Question

A student takes an exam containing 16 true or false questions. If the student guesses, what is the probability that he will get exactly 14 questions right

Answer 1

0.001831055

Explanation:

Here, n = 16, p = 0.5, (1 - p) = 0.5 and x = 14

As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)

We need to calculate P(X = 14)

P(x =14) = 16C14 * 0.5^14 *(1-0.5)^2

= 120 * 0.5^14 *(1-0.5)^2

= 0.001831055