Twelve people are given two identical speakers, which they are asked to listen to for differences, if any. Suppose that these pe

Question

3 years ago

11

ople answer simply by guessing. Find the probability that three people claim to have heard a difference between the two speakers.

1 answer:

Karolina [17] · Answer 1 · 2022-06-20T23:52:07+03:00

Answer:

Probability, P(X=3)=0.05371

Step-by-step explanation:

The experiment consists of 12 Bernoulli trials,n=12

Where sucess is defined with difference between the speakers and failure is defined with no difference between the speakers

Since people are guessing,the Probability P of sucess= 1/2

Therefore P(X=3) = b(3; 12, 0.5) = (12/3) (0.5)^3× (0.5)^9

P( X=3) = 0.0537