Probability Distributions

CBSE Class 12 Applied Mathematics · 19 board questions from this chapter; 9 listed below, 2023–2026

• Let X be a discrete random variable, then the variance of X is::2026
• If ‘m’ is the mean of a Poisson distribution, then its variance is given by:2026
• The total area under a standard normal curve is:2026
• A pair of dice is thrown two times. If X represents the number of doublets obtained, then the expectation of X is2025
• If a random variable X has the probability distribution P(X=x)= {k, if x=0; 2 k, if x=1 or 2; 0, otherwise,} then the value of k…2025
• A fair coin is tossed twice and outcomes are noted. If the random variable X represents the number of heads that appeared in the…2024
• If for a Poisson variate X, P(X=k)=P(X=k+1), then the variance of X is:2024
• Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled Assertion and the…2024
• If X is a Poisson variable such that P(X=1)=2 P(X=2), then P(X=0) is:2023

Answers come from CBSE’s own marking schemes. How we source them.