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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?

Respuesta :

shinmin
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
ernikhil

(a) The probability that all of these adults have a only a cell phone and no landline is [tex](0.49)^4[/tex]

(b) The probability that none of these adults have only a cell phone and no landline is [tex](0.51)^4[/tex].

(c) The probability that at least one of these adults has only a cell phone and no landline is [tex]1-(0.51)^4=0.9323[/tex].

According to the question, the survey by the national center for health statistics found that 49% of adults ages 25–29 had only a cell phone and no landline.

Probability that adults ages 25–29 had only a cell phone and no landline is [tex]P_1=0.49[/tex]

Probability that adults ages 25–29 have only a cell phone and no landline is

[tex]P_2=1-0.49\\P_2=0.51[/tex]

On selection of random 4 persons aged between 25–29-

(a) probability that all of these adults have a only a cell phone and no landline is [tex](0.49)^4[/tex]

(b) the probability that none of these adults have only a cell phone and no landline is [tex](0.51)^4[/tex].

(c) the probability that at least one of these adults has only a cell phone and no landline is [tex]1-(0.51)^4=0.9323[/tex].

Learn more more probability here:

https://brainly.com/question/23044118?referrer=searchResults

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