Based on a? poll, among adults who regret getting? tattoos, 14 14?% say that the

Question

Based on a? poll, among adults who regret getting? tattoos, 14 14?% say that they were too young when they got their tattoos. Assume that five five adults who regret getting tattoos are randomly? selected, and find the indicated probability. Complete parts? (a) through? (d) below.

a. Find the probability that none of the selected adults say that they were too young to get tattoos.

nothing

?(Round to four decimal places as? needed.)

b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.

nothing

?(Round to four decimal places as? needed.)

c. Find the probability that the number of selected adults saying they were too young is 0 or 1.

nothing

?(Round to four decimal places as? needed.)

d. If we randomly select

fivefive

?adults, is 1 a significantly low number who say that they were too young to get? tattoos?

?

No,

Yes,

because the probability that

?

more than 1

at most 1

less than 1

at least 1

exactly 1

of the selected adults say that they were too young is

?

greater than

less than

equal to

0.05.

Explanation / Answer

p=0.14

q=1-p =1-0.14 =0.86

n=5

a)

P=nCr p^r q^(n-r)

here r=0

so P = (0.86)^(5)

           =0.4704270176

b)

P=nCr p^r q^(n-r)

here r=1

So,P =5 * (0.14)^1 (0.86)^(4)

              = 0.382905712

c)
P(X = 0 or 1)
=0.4704270176 +0.382905712
= 0.8533327296

d)
No ,

Since P(r=1) =0.382905712 which greater than 0.05,

So, No, because the probability that at at most 1 of the selected adults say that they were too young is greater than 0.05

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