   Chapter 14.3, Problem 33E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Sick Leave The probability that a given worker at Dyno Nutrition will call in sick on a Monday is 0.04 . The packaging department has eight workers. What is the probability that two or more packaging workers will call in sick next Monday?

To determine

To find:

The probability that two or more packing workers will call in sick next Monday.

Explanation

Given:

The number of workers are 8.

The probability of a worker who will call in sick on a Monday is 0.04.

Approach:

Write the expression for the probability of success in a trial.

P(S)=p

Here, P(S) is the probability of success.

Write the expression to find the probability of failure in a trial.

P(F)=1pq=1p ……(1)

Here, q=P(F) is probability of failure.

Write the expression to find the probability of getting exactly r success in given number of independent trials of the experiment.

P(rsuccessesinntrials)=C(n,r)prqnr …... (2)

Here, n is the number of trial and r is the number of success in the given experiment.

Write the formula to find the number of combinations.

C(n,r)=n!r!(nr)!

Substitute n!r!(nr)! for C(n,r) in equation (2). Then,

P(rsuccessesinntrials)=(n!r!(nr)!)prqnr ……(3).

Calculation:

Consider the probability of success in a trial for given experiment.

p=0.04

Substitute 0.04 for p in equation (1) to find q.

q=1(0.04)=0.96

Substitute 8 for n, 0.04 for p and 0

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