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Chapter 5: Q.5.7 (page 215)
The standard deviation of , denoted , is given by
Find if has variance .
The value of.
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The density function of is given by
role="math" localid="1646816210505"
Ifrole="math" localid="1646816286362" , find.
The number of minutes of playing time of a certain high school basketball player in a randomly chosen game is a random variable whose probability density function is given in the following figure:
Find the probability that the player plays
(a) more than minutes;
(b) between minutes;
(c) less than minutes;
(d) more than minutes
Suppose that the travel time from your home to your office is normally distributed with mean minutes and standard deviation minutes. If you want to be percent certain that you will not be late for an office appointment at p.m., what is the latest time that you should leave home?
Trains headed for destination A arrive at the train station at -minute intervals starting at 7 a.m., whereas trains headed for destination B arrive at -minute intervals starting at 7:05 a.m.
(a) If a certain passenger arrives at the station at a time uniformly distributed between and a.m. and then gets on the first train that arrives, what proportion of time does he or she go to destination A?
(b)What if the passenger arrives at a time uniformly distributed
between and a.m.?
The lifetimes of interactive computer chips produced
by a certain semiconductor manufacturer are normally distributed with parametershours and hours. What is the approximate probability that abatch of chips will contain at least whose lifetimes are less than ?
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