n event E has a probability p = p(E) = 0.4 in some sample space. Suppose the experiment that yields this sample space is repeated eight times and the outcomes are independent. Find the probability of getting the following outcome. (Round your answer to six decimal places.) E exactly five times

n event E has a probability p = p(E) = 0.4 in some sample space. Suppose the experiment that yields this sample space is repeated eight times and the outcomes are independent. Find the probability of getting the following outcome. (Round your answer to six decimal places.) E exactly five times

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

An event E has a probability p = p(E) = 0.4 in some sample space. Suppose the experiment that yields this sample space is repeated eight times and the outcomes are independent. Find the probability of getting the following outcome. (Round your answer to six decimal places.)

E exactly five times

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Expert Solution

Step 1

$g i v e n d a t a, p = p (E) = 0.4 q = 1 - p = 1 - 0.4 = 0.6 x = n o . o f r e p e a t e d t i m e s n = r e a p e t e d 8 t i m e s o u t c o m e s a r e i n d e p e n d e n t p (e x a c t l y f i v e t i m e s) = ?$

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