A computer laboratory in a school has 33 computers. Each of the 33 computers has a 90% reliability. Allowing for 10% of the computers to be down, an instructor specifies an enrollment ceiling of 30 for his class. Assume that a class of 30 students is taken into the lab.

a. What is the probabilitythat each of the 30 students will get a computer in working condition?

b. The instructor is shocked to see the low value of the answer to (a), and decides to improve it to 95% by doing one of the following:

i. Decreasing the enrollment ceiling.

ii. Increasing the number of computers in the lab.

iii. Increasing the reliability of all the computers.

To help the instructor, find out what the increase or decrease should be for each of the three alternatives.

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A computer laboratory in a school has 33 computers. Each of the 33 computers has a 90% reliability. Allowing for 10% of the computers to be down, an instructor specifies an enrollment ceiling of 30 for his class. Assume that a class of 30 students is taken into the lab.

a. What is the probability that each of the 30 students will get a computer in working condition?

Denote by X the number of computers in working condition. Then X follows binomial distribution with n=33 and p=0.9. We need to compute .

There are two ways to get this …

This solution contains step-by-step calculations and explanations to determine probabilities, and how each of the three situations affects how many students get a working computer. All formulas are shown.