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05:22 05:22Finding New Music In Exercises 45–48, use the pie chart, which shows the results of a survey of 513 music listeners who were asked about their primary source for new music. (Source: The Sound of AI)
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47. You choose nine music listeners at random. What is the probability that none of them say their primary source for new music is friends or social media?
Using the Fundamental Counting Principle In Exercises 37-40, use the Fundamental Counting Principle.
40. True or False Quiz Assuming that no questions are left unanswered, in how many ways can a six-question true or false quiz be answered?
"According to Bayes’ Theorem, the probability of event A , given that event B has occurred, is
P(A|B) = P(A) * P(B|A)P(A) * P(B|A) + P(A') * P(B|A').
In Exercises 33–38, use Bayes’ Theorem to find P(A|B).
34. P(A) = 3/8, P(A') = 5/8, P(B|A) = 2/3 , and P(B|A') = 3/5 "
True or False? In Exercises 5 and 6, determine whether the statement is true or false. If it is false, rewrite it as a true statement.
6. If events A and B are dependent, then P(A and B) = P(A) · P(B).
1. When you calculate the number of permutations of n distinct objects taken r at a time, what are you counting? Give an example.
16. Can Defects Of the cans produced by a company, 96% do not have a puncture, 93% do not have a smashed edge, and 89.3% have neither a puncture nor a smashed edge. Find
the probability that a randomly selected can does not have a puncture or a smashed edge.
