Question

Volunteers were asked to fill out a survey about body piercings and tattoos. The probability that...

Volunteers were asked to fill out a survey about body piercings and tattoos. The probability that a person has a tattoo is 0.3. For this problem, we can assume that the volunteers are independent.

a) What is the probability that three people will have a tattoo out of 10 volunteers surveyed?

b) How many volunteers out of 10 can we expect to have a tattoo?

c) What is the probability that it will take asking at least 3 volunteers to find the first person to have a tattoo?

d) How many volunteers should we expect to ask to find the first one that has a tattoo?

e) What is the probability that it will take asking at least 5 volunteers to find the third person to have a tattoo?

f) How many volunteers should we expect to ask to find three people who have a tattoo?

Homework Answers

Answer #1

a)

probability that three people will have a tattoo out of 10 volunteers surveyed

=10C3(0.3)3*(0.7)7=0.266828

b)

expected number =np=10*0.3=3

c)

probability that it will take asking at least 3 volunteers to find the first person to have a tattoo

=P(first 2 person not have tattoo)=(0.7)2 =0.49

d)

expect to ask to find the first one that has a tattoo =1/p=1/0.3=3.33

e)

probability that it will take asking at least 5 volunteers to find the third person to have a tattoo

=P(at most 2 person have tattoo in first 4)=P(X=0)+P(X=1)+P(X=2)

=4C0*(0.3)0(0.7)4+4C1*(0.3)1(0.7)3+4C2*(0.3)2(0.7)2 =0.9163

f)

expected value =r/p=3/0.3 =10

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1229...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1229 males​ surveyed, 182 responded that they had at least one tattoo. Of the 1020 females​ surveyed, 137 responded that they had at least one tattoo. Construct a 90​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p1 represent the proportion...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1210...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1210 males​ surveyed,184 responded that they had at least one tattoo. Of the 1039 females​ surveyed,138 responded that they had at least one tattoo. Construct a 90​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p1 represent the proportion of males...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1213...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1213 males​ surveyed, 191 responded that they had at least one tattoo. Of the 1046 females​ surveyed, 133 responded that they had at least one tattoo. Construct a 90​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p1 represent the proportion...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1210...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1210 males​ surveyed, 185 responded that they had at least one tattoo. Of the 1075 females​ surveyed, 135 responded that they had at least one tattoo. Construct a 99​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.Let p1 represent the proportion of...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1206...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1206 males​ surveyed, 198 responded that they had at least one tattoo. Of the 1046 females​ surveyed, 127 responded that they had at least one tattoo. Construct a 95​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p 1p1 represent the...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1216...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1216 males​ surveyed, 179 responded that they had at least one tattoo. Of the 1030 females​ surveyed, 139 responded that they had at least one tattoo. Construct a 99​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p1 represent the proportion...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1213...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1213 males​ surveyed, 179 responded that they had at least one tattoo. Of the 1031 females​ surveyed, 148 responded that they had at least one tattoo. Construct a 99​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p1 represent the proportion...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 12271227...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 12271227 males​ surveyed, 190190 responded that they had at least one tattoo. Of the 10601060 females​ surveyed, 129129 responded that they had at least one tattoo. Construct a 9999​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p 1p1 represent the...
A survey? asked, "How many tattoos do you currently have on your? body?" Of the 12281228...
A survey? asked, "How many tattoos do you currently have on your? body?" Of the 12281228 males? surveyed, 199199 responded that they had at least one tattoo. Of the 10701070 females? surveyed, 126126 responded that they had at least one tattoo. Construct a 9090?% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.Let p 1p1 represent the proportion...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1244...
A survey​ asked, "How many tattoos do you currently have on your​ body?" Of the 1244 males​ surveyed, 192 responded that they had at least one tattoo. Of the1070 females​ surveyed, 146 responded that they had at least one tattoo. Construct a 99​% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. a.Let p1 represent the proportion of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT