, 1, 2, ………… 100
0, 1, 2, ………… n
0, 1, 2, ………… x
1,2, …………….n
Quiz Start Time: 01:10 PM Time Left 89
sec(s)
Question # 4 of 10 ( Start time: 01:13:05 PM ) Total Marks: 1
In which of the following situations binomial distributions is approximate to normal
distribution?
Select correct option:
n = 50, p = 0.01
n = 500, p = 0.001
n = 100, p = 0.05
n = 50, p = 0.02
Quiz Start Time: 01:10 PM Time Left 89
sec(s)
Question # 5 of 10 ( Start time: 01:14:26 PM ) Total Marks: 1
The location and shape of the normal curve is (are) determined by:
Select correct option:
Mean
Variance
Mean & variance
Mean & standard deviation
Quiz Start Time: 01:10 PM Time Left 89
sec(s)
Question # 6 of 10 ( Start time: 01:14:56 PM ) Total Marks: 1
A random experiment has five outcomes in its sample space {s1, s2, s3, s4, s5}. If
P(s1)=0.2,P(s2)=0.3, P(s3)=0.1 and P(s4)=0.2 then P(s5)=?
Select correct option:
1
0.2
0.8
0.5
Quiz Start Time: 01:10 PM Time Left 87
sec(s)
Question # 7 of 10 ( Start time: 01:15:54 PM ) Total Marks: 1
The joint density function f(x,y) will be a pdf if
Select correct option:
Both of integrals f(x,y) dx dy =1
Both of integrals f(x,y) dx dy >1
Both of integrals f(x,y) dx dy <1
Both of integrals f(x,y) dx dy =0
Quiz Start Time: 01:10 PM Time Left 88
sec(s)
Question # 8 of 10 ( Start time: 01:16:12 PM ) Total Marks: 1
Which of the following is correct property for joint probability distribution of X and Y:
Select correct option:
Sigma f(X,Y)=1
Sigma f(Y,X)=1
Both of above
None of above
Quiz Start Time: 01:10 PM Time Left 89
sec(s)
Question # 9 of 10 ( Start time: 01:16:39 PM ) Total Marks: 1
A random variable that can assume every possible value in an interval [a, b]:
Select correct option:
Discrete variable
Continuous variable
Qualitative variable
Categorical variable
Quiz Start Time: 01:10 PM Time Left 88
sec(s)
Question # 10 of 10 ( Start time: 01:17:02 PM ) Total Marks: 1
Normal approximation to the binomial distribution is used when:
Select correct option:
np>5
nq>5
Both of the above
None of the above
eshal mehak: The Maximum Likelihood Estimators (MLE) are ………… and
…………… but not necessarily ………
Select correct option:
Unbiased, consistent, efficient
Consistent, unbiased, efficient
Unbiased, efficient, consistent
Consistent, efficient, unbiased
eshal mehak: A probability density function ‘f(x)’ has the following property:
Select correct option:
f(x) <= 0
f(x) < 0
f(x) > 0
f(x) >= 0
eshal mehak: For a continuous random variable X, P(X = x) is:
Select correct option:
0
0.5
1
undefined
eshal mehak: An urn contains 4 red balls and 6 green balls. A sample of 4 balls is
selected from the urn without replacement. It is the example of:
Select correct option:
Binomial distribution
Hypergrometric distribution
Poisson distribution
Exponential distribution
eshal mehak: The probability distribution of the proportion of successes in all possible
samples is called the:
Select correct option:
Sampling distribution
Sampling probability distribution
Sampling distribution of sample proportions
Sampling distribution of Population proportions
eshal mehak: E(4X + 5) =________
Select correct option:
12 E (X)
4 E (X) + 5
16 E (X) + 5
16 E (X)
eshal mehak: For good approximation of Poisson distribution to the binomial
distribution, which of the following condition (s) is/are required:
Select correct option:
The population size is large relative to the sample size
The probability, p, is close to .5 and the population size is large
The probability, p, is small and the sample size is large
The probability, p, is close to .5 and the sample size is large
eshal mehak: If an estimator is more efficient then the other estimator, its shape of the
sampling distribution will be
Select correct option:
Flattered
Normal
Highly peaked
Skewed to right
MC060201183 : MUDDASSAR HUSSAIN
Quiz Start Time: 08:45 PM
Time Left
88
sec(s)
Question # 1 of 10 ( Start time: 08:45:59 PM )
Total Marks: 1
What does it mean when a data set has a standard deviation equal to zero:
Select correct option:
Mean = median = mode
All of the values in the data are same
The mean of the data is also zero
All values of the data appear with the same frequency
me: MC060201183 : MUDDASSAR HUSSAIN
Quiz Start Time: 08:45 PM
Time Left
88
sec(s)
Question # 2 of 10 ( Start time: 08:47:20 PM )
Total Marks: 1
Match the binomial probability P(x< 23) with the correct statement.
Select correct option:
P(there are at most 23 successes)
P (there are fewer than 23 successes)
P (there are more than 23 successes)
P (there are at least 23 successes)
me: MC060201183 : MUDDASSAR HUSSAIN
Quiz Start Time: 08:45 PM
Time Left
88
sec(s)
Question # 3 of 10 ( Start time: 08:48:23 PM )
Total Marks: 1
In statistics, the term ‘expected value’ implies the ___ value.
Select correct option:
Independent
Normal
Standard
Mean
me: MC060201183 : MUDDASSAR HUSSAIN
Quiz Start Time: 08:45 PM
Time Left
88
sec(s)
Question # 4 of 10 ( Start time: 08:49:11 PM )
Total Marks: 1
A quantity obtained by applying certain rule or formula is known as
Select correct option:
Estimate
Estimator
Parameter
Proportion
me: MC060201183 : MUDDASSAR HUSSAIN
Quiz Start Time: 08:45 PM
Time Left
86
sec(s)
Question # 5 of 10 ( Start time: 08:49:49 PM )
Total Marks: 1
Total no. of possible samples of size 2 (without replacement) from the population of size
6, will be:
Select correct option:
20
15
10
18
.
me: MC060201183 : MUDDASSAR HUSSAIN
Quiz Start Time: 08:45 PM
Time Left
88
sec(s)
Question # 6 of 10 ( Start time: 08:50:41 PM )
Total Marks: 1
When a coin is tossed 3 times, the probability of getting 3 or less tails is
Select correct option:
1/2
0
1
3/5
1
me: MC060201183 : MUDDASSAR HUSSAIN
Quiz Start Time: 08:45 PM
Time Left
88
sec(s)
Question # 7 of 10 ( Start time: 08:51:53 PM )
Total Marks: 1
Total no. of possible samples of size 3 (with replacement) from the population of size 6,
will be:
Select correct option:
256
196
216
325
me: MC060201183 : MUDDASSAR HUSSAIN
Quiz Start Time: 08:45 PM
Time Left
89
sec(s)
Question # 8 of 10 ( Start time: 08:52:29 PM )
If c is a constant, then E(c) = ___
Select correct option:
0
1
c
-c
MC060201183 : MUDDASSAR HUSSAIN
Total Marks: 1
Quiz Start Time: 08:45 PM
Time Left
88
sec(s)
Question # 9 of 10 ( Start time: 08:53:35 PM )
Total Marks: 1
Using the normal approximation to the binomial distribution with n= 3 and p= 0.0571 the
value of mean is:
Select correct option:
0.1713
0.2132
0.5133
0.1923
MC060201183 : MUDDASSAR HUSSAIN
Quiz Start Time: 08:45 PM
Time Left
88
sec(s)
Question # 10 of 10 ( Start time: 08:54:28 PM )
Total Marks: 1
Suppose 60% of a herd of cattle is infected with a particular disease. Let Y = the number
of non-diseased cattle in a sample of size 5. the distribution of Y is:
Select correct option:
Binomial with n = 5 and p = 0.6
Binomial with n = 5 and p = 0.4
Binomial with n = 5 and p = 0.5
Poisson with u = .6
Quiz Conference: 1
me: MT060201146 : KAMRAN ELAHI
Quiz Start Time: 08:57 PM
Time Left
81
sec(s)
Question # 1 of 10 ( Start time: 08:57:27 PM )
Total Marks: 1
A random experiment has five outcomes in its sample space {s1, s2, s3, s4, s5}. If
P(s1)=0.2,P(s2)=0.3, P(s3)=0.1 and P(s4)=0.2 then P(s5)=?
Select correct option:
1
0.2
0.8
0.5
me: MT060201146 : KAMRAN ELAHI
Quiz Start Time: 08:57 PM
Time Left
88
sec(s)
Question # 2 of 10 ( Start time: 08:58:31 PM )
Total Marks: 1
The probability of success changes from trial to trial, is the property of:
Select correct option:
Binomial experiment
Hypergeometric experiment
Both binomial & hypergeometric experiment
Poisson experiment
MT060201146 : KAMRAN ELAHI
Quiz Start Time: 08:57 PM
Time Left
88
sec(s)
Question # 3 of 10 ( Start time: 08:59:05 PM )
Total Marks: 1
If a statistic used as an estimator, has its expected value equal to the true value of the
population parameter being estimated then it is called ........
Select correct option:
Consistent
Unbiased
Efficient
Sufficient
me: MT060201146 : KAMRAN ELAHI
Quiz Start Time: 08:57 PM
Time Left
88
sec(s)
Question # 4 of 10 ( Start time: 09:00:22 PM )
Total Marks: 1
In moments method, how many equations are needed to find the 2 unknown parameters?
Select correct option:
2
3
n/2
me: MT060201146 : KAMRAN ELAHI
Quiz Start Time: 08:57 PM
Time Left
89
sec(s)
Question # 5 of 10 ( Start time: 09:01:26 PM )
Total Marks: 1
Which of the following is correct property for joint probability distribution of X and Y:
Select correct option:
Sigma f(X,Y)=1
Sigma f(Y,X)=1
Both of above
MT060201146 : KAMRAN ELAHI
Quiz Start Time: 08:57 PM
Time Left
89
sec(s)
Question # 6 of 10 ( Start time: 09:01:58 PM )
Total Marks: 1
Which of the following is desirable for a good point estimator?
Select correct option:
Consistency
Unbiasedness
Efficiency
All of these
MT060201146 : KAMRAN ELAHI
Quiz Start Time: 08:57 PM
Time Left
88
sec(s)
Question # 7 of 10 ( Start time: 09:02:26 PM )
The distribution function (df) is also known as
Select correct option:
Probability distribution
Probability mass function
Probability density function
Cumulative distribution function
Total Marks: 1
MT060201146 : KAMRAN ELAHI
Quiz Start Time: 08:57 PM
Time Left
88
sec(s)
Question # 8 of 10 ( Start time: 09:02:52 PM )
Total Marks: 1
If X and Y are two discrete r.v’s with joint probability function f(x,y), then the
conditional probability function Y given X, f(y|x) is given by
Select correct option:
f(yj | xi) = f(xi, yj) / g( xi)
f(yj | xi) = f(xi, yj) / h( yj)
f(yj | xi) = f(xi, yj) / Sum of g( xi)
f(yj | xi) = f(xi, yj) / sum of h( yj)
MT060201146 : KAMRAN ELAHI
Quiz Start Time: 08:57 PM
Time Left
88
sec(s)
Question # 9 of 10 ( Start time: 09:03:25 PM )
Total Marks: 1
If the sample mean is an unbiased estimator for the population mean then:
Select correct option:
The sample mean has a normal distribution
The average sample mean, over all possible samples, equals the population mean
The sample mean is always very close to the population mean
The sample mean will only vary a little from the population mean
MT060201146 : KAMRAN ELAHI
Quiz Start Time: 08:57 PM
Time Left
88
sec(s)
Question # 10 of 10 ( Start time: 09:04:18 PM )
Total Marks: 1
Which of the probability distributions has three parameters?
Select correct option:
Binomial distribution
Normal distribution
Hypergeometric distribution
Poisson distribution
Quiz Conference: Quiz Start Time: 09:08 PM
Time Left
89
sec(s)
Question # 1 of 10 ( Start time: 09:08:48 PM )
Total Marks: 1
A standard deviation obtained from sampling distribution of sample statistics is known as
Select correct option:
Sampling error
Standard error
Minimum error
Universal error
Quiz Start Time: 09:08 PM
Time Left
89
sec(s)
Question # 2 of 10 ( Start time: 09:09:25 PM )
A parameter is a ..... quantity.
Select correct option:
Constant
Variable
Sample
Random
Total Marks: 1
Quiz Start Time: 09:08 PM
Time Left
86
sec(s)
Question # 3 of 10 ( Start time: 09:10:08 PM )
Total Marks: 1
How can you define statistical inference?
Select correct option:
A decision, estimate, prediction or generalization about the population based on
information contained in a sample
A statement made about a sample based on the measurements in that sample
A set of data selected from a larger set of data
A decision, estimate, prediction or generalization about sample based on information
contained in a population
Quiz Start Time: 09:08 PM
Time Left
89
sec(s)
Question # 4 of 10 ( Start time: 09:11:26 PM )
Total Marks: 1
Which of the following is most important and most widely used method in point
estimation?
Select correct option:
The method of moments
The method of fractional moments
The method of leas square
The method of maximum likelihood
Quiz Start Time: 09:08 PM
Time Left
89
sec(s)
Question # 5 of 10 ( Start time: 09:12:45 PM )
Total Marks: 1
The location and shape of the normal curve is (are) determined by:
Select correct option:
Mean
Variance
Mean & variance
Mean & standard deviation
Quiz Start Time: 09:08 PM
Time Left
89
sec(s)
Question # 6 of 10 ( Start time: 09:13:28 PM )
A discrete probability function f(x) is always:
Select correct option:
Zero
One
Negative
Non-negative
Quiz Conference: Quiz Start Time: 09:08 PM
Time Left
89
sec(s)
Question # 7 of 10 ( Start time: 09:14:14 PM )
Binomial distribution is skewed to the right if:
Select correct option:
p=q
Total Marks: 1
Total Marks: 1
P<q
p>q
p=n
Quiz Start Time: 09:08 PM
Time Left
89
sec(s)
Question # 8 of 10 ( Start time: 09:15:14 PM )
Total Marks: 1
In a discrete distribution function, F(23) can be stated as:
Select correct option:
P (there are at most 23 successes)
P (there are at least 23 successes)
P (there are less than 23 successes)
P (there are more than 23 successes)
Quiz Conference: Quiz Start Time: 09:08 PM
Time Left
88
sec(s)
Question # 9 of 10 ( Start time: 09:16:12 PM )
Total Marks: 1
The Probabilities of the various values of the sample satistic can be computed using
the......... definition of probability.
Select correct option:
Subjective
Objective
Classical
None of the baove
Quiz Conference: Quiz Start Time: 09:08 PM
Time Left
89
sec(s)
Question # 10 of 10 ( Start time: 09:17:12 PM )
E(10X +3) =_______
Select correct option:
10 E(X)
E(X)+3
10 E(X)+3
100E(X)
Total Marks: 1
Quiz Conference: Quiz Start Time: 09:20 PM
Time Left
88
sec(s)
Question # 1 of 10 ( Start time: 09:20:04 PM )
Total Marks: 1
If p is very small and n is considerably large then we shall apply the:
Select correct option:
Binomial distribution
Hypergeometric distribution
Poisson distribution
Exponential distribution
Quiz Start Time: 09:20 PM
Time Left
89
sec(s)
Question # 2 of 10 ( Start time: 09:21:19 PM )
Total Marks: 1
Which of the following is NOT applicable to a Poisson distribution?
Select correct option:
IF P = 0.5 & n = 19
IF P = 0.01 & n = 200
IF P = 0.02 & n = 300
IF P = 0.03 & n = 500
Quiz Start Time: 09:20 PM
Time Left
89
sec(s)
Question # 3 of 10 ( Start time: 09:22:26 PM )
Total Marks: 1
The normal distribution has points of infection which are equidistance from the:
Select correct option:
Median
Mean
Mode
Mean,Median & Mode
Quiz Conference: Quiz Start Time: 09:20 PM
Time Left
89
sec(s)
Question # 4 of 10 ( Start time: 09:23:38 PM )
The distribution function (df) is also known as
Select correct option:
Probability distribution
Probability mass function
Probability density function
Cumulative distribution function
Total Marks: 1
Quiz Conference: Quiz Start Time: 09:20 PM
Time Left
88
sec(s)
Question # 5 of 10 ( Start time: 09:24:38 PM )
Total Marks: 1
Suppose 60% of a herd of cattle is infected with a particular disease. Let Y = the number
of non-diseased cattle in a sample of size 5. the distribution of Y is:
Select correct option:
Binomial with n = 5 and p = 0.6
Binomial with n = 5 and p = 0.4
Binomial with n = 5 and p = 0.5
Poisson with u = .6
Quiz Conference: Quiz Start Time: 09:20 PM
Time Left
89
sec(s)
Question # 6 of 10 ( Start time: 09:25:57 PM )
Total Marks: 1
If a random variable X denotes the number of heads when we toss a fair coin 5 times, the
X assumed the values:
Select correct option:
0,1,2,3
1, 2,3,4,5
0, 1, 2,3,4,5
1, 5, 5
Quiz Conference: Quiz Start Time: 09:20 PM
Time Left
88
sec(s)
Question # 7 of 10 ( Start time: 09:27:20 PM )
Total Marks: 1
If c is a constant, then E(c) = ___
Select correct option:
0
1
c
-c
Quiz Start Time: 09:20 PM
Time Left
88
sec(s)
Question # 8 of 10 ( Start time: 09:27:57 PM )
Total Marks: 1
As a rule of thumb, when n>=30, then we can assume that………is normally distributed:
Select correct option:
Probability distribution
Sampling distribution
Binomial distribution
Sampling distribution of sample mean
Quiz Conference: Quiz Start Time: 09:20 PM
Time Left
89
sec(s)
Question # 9 of 10 ( Start time: 09:28:58 PM )
Total Marks: 1
If b(x, 7, 0.30), the variance of this distribution is:
Select correct option:
1.77
1.74
1.44
1.47
Quiz Start Time: 09:20 PM
Time Left
89
sec(s)
Question # 10 of 10 ( Start time: 09:30:19 PM )
Total Marks: 1
Which of the following is a characteristic of a binomial probability experiment?
Select correct option:
Each trial has more than two possible outcomes
P(success) = P(failure)
Probability of success changes for each trail
The result of one trial does not affect the probability of success on any other trial
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