An inspection engineer extracts a sample of 15 items at random from a manufacturing process known to produce 85% acceptable items. What is the probability that 10 of the extracted items are acceptable? Justify your answer. a) 4,6% b) 4,0% c) 5,4% d) 5% e) 4,5%

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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An inspection engineer extracts a sample of 15 items at random from a manufacturing process known to produce 85% acceptable items. What is the probability that 10 of the extracted items are acceptable? Justify your answer.

a) 4,6%

b) 4,0%

c) 5,4%

d) 5%

e) 4,5%

Expert Solution
Step 1

We have given that 

X~Binomial ( n , p )

n= 15 , p= 0.85 

, q= 1- p = 0.15

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