Jthbution 3 20 points According to the Federal Communications Commission, 70% of
ID: 3321298 • Letter: J
Question
Jthbution 3 20 points According to the Federal Communications Commission, 70% of all US households have vers. In a random sample of 15 households, what is the probability that the number of households with vers is exactly 82 a. b. what is the mean number of households with vers? c. what is the standard deviation of the number of households with vers? d. what is the variance of the number of households with vers? normally distributed variable. ind the indicated probability or percentage for the 4. [20 pts] Using the standard normal distribution, answer the following questions. a. Calculate P(z S 1.75)Explanation / Answer
3) p = 0.7
n = 15
P(X = x) = 15Cx * 0.7x * (1 - 0.7)15-x
a) P(X = 8) = 15C8 * 0.78 * 0.37 = 0.0811
b) Mean = n * p = 15 * 0.7 = 10.5
c) standard deviation = sqrt(n * p * (1 - p)) = sqrt(15 * 0.7 * 0.3 ) = 1.77
d) Variance = n * p * (1 - p) = 15 * 0.7 * 0.3 = 3.15
4)
a) P(Z < 1.75) = 0.9599
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