Calculate the mean or expected value of x

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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 .1
2 .2
3 .4
4 .2
5 .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?

Reference no: EM132857905

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