Umemployment If 8% of all people in a certain geographic region are unemployed,
ID: 3154232 • Letter: U
Question
Umemployment If 8% of all people in a certain geographic region are unemployed, find the probability that in a sample of 200 people, there are fewer than 10 people who are unemployed. Household Online Connection The percentage of U.S. households that have online connections is 44.9%. In a random sample of 420 households, what is the probability that fewer than 200 have online connections? Source: New Yark Times Almanac. Computer Ownership Fifty-three percent of U.S. households have a personal computer. In a random sample of 250 households, what is the probability that fewer than 120 have a PC? Source: New Yark Times Almanac.Explanation / Answer
30.
Here, n = 200, p = 0.08.
We first get the z score for the critical value:
x = critical value = 9.5
u = mean = np = 16
s = standard deviation = sqrt(np(1-p)) = 3.836665219
Thus, the corresponding z score is
z = (x-u)/s = -1.694179614
Thus, the left tailed area is
P(z < -1.694179614 ) = 0.045115579 [ANSWER]
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31.
Here, n = 420, p = 0.449.
We first get the z score for the critical value:
x = critical value = 199.5
u = mean = np = 188.58
s = standard deviation = sqrt(np(1-p)) = 10.19350676
Thus, the corresponding z score is
z = (x-u)/s = 1.071270198
Thus, the left tailed area is
P(z < 1.071270198 ) = 0.857976022 [ANSWER]
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