advertisement

STA 301 Quiz 50 % correct answer 6 Solved Quiz http://www.VUSR.net http://www.vusr.net/course/sta301-statisticsand-probability/home 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 [email protected]