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(1) A grocer stocks enough of a perishable commodity each morning to cover the expected daily demand. Having recorded the daily demand over a long period of time, the grocer found the following probability distribution for x, the daily demand:
X P(X)
1 .12 .23 .44 .25 .1
a. Calculate the mean or expected value of x.
b. Calculate the variance of x.
c. Calculate the standard deviation.
(2) Over a long period of time, it has been observed that a given rifleman can hit a target on a single trial with probability equal to .8. If he fires four shots at the target,
a. What is the probability that he will hit the target exactly 2 times?
b. What is the probability that he will hit the target more than 3 times?
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