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You are trying to locate an old high school friend who lives in Chicago. Unfortunately, your friend's name is Anthony Smith and the Chicago phone book lists phone numbers for 24 different people named Anthony Smith.
a) If you call 10 of these Anthony Smith's at random, what is the probability that you will call your friend? (Assume that your friend's phone number is listed in the phone book, and that you don't call anybody twice.)
b) Let X be the number of calls you need to make until you find your friend. Give the probability mass function for X.
c) How many calls do you expect to make until you find your friend? (Again, assume that your friend's phone number is listed in the phone book, and that you don't call anybody twice.)
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Use the p value method to determine whether or not to accept or reject the null and alternate hypotheses.
A doctor believes that the standard deviation of systolic blood pressure is 450. A random sample of 24 patients found a standard deviation of 520. Assume the variable is normally distributed and = 0.01. What are the critical values?
According to the survey, 37% of the adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability that:
A researcher discovers the number of parking tickets that a group of students have received during their driving careers. Twenty students reply and they have received between 9 and 20 parking tickets.
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