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What is the variance of the number of services

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Reference no: EM132848999

1) Next, a probability distribution is presented.

x Probability f (x)
0 0.10
1 0.14
two ?
3 0.22
4 0.15
5 0.08
Calculate and answer:

a) Find P (4)

b) What is the expected value (mean) of the number of services?

c) What is the variance of the number of services?

d) What is the standard deviation?

2. Consider a binomial experiment with n = 22 and p = 0.70. Use the binomial formula to calculate:

a) P (x = 15)

b) mean

c) variance

d) standard deviation

3. 40% of Americans who travel by car look for gas stations and grocery stores that are nearby or visible from the road. Suppose a random sample of n = 30 Americans who travel by car are asked how they determine where to stop for food and gas. Let x be the number of the sample that responds that it looks for gas stations and food stores that are close to or visible from the road (Mendenhall et al., 2015). (Use the binomial formula to solve the exercise). Answer:

to. What is the mean if x = 12?

b. What is the variance of x?

c. Calculate the interval μ ± 2σ

d. What values ??of the binomial random variable x fall in this interval?

Reference no: EM132848999

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