I posted this question before, but the instructor gave differentvalues for the a

Question

I posted this question before, but the instructor gave differentvalues for the answer. Would someone show me how to solve this andget the answers given by the instructor? Thanks!

20% of the memory chips made in a PCB manufacturing facility aredefective. What is the probability that out of 100 chips chosen forthe inspection by the Quality Control Manager, that:

a) at most 15 memory chips will be defective. (0.13)

b) exactly 15 will be defective (0.0457)

Use normal approximation to binomial distribution to answer thequestion. Use Standard Normal tables.

Explanation / Answer

20% of the memorychips made in a PCB manufacturing facility are defective. What isthe probability that out of 100 chips chosen for the inspection bythe Quality Control Manager, that: (Use normal approximation to binomial distribution toanswer the question. Use Standard Normaltables.) (a)at most 15 memory chips will be defective.(0.13)      N = 100      p = 0.20      = N*p = (100)*(0.20) = 20      = Sqrt[ N*p*(1- p) ] = Sqrt[ (100)*(0.20)*(1- 0.20) ] = 4.0      Prob{X 15} =           = NormalZ{Z ((15.5) -)/}   (

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