PEC EPE Exam Probability and Statistical Methods MCQ Questions

PEC EPE Exam Probability and Statistical Methods MCQ Questions

Click here for PEC EPE Exam Probability and Statistical Methods Numerical Questions

Other PEC EPE Exam Past Paper Questions

The sample space refers to:

a) A set of experimental outcomes

b) The most probable outcome

c) The average outcome

d) The maximum outcome

Answer: a) A set of experimental outcomes

What is the probability of getting tails when flipping a fair coin?

a) 0.25

b) 0.5

c) 0.75

d) 1.0

Answer: b) 0.5

The average of a dataset is also known as:

a) Median

b) Mode

c) Mean

d) Variance

Answer: c) Mean

The range of a dataset is calculated as:

a) Maximum value – Minimum value

b) Mean + Median

c) Median – Mode

d) Variance / Standard Deviation

Answer: a) Maximum value – Minimum value

If two events are mutually exclusive, what is the probability of both occurring?

a) 0

b) 0.25

c) 0.5

d) 1.0

Answer: a) 0

In a normal distribution, what percentage of data lies within one standard deviation from the mean?

a) 25%

b) 50%

c) 68%

d) 95%

Answer: c) 68%

The Poisson distribution is used for:

a) Continuous data

b) Binary data

c) Counting events over time or space

d) Normally distributed data

Answer: c) Counting events over time or space

The coefficient of variation is a measure of:

a) Spread of data relative to the mean

b) Number of data points

c) Skewness of data

d) Range of data

Answer: a) Spread of data relative to the mean

Which measure of central tendency is sensitive to outliers?

a) Mean

b) Median

c) Mode

d) Standard Deviation

Answer: a) Mean

A construction project has a 15% chance of being delayed due to weather. What is the probability that none of the next 5 projects will be delayed?

a) 0.4437

b) 0.5788

c) 0.7594

d) 0.8681

Answer: a) 0.4437

The standard deviation is the square root of:

a) Mean

b) Variance

c) Median

d) Mode

Answer: b) Variance

Which distribution is used to model the number of successes in a fixed number of independent Bernoulli trials?

a) Normal distribution

b) Poisson distribution

c) Binomial distribution

d) Exponential distribution

Answer: c) Binomial distribution

If events A and B are independent, what is the probability of both A and B occurring?

a) P(A) + P(B)

b) P(A) – P(B)

c) P(A) * P(B)

d) P(A) / P(B)

Answer: c) P(A) * P(B)

The mean of a dataset is 25 and the standard deviation is 4. What is the coefficient of variation?

a) 0.16

b) 0.20

c) 0.64

d) 0.80

Answer: b) 0.20

In a continuous uniform distribution, the probability density function is:

a) U-shaped

b) A straight line

c) Exponential

d) Skewed

Answer: b) A straight line

A civil engineering company employs 80 engineers, 40% of whom are female. If 10 engineers are randomly selected, what is the probability that exactly 4 of them are female?

a) 0.1029

b) 0.2503

c) 0.3569

d) 0.4421

Answer: a) 0.1029

The heights (in cm) of a group of civil engineering students are normally distributed with a mean of 170 cm and a standard deviation of 6 cm. What is the probability that a randomly selected student is between 160 cm and 180 cm tall?

a) 0.1587

b) 0.3413

c) 0.4772

d) 0.6131

Answer: c) 0.4772

The mode of a dataset is:

a) The most frequent value

b) The middle value

c) The average value

d) The smallest value

Answer: a) The most frequent value

The exponential distribution is often used to model:

a) The time between rare events

b) The height of individuals

c) The number of successes in a fixed number of trials

d) Continuous data with no upper limit

Answer: a) The time between rare events

The sum of probabilities of all possible outcomes in a sample space is equal to:

a) 0

b) 0.5

c) 1

d) 2

Answer: c) 1