Question

A random variable follows a binomial distribution with a probability of success equal to 0.69 For a sample size of N=11​, find the values below.

a. the probability of exactly 3 successes

b. the probability of 7 or more successes

c. the probability of exactly 10 successes

d. the expected value of the random variable

Answer 1

p = 0.69, n = 11, q = (1-p) = (1-0.69) = 0.31

the pmf be:-

a).the probability of exactly 3 successes be:-

b. the probability of 7 or more successes be:-

c. the probability of exactly 10 successes be:-

d. the expected value of the random variable be:-

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