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Suppose we know that the number of items X produced in a factory during a week is a RV with mean 500. (a) What can

Suppose we know that the number of items X produced in a factory during a week is a RV with mean 500.

(a) What can be said about the probability that this week's production will be at least 1000 ?

(b) If the variance of a week's production is known to equal 100, then what can be said about the probability that this week's production will be between 400 and 600 ?

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