Solved Probability and Probability Distributions

Probability and Probability Distributions MCQs for Competitive Exams

Practice with answers, explanations, and exam-focused revision notes.

139 MCQs Page 4

Topic Notes: Probability and Probability Distributions

These notes summarize the key preparation context before you attempt the MCQs. Review the topic focus, then practice the questions below with answers and explanations.

Quick Overview

Probability and Probability Distributions MCQs in Commerce are useful for candidates who need targeted practice for CSS, PMS, FPSC, PPSC, NTS, entry tests, and other competitive exams in Pakistan. This topic page is designed for quick revision, repeated practice, and exam-focused preparation.

Attempt the questions page by page, check the correct answers, read the explanations where available, and compare your weak areas with past papers and mock test performance. Consistent MCQ practice improves speed, confidence, and retention for objective exam sections.

Want adaptive tracking for this topic?

Session Progress 0 / 0 Solved

Reveal answers to start tracking your session progress!

Under what conditions is the Binomial Distribution considered most appropriate for statistical analysis?

Small values of 'n'

Any value of 'n'

Large values of 'n'

Fractional values of 'n'

Report

If 'X' is a random variable, taking values 'X', probability of success and failure being 'p' and 'g' respectively and 'n' trials being conducted, then what is the probability that 'X' takes values 'x'? Use Binomial Distribution.

$$P\left( {X = x} \right) = {}^x{C_n}{q^x}{p^{\left( {n - x} \right)}}$$

$$P\left( {x = x} \right) = {}^x{C_n}{p^n}{q^x}$$

$$P\left( {X = x} \right) = {}^n{C_x}{p^x}{q^{\left( {n - x} \right)}}$$

$$P\left( {X = x} \right) = {}^n{C_x}{p^x}{q^x}$$

Report

In a Poisson Distribution, if mean (m) = e, then P(x) is given by

$$\frac{{{e^{\left( {m - x} \right)}}}}{{x!}}$$

$$\frac{{x!}}{{{e^{\left( {m - x} \right)}}}}$$

$$\frac{{{e^{\left( {x - m} \right)}}}}{{x!}}$$

$$\frac{{x!}}{{{e^{\left( {x - m} \right)}}}}$$

Report

In a badminton practice session, if the probability of player A serving properly is 0.8 and player B serving properly is 0.9, what is the average probability of a proper serve?

0.75

0.95

0.85

0.55

Report

In a binomial distribution where n = 7 and P = 0.6, what is the probability P(x = 7)?

(0.4)7

(0.6)6

(0.6)7

(0.7)6

Report

Which of the following statements regarding the normal distribution is false?

The area under the normal curve represents probabilities for the normal random variable and the total area for the normal probability distribution is one

For every pair of values of mean and standard deviation, the curve of the distribution is bell-shaped and symmetric

Within ±1.96σ limits from mean value, the area under the distribution is 99% of the total area

Mean, median and mode always coincide

Report

If two events A and B are dependent, how is the conditional probability of A given B, denoted as P(A/B), calculated?

P(AB)/P(B)

P(AB)/P(A)

P(A)/P(B)

P(A)/P(AB)

Report

In a Poisson distribution, how are the mean and variance related?

(m2), (Σr2p(r) - m2)

(m), (Σr2P(r) - m2)

(m2), (P(r) - m2)

(m), (P(r) - m2)

Report

How is a prior probability defined in statistical analysis?

None of these

initial

final

eventual

Report

The coefficient of Kurtosis under binomial distribution $$'{\beta _2}'$$ is equal to

$$6 + \frac{{1 - 6p}}{{pq}}$$

$$3 + \frac{{1 - 6pq}}{{npq}}$$

None of these

$$6 + \frac{{1 - 3pq}}{{npq}}$$

Report

Probability and Probability Distributions MCQs for Competitive Exams

Probability and Probability Distributions MCQs for Competitive Exams

Topic Notes: Probability and Probability Distributions

Quick Overview

Browse categories

Mock Test

Latest Menu

Popular Categories