It is reported that 14% of American households use a cell phone exclusively for
ID: 3221631 • Letter: I
Question
It is reported that 14% of American households use a cell phone exclusively for their telephone service. In a sample of nine households, find the probability that:
No household uses a cell phone as their exclusive telephone service.
(Round your answer to 4 decimal places.)
Exactly 6 households exclusively use a cell phone for telephone service. (Round your answer to 4 decimal places.)
Find the mean number of households exclusively using cell phones. (Round your answer to 4 decimal places.)
It is reported that 14% of American households use a cell phone exclusively for their telephone service. In a sample of nine households, find the probability that:
a.No household uses a cell phone as their exclusive telephone service.
(Round your answer to 4 decimal places.)
b.
Exactly 6 households exclusively use a cell phone for telephone service. (Round your answer to 4 decimal places.)
Explanation / Answer
We will use the binomial theorm to solve the problem.
Given , p = .14
n= 9 samples
a.
P(X=0)
= 9C0(.14^0)(1-.14)^9
= .2573
b.
P(X=6)
= 9C6(.14^6)(1-.14)^3
= .0004
c.
Mean
= E(X)
= np
= 9*.14
= 1.26
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