A company has 5 customer service representatives answering the phones.  The probability that any one of the representatives will have a call at any given time is .4 Determine the probability of each, giving an exact decimal answer (do not round your answers): a.  exactly 3 representatives have calls:  b.  all representatives have calls:  c.  more than 3 representatives have calls:  d. at least 1 representative has a call:

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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  1. A company has 5 customer service representatives answering the phones.  The probability that any one of the representatives will have a call at any given time is .4

    Determine the probability of each, giving an exact decimal answer (do not round your answers):

    a.  exactly 3 representatives have calls: 

    b.  all representatives have calls: 

    c.  more than 3 representatives have calls: 

    d. at least 1 representative has a call: 

Expert Solution
Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

n= number of trials = 5

p= probability of any one of the representatives will have a call at any given time= 0.4

Let, X= number of representatives have calls

So, X follows binomial distribution with n=5 and p=0.4

a)

Probability homework question answer, step 1, image 1

 

 

Step 2

b) All representatives have calls means X=5

Probability homework question answer, step 2, image 1

 

 

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