PYQ Vault

Find p, n or the variance from a relation between the binomial mean and variance

This type of question, asked 4 times: 10 May 2024 S2, 13 May 2024 S2, 12 May 2026 S1, 13 May 2026 S1. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    10 May 2024 S2

    146
    If the sum of mean and variance of a Binomial Distribution is 152\dfrac{15}{2} for 10 trials, then the variance is

    Tap an option to check your answer.

  2. Question 2

    13 May 2024 S2

    124
    If the sum of the mean and the variance of a Binomial distribution for 5 trials is 1.8, then the value of pp is

    Tap an option to check your answer.

  3. Question 3

    12 May 2026 S1

    98
    Given that X∼B(20,p)X \sim B(20, p) if E(X)=8E(X) = 8 then Var(X)Var(X) is

    Tap an option to check your answer.

  4. Question 4

    13 May 2026 S1

    98
    If the mean of a binomial distribution is twice its variance and n=18n = 18, then the probability of success is...

    Tap an option to check your answer.