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MathematicsTopic Question Bank50+ Solved MCQsUpdated October 2026👁️ 3.8k Topic Views

Probability Distributions Questions & Answers

Master problem-solving techniques, shortcut tricks, and formulas for Probability Distributions. Solve graded practice questions with complete step-by-step mathematical solutions.

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Probability Distributions — Key Concepts & Shortcuts

•Master core formulas and fundamental algebraic/arithmetic principles for Probability Distributions.
•Apply approximation techniques and calculation shortcuts to solve problems within 45 seconds.
•Practice 2-tier questions and review step-by-step derivations for complex problems.

Practice Questions for Probability Distributions

18+ Solved MCQs

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Let a continuous random variable X have the probability density function (pdf) given by f(x) = 3x2θ3 for 0 ≤ x ≤ θ (where θ > 0), and f(x) = 0 otherwise. The mode of X is:

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Probability Distributions Questions & Answers

Probability Distributions — Key Concepts & Shortcuts

Practice Questions for Probability Distributions

Let a continuous random variable X have the probability density function (pdf) given by f(x) = 3x2θ3 for 0 ≤ x ≤ θ (where θ > 0), and f(x) = 0 otherwise. The mode of X is:

Which of the following parametric distributions has the exact same mean and variance?

A random variable T has a symmetric distribution if T and -T have the same distribution. Let X and Y be independent random variables. Which of the following statements is correct?

Which of the following represents the second central moment of a probability distribution?

Which of the following statements is true regarding uniform, normal, and exponential distributions?

The quartile deviation (QD) of a Normal Distribution with standard deviation σ is approximately equal to:

Suppose that X has a uniform distribution on the interval [0, 100]. Let Y denote the greatest integer smaller than or equal to X. Which of the following is true?

For the cumulative distribution function: F(x) = 0, if x < -1 (x + 1)22, if -1 ≤ x < 01 - (1 - x)22, if 0 ≤ x < 11, if x ≥ 1 The upper quartile point (Q3) is:

If the mean of a Binomial distribution is 3 and its variance is 32, then the number of trials is:

The standard deviation of a Binomial distribution is equal to which of the following? (where n, p, and q have their usual meanings)

Which of the following statements is always true for a Poisson distribution?

If Z follows a standard normal distribution with mean 0 and variance 1, then Z2 follows which distribution?

X1 and X2 represent the number of occurrences of events A and B, which follow a Poisson distribution with mean rates λ1 and λ2 respectively. If Y1 and Y2 are the inter-occurrence times of events A and B, then min(Y1, Y2) follows an:

For a Poisson variate X, if P(X = 1) = P(X = 2), then the variance of X is:

For a Poisson distribution variable X, if P(X = 0) = 2P(X = 1), what is its standard deviation?

Frequently Asked Questions on Probability Distributions