4-82. Phoenix water is provided to approximately 1.5 million people who are served through more than 370,000 accounts (http:// phoenix.gov/WATER/wtrfacts.html). All accounts are metered and billed monthly. The probability that an account has an error in a month is 0.001, and accounts can be assumed to be independent. (a) What are the mean and standard deviation of the number of account errors each month? (b) Approximate the probability of fewer than 350 errors in a month. (c) Approximate a value so that the probability that the number of errors exceeds this value is 0.05. (d) Approximate the probability of more than 400 errors per month in the next two months. Assume that results between months are independent.

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Q.4-82
probabilities
(a) More than 23 chips are defective.
(b) Between 20 and 30 chips are defective.
bas
4-81. There were 49.7 million people with some type of long-
lasting condition or disability living in the United States in
2000. This represented 19.3 percent of the majority of civilians
aged five and over (http://factfinder.census.gov). A sample of
1000 persons is selected at random.
(a) Approximate the probability that more than 200 persons in
the sample have a disability.
(b) Approximate the probability that between 170 and 320
people in the sample have a disability.
4-82. Phoenix water is provided to approximately 1.5 million
people who are served through more than 370,000 accounts (http://
phoenix.gov/WATER/wtrfacts.html). All accounts are metered and
billed monthly. The probability that an account has an error in a
month is 0.001, and accounts can be assumed to be independent.
(a) What are the mean and standard deviation of the number of
neru
account errors each month?
(b) Approximate the probability of fewer than 350 errors in a month.
(c) Approximate a value so that the probability that the number
of errors exceeds this value is 0.05.
(d) Approximate the probability of more than 400 errors per
month in the next two months. Assume that results between
months are independent.
4-83. An electronic office product contains 5000 electronic com-
ponents. Assume that the probability that each component oper-
ates without failure during the useful life of the product is 0.999,
and assume that the components fail independently. Approximate
the probability that 8 or more of the original 5000 components
fail during the useful life of the product.
4-84. A cornorate Web rita
Transcribed Image Text:probabilities (a) More than 23 chips are defective. (b) Between 20 and 30 chips are defective. bas 4-81. There were 49.7 million people with some type of long- lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over (http://factfinder.census.gov). A sample of 1000 persons is selected at random. (a) Approximate the probability that more than 200 persons in the sample have a disability. (b) Approximate the probability that between 170 and 320 people in the sample have a disability. 4-82. Phoenix water is provided to approximately 1.5 million people who are served through more than 370,000 accounts (http:// phoenix.gov/WATER/wtrfacts.html). All accounts are metered and billed monthly. The probability that an account has an error in a month is 0.001, and accounts can be assumed to be independent. (a) What are the mean and standard deviation of the number of neru account errors each month? (b) Approximate the probability of fewer than 350 errors in a month. (c) Approximate a value so that the probability that the number of errors exceeds this value is 0.05. (d) Approximate the probability of more than 400 errors per month in the next two months. Assume that results between months are independent. 4-83. An electronic office product contains 5000 electronic com- ponents. Assume that the probability that each component oper- ates without failure during the useful life of the product is 0.999, and assume that the components fail independently. Approximate the probability that 8 or more of the original 5000 components fail during the useful life of the product. 4-84. A cornorate Web rita
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