It is reported that 27% of American households use a cell phone exclusively for

Question

It is reported that 27% of American households use a cell phone exclusively for their telephone service. In a sample of eighteen households, find the probability that: a. No household uses a cell phone as their exclusive telephone service. (Round your answer to 4 decimal places.) Probability b. Exactly 12 households exclusively use a cell phone for telephone service. (Round your answer to 4 decimal places.) Probability c. Find the mean number of households exclusively using cell phones. (Round your answer to 4 decimal places.) Mean 0.3038

Explanation / Answer

this is a binomial distribution so

p is gonna be the probability of american households use a cell phone exclusively for their telephone service.

p=0.27

q p is gonna be the probability of american households not use a cell phone exclusively for their telephone service.

q=0.73

a)

P(x=0)=(18C0)(0.23^0)*(0.73^18) =0.0035

b)

P(x=12)=(18C12)(0.23^12)*(0.73^6) =0.0000

c)

mean np

18*0.23=4.14

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