# Probabilities

A. Scores of high school students on a national mathematics exam in Egypt were normally distributed with a mean of 86 and a standard deviation of 4.

1. What is the probability that a randomly selected student will have a score of 80 or higher?

2. If there were 97,680 students with scores higher than 91, how many students took the test?

B. In a study of television viewing habits among married couples, a researcher found that for a popular Saturday night program, 25% of the husbands viewed the program regularly and 30% of the wives viewed the program regularly. The study found that, for couples where the husband watches the program regularly, 80% of the wives also watch regularly. What is the probability that both the husband and the wife watch the program regularly?

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#### Solution Summary

What is the probability that both the husband and the wife watch the program regularly?