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It is estimated that 75% of all young adults between the ages of 18-35 do not...

It is estimated that 75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell phone at home. (f) What is the distribution of the number of young adults in a sample of 100 who do not own a landline? (g) What is the probability that exactly half the young adults in a simple random sample of 100 do not own a landline? (h) What is the probability that more than 20% of the young adults in a simple random sample of 100 do not own a landline?

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Answer #1

given that p=0.75, n=100

(f) The distribution of the number of young adults in a sample of 100 who do not own a landline is

Binomial with parameters n=100 and p=0.75.

(g) Let X:  the number of young adults in a sample of 100 who do not own a landline.

Then, the probability that exactly half the young adults in a simple random sample of 100 do not own a landline is

(h)  the probability that more than 20% of the young adults in a simple random sample of 100 do not own a landline is

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