Question

For a draw from a binomial with n = 30 and p = .25, what is the theoretical expected value (round to one decimal place)?

Answer 1

Number of independent trials, n = 30
Expected successes, k = 1
Probability of success, p = 0.25

Probability of failure, q = 1-p = 0.75
The theoretical expected value is

`_(30)C_(1) p^(1) q^(30-1) = 30 (0.25)(0.75^(29))=0.0018`

The answer is 0.0018.

Answer: 0.0 (to 1 dec. place)