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Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman
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Household Computers According to recent surveys, 60% of

Chapter 6, Problem 14E

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QUESTION:

Problem 14E

Household Computers According to recent surveys, 60% of households have personal computers. If a random sample of 180 households is selected, what is the probability that more than 60 but fewer than 100 have a personal computer?

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QUESTION:

Problem 14E

Household Computers According to recent surveys, 60% of households have personal computers. If a random sample of 180 households is selected, what is the probability that more than 60 but fewer than 100 have a personal computer?

ANSWER:

Answer

Step 1 of 1

(a)

60% of households have personal computers.

We have given sample of 180 households.

We are asked to find the probability that more than 60 but fewer than 100 have a personal computer.

Let  denote the number of personal computers.

We need to find

Here we will use the normal approximation to the binomial approximation.

Here,

Check to see whether a normal approximation can be used.

Since

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