(a)
To find:
The
(a)
Answer to Problem 20E
Solution:
The probability of the given
Explanation of Solution
Given information:
Mrs. Harvey’s algebra class has 42 students, classified by academic year and gender as follows.
Mrs. Harvey’s Algebra Class | ||
Male | Female | |
Freshman | 9 | 13 |
Sophomore | 4 | 5 |
Junior | 4 | 2 |
Senior | 2 | 3 |
Definition:
Dependent Event:
Two events are dependent if one event happening effect the probability of the other event happening.
Formula used:
If
Calculation:
Total number of student is 42. Total number of student will be reduced by 1, in 2nd selection.
There are 4 boy sophomores.
There are 13 girl freshmen.
Let
Calculate the probability of event
Calculate the probability of event
Use the multiplication rule to calculate the probability of dependent events
Conclusion:
Thus, the probability of the given event is 0.03019.
(b)
To find:
The probability that two boys are chosen.
(b)
Answer to Problem 20E
Solution:
The required probability is 0.1986.
Explanation of Solution
Given information:
Mrs. Harvey’s algebra class has 42 students, classified by academic year and gender as follows.
Mrs. Harvey’s Algebra Class | ||
Male | Female | |
Freshman | 9 | 13 |
Sophomore | 4 | 5 |
Junior | 4 | 2 |
Senior | 2 | 3 |
Definition:
Dependent Event:
Two events are dependent if one event happening effect the probability of the other event happening.
Formula used:
If
Calculation:
Total number of student is 42. Total number of student will be reduced by 1, in 2nd selection.
Total number of boys is
Let
Calculate the probability of event
Calculate the probability of event
Use the multiplication rule to calculate the probability of dependent events
Conclusion:
Thus, the required probability is 0.1986.
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Chapter 4 Solutions
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