A computer laboratory in a school has 33 computers. Each of the 33 computers has 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? b. The instructor is surprised to see the low value of the answer to (a) and decides to improve it to at least 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.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A computer laboratory in a school has 33 computers. Each of the 33 computers has 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?
b. The instructor is surprised to see the low value of the answer to (a) and
decides to improve it to at least 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.

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