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A certain type of automobile battery is known to last an average of1180days with a standard deviation of100days. If400of these batteries are selected, find the

A certain type of automobile battery is known to last an average of1180days with a standard deviation of100days. If400of these batteries are selected, find the following probabilities for the average length of life of the selected batteries. (Round your answers to four decimal places.)

(a)

The average is between1174and1180.

(b)

The average is greater than1186.

(c)

The average is less than930.

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