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Concept explainers
a)
To find
a)
![Check Mark](/static/check-mark.png)
Answer to Problem 22E
The probability that neither has studied Calculus = 0.303
Explanation of Solution
Given:
P(Never) = 55% = 0.55
P(One) = 32% = 0.32
P(Two or more) = 0.13
P(no more than one) = 0.32
Formula:
Multiplication rule:
Hence, probability that neither has studied Calculus is 30.3%
b)
To find probability that both have studied at least one semester of calculus.
b)
![Check Mark](/static/check-mark.png)
Answer to Problem 22E
The probability that both have studied at least one semester of calculus = 0.203
Explanation of Solution
Given:
P(Never) = 55% = 0.55
P(One) = 32% = 0.32
P(Two or more) = 0.13
P(no more than one) = 0.32
P(Some) = 0.45
Formula:
Multiplication rule:
Hence, probability that both have studied at least one semester of calculus is 20.3%
c)
To find probability that at least one has had more than one semester of calculus.
c)
![Check Mark](/static/check-mark.png)
Answer to Problem 22E
The probability that at least one has had more than one semester of calculus= 0.697
Explanation of Solution
Given:
P(Never) = 55% = 0.55
P(One) = 32% = 0.32
P(Two or more) = 0.13
P(no more than one) = 0.32
P(Some) = 0.45
P(Neither) = 0.303
Formula:
Complement rule:
Hence, probability that at least one has had more than one semester of calculus is 69.7%
Chapter 14 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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