Based on a poll, among adults who regret getting tattoos, 22% say that they were
ID: 2927446 • Letter: B
Question
Based on a poll, among adults who regret getting tattoos,
22%
say that they were too young when they got their tattoos. Assume that
six 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
sixsix
adults, is 1 a significantly low number who say that they were too young to get tattoos?
No,
Yes,
because the probability that
exactly 1
at least 1
more than 1
less than 1
at most 1
of the selected adults say that they were too young is
less than
greater than
equal to
0.05.
Explanation / Answer
Answer:
Based on a poll, among adults who regret getting tattoos, 22% say that they were too young when they got their tattoos. Assume that six adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.
Binomial distribution used. n=6, p=0.22
Binomial Probabilities Table
X
P(X)
0
0.2252
1
0.3811
2
0.2687
3
0.1011
4
0.0214
5
0.0024
6
0.0001
a. Find the probability that none of the selected adults say that they were too young to get tattoos.
P(x=0)=0.2252
(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.
P(x=1)=0.3811
(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.
P( x=0 or 1) =0.2252+0.3811
=0.6063
(Round to four decimal places as needed.)
d. If we randomly select six adults, is 1 a significantly low number who say that they were too young to get tattoos?
Answer: No,
Yes,
because the probability that
exactly 1
Answer: at least 1
more than 1
less than 1
at most 1
of the selected adults say that they were too young is
less than
Answer: greater than
equal to
0.05.
Binomial Probabilities Table
X
P(X)
0
0.2252
1
0.3811
2
0.2687
3
0.1011
4
0.0214
5
0.0024
6
0.0001
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