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. To help the instructor, find out what the increase or decrease should be for each of the three alternatives.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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.
To help the instructor, find out what the increase or decrease should be for each of
the three alternatives.
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