Question

A survey of 200 people included questions about age and whether or not the person had...

A survey of 200 people included questions about age and whether or not the person had any tattoos. The data for these two questions are summarized in the table below. Use the table to answer the questions that follow.

Age # With Tattoo # With No Tattoo Totals by Age
18 to 24 14 48 62
25 to 29 12 29 41
30 to 39 8 13 21
40 to 49 9 22 31
50 to 64 3 22 25
65 and up 1 19 20
Totals 47 153 200

Suppose a person is chosen at random from the 200 people included in this survey. Enter all of your probabilities as percentages, rounded to the nearest tenth of a percent.

a. What is the probability that the person is age 25 to 29 or has a tattoo?

b.  If the randomly selected person has a tattoo, what is the probability that the person is age 25 to 29?

c. If the randomly selected person is age 25 to 29, what is the probability that the person has a tattoo?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Probability = Favorable Outcomes / Total Outcomes

P(A or B) = P(A) + P(b) - P(A and B)

Also By Bayes Theorem, P(A given B) = P(A And B) / P(B)

_____________________________________________

(a) P(25 - 29 or has a Tattoo)

= P(25 - 29) + P(tattoo) - P(25 - 29 and has a Tattoo)

= 41/200 + 47/200 - 12/200 = 76/200 = 0.380

____________________________________________

(b) P(25 - 29 given he has a tattoo) = P(25 - 29 and has a tattoo) / P(tattoo) = (12/200) / (47/200) = 12/47 = 0.255

______________________________________________

(c) P(Has a tattoo given 25-29 year) = P(has a tattoo and is 25 - 29 years) / P(25-29) = (12/200) / (41/200) = 12/41 = 0.293

______________________________________________

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
One hundred people were surveyed about their breakfast preferences. They had between french toast and pancakes...
One hundred people were surveyed about their breakfast preferences. They had between french toast and pancakes and between sausage and bacon. The results the table below. Category french toast pancakes sausage 25 21 bacon 23 31 1. What is the probability that a randomly selected person from the survey prefers bacon. 2. What is the probability that a randomly selected person from the survey prefers pancakes? 3. What is the probability that a randomly selected person from the survey prefers...
A company surveyed 1000 people on their age and the number of jeans purchased annually. The...
A company surveyed 1000 people on their age and the number of jeans purchased annually. The results of the poll are shown in the table. Jeans Purchased Annually 0 1 2 3 or More Total Under 12 0     79     62         39   180 12-18 17     83     101         59   260 19-25 35     54     159         52   300 over 25 37     71     139         13   260 Total 89     287     461         163   1000 A person is selected at random. Compute the probability of the following. (a)...
Two hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups...
Two hundred consumers were surveyed about a new brand of snack food, Crunchicles. Their age groups and preferences are given in the table. 18–24 25–34 35–55 55 and over Total Liked Crunchicles 4 5 3 4 16 Disliked Crunchicles 7 22 22 36 87 No Preference 27 19 10 41 97 Total 38 46 35 81 200 One consumer from the survey is selected at random. Use reduced fractions for your responses to each of the following questions. What is...
In a marketing survey of 200 people about headache relief options, 87 said they preferred Brand...
In a marketing survey of 200 people about headache relief options, 87 said they preferred Brand A, 74 said they preferred Brand B, and 27 said they preferred Brand C, while the remainder said they did not have any preferences and would typically purchase whichever brand was cheapest. What is the probability that a randomly selected participant does not have any preference about which brand of medication they choose for headache relief?
Using the given information answer the following questions. Show work where appropriate. In a survey of...
Using the given information answer the following questions. Show work where appropriate. In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of inches 68.9 and a standard deviation of 3.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 68 inches. (b) Find the probability that a study participant...
Question 5 In a survey on study habits, students at a local college were asked whether...
Question 5 In a survey on study habits, students at a local college were asked whether they listened to music while studying. The following table was constructed. Listens to Music Does Not Listen to Music Male 49 16 Female 5 31 Find the probability that a randomly selected student listens to music while studying given that the student is female. Write only a number a your answer. Round to two decimal places (for example: 0.73). Do not write as a...
A person’s muscle mass is expected to be associated with age. Some people also thought exercise...
A person’s muscle mass is expected to be associated with age. Some people also thought exercise time would be associated with the muscle mass. To explore the potential relationships between muscle mass and age, muscle mass and exercise time, a nutritionist randomly selected 20 women from a population of women with age ranging from 40 to 80 years old, and measured their muscle mass (a score without unit) and exercise time (hours per month) Patient Age MuscleMass ExcerciseTime 1 43...
B. Determine whether or not the table is a valid probability distribution of a discrete random...
B. Determine whether or not the table is a valid probability distribution of a discrete random variable. Explain fully. X 0.23 0.14 0.17 P(X=x) -0.22 0.38 0.84 Daily sales of a medium sized restaurant are normally distributed with a mean of $720 and a standard deviation of $80. What is the probability that a randomly selected day will make a sales of at least $656? What is the probability that a randomly selected day will make a sales between $680...
1- In a study done by Statistics Weekly, they found that 12% of people believe that...
1- In a study done by Statistics Weekly, they found that 12% of people believe that there will eventually be a zombie apocalypse. Suppose we have a random sample of 500, would it be unusual to find 43 people who believe that there will eventually be a zombie apocalypse. Would it be unusual to find 70 people who believe that there will eventually be a zombie apocalypse? 2-The age at the time of marriage was obtained for a random sample...
Data was collected for 364 randomly selected 10 minute intervals. For each ten-minute interval, the number...
Data was collected for 364 randomly selected 10 minute intervals. For each ten-minute interval, the number of people entering the atrium of a large mall were recorded. The data is summarized in the table below. Number   of Guests      Frequency    220 – 239 83 240 – 259 95 260 – 279 47 280 – 299 43 300 – 319 96 What is the class width for this GFDT? Class width = The number of students in the tutoring center was recorded...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT