ECE 069
ENGINEERING DATA ANALYSIS
P1 EXAM
INSTRUCTIONS:
• Choose the best answer then shade it on
the given answer sheet.
• Use ballpen when shading. No Erasures on
the Answer Sheet: Erasure = Wrong Answer.
a.
b.
c.
d.
the independent variable is
manipulated
hypotheses are tested and proved
a positive correlation exists
samples are large
1.
Poisson distribution describes what kind of
event?
a. Future events
b. Rare events
c. Current events
d. Total number of events
7.
A numerical description of the outcome of
an experiment is called a?
a. Descriptive statistic
b. Probability function
c. Variance
d. Random variable
2.
In an experiment, the group that has no
intervention is?
a. the experimental group
b. the participant group
c. the control group
d. the treatment group
8.
Binomial distribution is a
a. Continuous distribution
b. Discrete distribution
c. Irregular distribution
d. Not a probability distribution
9.
The probability of the random variable X
having a binomial distribution with p as the
probability of success and q as the
probability of failure is expressed as?
a. 𝑃(𝑋 = 𝑥) = 𝑛𝐶𝑥 𝑝𝑥 𝑞 𝑥
b. 𝑷(𝑿 = 𝒙) = 𝒏𝑪𝒙 𝒑𝒙 𝒒𝒏−𝒙
c. 𝑃(𝑋 = 𝑥) = 𝑥𝐶𝑛 𝑝𝑥 𝑞 𝑛−𝑥
d. 𝑃(𝑋 = 𝑥) = 𝑥𝐶𝑛 𝑝𝑥 𝑞 𝑥
3.
In a Poisson distribution, if n is the number
of trials and p is the probability of success,
then the mean value is given by?
a. x̄ = np
c. x̄ = np(1-p)
b. x̄ = (np)2 d. x̄ = p
4.
Which of the following is not a property of a
binomial experiment?
a. the experiment consists of a
sequence of n identical trials
b. each outcome can be referred to
as a success or a failure
c. the probabilities of the two
outcomes can change from one
trial to the next
d. the trials are independent
5.
6.
Poisson distribution is applied for what?
a. Discrete random variable
b. Continuous random variable
c. Binomial random variable
d. Bernoulli random variable
Characteristic of an experimental research
is that?
ENGINEERING DATA ANALYSIS with PASION
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10. For the standard normal distribution, the
area between z=-0.5 and z=0.5 is?
a. 0.38293
b. 0.30854
c. 0.69146
d. 0.5000
11. The time taken to assemble a car in a
certain plant is a random variable having a
normal distribution with a mean of 20 hours
and a standard deviation of 2 hours. What is
the probability that a car can be assembled
at this plant in a period of time less than 21
hours?
a. 0.1695
c. 0.9561
b. 0.6915
d. 0.9651
12. An engineer always travels with his car on
the way to his work but is also thinking
about commuting on the way to his work
due to fluctuating gas prices. Suppose that
set A
the distance (in miles) that people are
willing to commute has an exponential
random distribution with a decay
parameter of 1/20. What is the probability
that he is willing to commute if from their
hometown to his workplace is more than 25
miles?
a. 0.2865
c. 0.8265
b. 0.5682
d. 0.9856
13. If the probability density function of the
random variable X is given as
0.5𝑒 −0.5𝑥 ,
𝑥≥0
𝑓(𝑥) = {
0,
𝑥<0
then the mean of the population is?
a. 2
c. 𝑒 −0.5
b. 1/2
d. 0.5e
14. A machine part life which is stated in hours
has an exponential distribution with a
probability density function of 𝑓(𝑥) =
0.02𝑒 −0.02𝑥 . Find the probability that the
machine will fail before 100 hours.
a. 0.0864
c. 0.8640
b. 0.5951
d. 0.9551
15. If the random variable X has a distribution
N(3,1), what is the value of P(X < 3.6)?
a. 0.4522
b. 0.7258
c. 0.6068
d. 0.2742
16. A researcher has found that the number of
defective parts produced for a given
process follows a Poisson distribution with a
mean of 6 defective parts per hour. Give the
standard deviation for the number of
defective parts for this process.
a. 5.8
c. 6.3
b. 6.0
d. 6.5
17. You are taking an examination that contains
20 multiple choice questions with choices A,
B, C, and D. Only one of the choices is
correct to every multiple choice question.
You are having a hard time finding the
correct answer and thought about what will
be the probability of you passing the exam
ENGINEERING DATA ANALYSIS with PASION
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if you answered randomly. Find the
probability that you will answer exactly 60%
of the items correct to pass the exam if you
make random guesses on all the questions.
a. 16.09%
c. 61.86%
b. 16.86%
d. 86.62%
18. In a factory, there is an average of four
machine breakdowns per day. if the number
of breakdowns follow a Poisson
distribution, then what is the probability
that there will be 6 machine breakdowns in
two days?
a. 1.220%
c. 91.20%
b. 12.20%
d. 92.01%
19. A six-sided die is rolled twelve times. What
is the probability of getting a ‘four’ five
times?
a. 2.48%
c. 4.28%
b. 2.84%
d. 4.82%
20. A particular type of tennis racket comes in a
midsize version and an oversize version.
Sixty percent of all customers at a certain
store want the oversize version. The store
currently has seven rackets of each version.
Among ten randomly selected customers
who want this type of racket, what is the
probability that at least six want the
oversize version?
a. 36.7%
c. 82.1%
b. 63.3%
d. 83.3%
21. The number of people arriving for
treatment at an emergency room can be
modeled by a Poisson process with a rate
parameter of five per hour. What is the
probability that exactly four people arrive
during a particular hour?
a. 17.5%
c. 44.0%
b. 26.5%
d. 73.5%
22. The average number of homes sold by a
certain realty company is 5 homes per day.
What is the probability that some homes
will be sold tomorrow?
a. 82.3%
c. 99.1%
b. 99.3%
d. 89.9%
23. The masses of 800 people are normally
distributed having a mean value of 64.7 kg
set A
and a standard deviation of 5.4 kg.
Determine the number of people that are
likely to have masses less than 54.4 kg.
a. 22 people
c. 24 people
b. 23 people
d. 25 people
24. Suppose the force acting on a column that
helps to support a building is a normally
distributed random variable X with mean
value 80 kips and standard deviation 10
kips. What is 𝑃(𝑋 ≥ 70)?
a. 24.17%
c. 91.04%
b. 84.13%
d. 97.72%
25. Let X = the time between two successive
arrivals at a drive-thru window of a local
fastfood restaurant. If X has an exponential
distribution with 𝜆 = 1, compute 𝑃(2 ≤
𝑋 ≤ 5).
a. 12.9%
c. 98.2%
b. 74.9%
d. 4.98%
26. Let X denote the distance (m) that an
animal moves from its birth site to the first
territorial vacancy it encounters. Suppose
that for banner-tailed kangaroo rats, X has
an exponential distribution with parameter
𝜆 = 0.01386. What is the probability that
the distance is at between 100 and 200 m?
a. 98.2%
c. 74.9%
b. 93.7%
d. 18.76%
who are equally aged. According to recent
data, the probability of a person living in
these conditions for 30 years or more is 2/3.
Calculate the probability that after 30 years
at least three people are still living.
a. 0.179
c. 0.917
b. 0.791
d. 0.971
29. What is the standard deviation of a
binomial distribution with 50 trials and
p = 0.4?
a. 6.32
c. 3.46
b. 4.25
d. 12.10
30. San Miguel Corporation has a plan to put
something into their new product: tiny gold
flakes! They put those tiny gold flakes first
into a beverage container at 500 flakes per
one liter container. A one liter container is
randomly selected, shaken, and a 10 ml
sample is immediately drawn to be given to
a tester. What is the probability that the
container given to the tester has exactly 3
flakes of gold?
a. 0.1404
c. 0.9401
b. 0.4140
d. 0.9941
27. A company owns 400 laptops. Each laptop
has an 8% probability of being defective.
You randomly select 20 laptops for your
staff. What is the probability that exactly 5
are defective?
a. 0.145
c. 0.154
b. 0.451
d. 0.541
28. A certain life insurance company sells life
insurance policies to five healthy people
ENGINEERING DATA ANALYSIS with PASION
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