12.A survey of publishing jobs indicates that 92 percent are completed on time. Assume that three jobsare selected for study.a. What is the probability they are all completed on time?PLAI threes = R) PZS P(S)a.b. What is the probability that at least one was not completed on time?b.

Answered: a. What is the probability they are all…

a. What is the probability they are all completed of PLAI three s = RI) PESP(S) . What is the probability that at least one was not completed on time?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

12.
A survey of publishing jobs indicates that 92 percent are completed on time. Assume that three jobs
are selected for study.
a. What is the probability they are all completed on time?
PLAI threes = R) PZS P(S)
a.
b. What is the probability that at least one was not completed on time?
b.

Expert Solution

Step 1

Let , X be the number of jobs completed on time

Here , X→B(n=3 , p=0.92)

The probability mass function of X is ,

$P (X = x) = (\binom{n}{x}) p^{x} q^{n - x}$ ; x=0,1,2,.......,n and q=1-p

= 0 ; otherwise

Our aim is to find the following :

a) The probability they are all completed on time

b) The probability that at least one was not completed on time

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