Concept explainers
Statistics grades: In a statistics class of 30 students, there were 13 men and 17 women. Two of the men and three of the women received an A in the course. A student is chosen at random from the class.
- Find the
probability that the student is a woman. - Find the probability that the student received an A.
- Find the probability that the student is a woman or received an A.
- Find the probability that the student did not receive an A.
a.
To find: The probability of chosen a woman from the class.
Answer to Problem 40E
The probability of chosen a woman from the class is
Explanation of Solution
Given information: The number of student in statistics class is
Calculation:
In a statistics class of
Hence,
b.
To find: The probability of the student receivedan
Answer to Problem 40E
The probability of the student received an
Explanation of Solution
Given information: The number of student in statistics class is
Calculation:
In a statistics class of
The total number of students who received an
Hence,
c.
To find: The probability of the studentis a woman orreceivedan
Answer to Problem 40E
The probability of the student is a woman or received an
Explanation of Solution
Given information: The number of student in statistics class is
Calculation:
In a statistics class of
The general addition rule for any two events
Here,
Thus,
d.
To find: The probability of the student did not receivedan
Answer to Problem 40E
The probability of the student did not received an
Explanation of Solution
Given information: The number of student in statistics class is
Calculation:
The rule of complements for any event
So,
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Chapter 5 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
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