Solution Found!
Charity The table shows the results of a survey that asked
Chapter 3, Problem 25E(choose chapter or problem)
The table shows the results of a survey that asked 2850 people whether they were involved in any type of charity work. A person is selected at random from the sample. Find the probability of each event.
|
Frequently |
Occasionally |
Not at all |
Total |
Male |
221 |
456 |
795 |
1472 |
Female |
207 |
430 |
741 |
1378 |
Total |
428 |
886 |
1536 |
2850 |
(a) The person is frequently or occasionally involved in charity work.
(b) The person is female or not involved in charity work at all.
(c) The person is male or frequently involved in charity work.
(d) The person is female or not frequently involved in charity work.
Questions & Answers
QUESTION:
The table shows the results of a survey that asked 2850 people whether they were involved in any type of charity work. A person is selected at random from the sample. Find the probability of each event.
|
Frequently |
Occasionally |
Not at all |
Total |
Male |
221 |
456 |
795 |
1472 |
Female |
207 |
430 |
741 |
1378 |
Total |
428 |
886 |
1536 |
2850 |
(a) The person is frequently or occasionally involved in charity work.
(b) The person is female or not involved in charity work at all.
(c) The person is male or frequently involved in charity work.
(d) The person is female or not frequently involved in charity work.
ANSWER:
Solution :
Step 1 of 4:
Given the results of a survey that asked 2850 people whether they were involved in any type of charity work.
Then the table is given below,
Frequently |
Occasionally |
Not at all |
Total |
|
Male |
221 |
456 |
795 |
1472 |
Female |
207 |
430 |
741 |
1378 |
Total |
428 |
886 |
1536 |
2850 |
a). We need to find the person is frequently or occasionally involved in charity work.
Then the probability that the person is frequently or occasionally involved in charity work is
P(frequently or occasionally) = P(frequently)+P(occasionally)
P(frequently or occasionally) =
P(frequently or occasionally) =
P(frequently or occasionally) = 0.4610
Therefore, the probability that the person is frequently or occasionally involved in charity work is 0.4610.