Concept explainers
a.
To find the probabilities associated with the number of answers Jessica answered correctly.
a.
Explanation of Solution
Given:
Jessica’s civics quiz consisted of five true or false questions.
Calculation:
The probability of
Here p represents the probability of success and q represents the probability of failure.
Since there are true or false questions.
While the failure is
Substitute in the above formula to find the probability that none of the answers are correct.
Substitute in the above formula to find the probability that one of the answers are correct.
Substitute in the above formula to find the probability that two of the answers are correct.
Substitute in the above formula to find the probability that three of the answers are correct.
Substitute in the above formula to find the probability that four of the answers are correct.
Thus, the probability that all five answers are correct.
b.
To find the probability that Jessica passes the quiz.
b.
Answer to Problem 4GP
Explanation of Solution
Given:
Jessica’s civics quiz consisted of five true or false questions.
Calculation:
Jessica must answer at least
So, the probability that Jessica passes the quiz is
Thus, the probability that Jessica passes the quiz is
c.
To find the number of questions that Jessica expected to answer correctly.
c.
Answer to Problem 4GP
Explanation of Solution
Given:
Jessica’s civics quiz consisted of five true or false questions.
Calculation:
In general, the mean, of any binomial distribution is,
Here n is the number of trials and p is the probability of success.
For the above situation, it is clear that
Thus, the number of questions that Jessica expected to answer correctly is
Chapter 11 Solutions
Glencoe Algebra 2 Student Edition C2014
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