Question

Twelve people are given two identical speakers, which they are asked to listen to for differences, if any. Suppose that these people answer simply by guessing. Find the probability that three peo

Answer 1

0.0537

Explanation:

This follows a binomial distribution with : n

Number of trials 'N' = 12 ; Probability of success (difference between speakers) 'p' = 1/2 or 0.5 ; Probability of failure (no difference b/w speakers) = 1/2 or 0.5 ; No of success 'r' = 3

P (X = 3) =
`N C r. (p)^r.(q)^(n-r)\\`

= 12C3 (0.5)^3 (0.5)^9

0.0537