1) According to a Wall Street Journal article, 90% of all U.S. households have a cellular phone. (Tip: Binomial Distribution) a) If you call 8 households at random, what is the probability that more than six households have a cellular phone? b) For a sample of 25 households, find the expected value and the standard deviation of the number of households with cellular phones.

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Assignment23W06
Date:
1) According to a Wall Street Journal article, 90% of all U.S. households have a cellular phone.
(Tip: Binomial Distribution)
a) If you call 8 households at random, what is the probability that more than six households
have a cellular phone?
b) For a sample of 25 households, find the expected value and the standard deviation of the
number of households with cellular phones.
2) Normal Distribution. Assuming that the heights of college men are normally distributed
with mean 68 inches and standard deviation 3 inches; answer the following questions:
a) What percent of men are taller than 68 inches:
b) What percent of men is shorter than 68 inches:
c) What percent of men is between 65 inches and 71 inches:
d) What percent of men is between 62 inches and 74 inches:
3) Assume that x has a normal distribution with the specified mean and standard deviation.
Find the indicated probabilities. (Tips: Find the value for z; then, use the table)
a) P(x s 18); u = 20; o = 3
b) P(x 2 90); µ = 85; o = 10
c) P(12s xs 22); µ= 15; o = 4
1
Transcribed Image Text:Assignment23W06 Date: 1) According to a Wall Street Journal article, 90% of all U.S. households have a cellular phone. (Tip: Binomial Distribution) a) If you call 8 households at random, what is the probability that more than six households have a cellular phone? b) For a sample of 25 households, find the expected value and the standard deviation of the number of households with cellular phones. 2) Normal Distribution. Assuming that the heights of college men are normally distributed with mean 68 inches and standard deviation 3 inches; answer the following questions: a) What percent of men are taller than 68 inches: b) What percent of men is shorter than 68 inches: c) What percent of men is between 65 inches and 71 inches: d) What percent of men is between 62 inches and 74 inches: 3) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probabilities. (Tips: Find the value for z; then, use the table) a) P(x s 18); u = 20; o = 3 b) P(x 2 90); µ = 85; o = 10 c) P(12s xs 22); µ= 15; o = 4 1
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