Cell phones and surveys ii the survey by the national center for health statistics further found that 49% of adults ages 25-29 had only a cell phone and no landline. we randomly select four 25-29-year-olds:

a. what is the probability that all of these adults have a only a cell phone and no landline?

b. what is the probability that none of these adults have only a cell phone and no landline?

c. what is the probability that at least one of these adults has only a cell phone and no landline?

Question

Mathematics

Alex Mckay

23 August, 20:19

Cell phones and surveys ii the survey by the national center for health statistics further found that 49% of adults ages 25-29 had only a cell phone and no landline. we randomly select four 25-29-year-olds:

a. what is the probability that all of these adults have a only a cell phone and no landline?

b. what is the probability that none of these adults have only a cell phone and no landline?

c. what is the probability that at least one of these adults has only a cell phone and no landline?

+1

Answers (1)

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Lee Shepard · Answer 1

The following is the solution for the problems given above:

A. The probability that all adults have only a cellphone is P (only cellphone) = 0.49 ^ 4 = 0.0576

B. If 49% only have a cellphone and no landline, then only 51% don’t have this combination of phones, so therefore: P (no one with only a cellphone) = 0.51^4 = 0.0677

C. If at least one of them has a cellphone: P (at least one with cell phone) = 1 - P (cellphone and/or landline) = 1 - (0.51) ^4 = 0.9323