Refer to given Exercise. Suppose that a student is asked to choose a number from 1 to 10. Define event A to be that the student chooses the number 5, and event B to be that the student chooses an even number.
a. What is P(A and B)?
b. Are events A and B independent? Explain how you know.
c. Are events A and B mutually exclusive? Explain how you know.
Exercise
When 190 students were asked to pick a number from 1 to 10, the number of students selecting each number were as follows:
|
Number
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
Total
|
|
Frequency
|
2
|
9
|
22
|
21
|
18
|
23
|
56
|
19
|
14
|
6
|
190
|
a. What is the approximate probability that someone asked to pick a number from 1 to 10 will pick the number 3?
b. What is the approximate probability that someone asked to pick a number from 1 to 10 will pick one of the two extremes, 1 or 10?
c. What is the approximate probability that someone asked to pick a number from 1 to 10 will pick an odd number?