As part of its effort to schedule television coverage for its major events, the ATP (Association of

Question:

As part of its effort to schedule television coverage for its major events, the ATP (Association of Tennis Professionals) keeps track of match times in tournaments. The organization has found that the distribution of match times is approximately normal, with a mean of 128 minutes and a standard deviation of 24 minutes.

a. What percentage of the matches takes more than 3 hours?

b. What percentage of the matches takes between 100 and 140 minutes?

c. What percentage of the matches takes no more than 90 minutes?

d. If a TV network schedules two and a half hours for coverage of a match, how likely is it that the match will not be finished by the end of the time scheduled?

e. If a TV network schedules two and a half hours for coverage of a match, how likely is it that the match will be finished at least a half hour before the end of the time scheduled?

Distribution
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