The shape of the distribution of the time required to get an oil change at a 10

Question

The shape of the distribution of the time required to get an oil change at a 10 minute oil change facility is unknown. However, records indicate that the mean time is 11.2 minutes and the standard deviation is 4.9 minutes.

(c) Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, thr oil change facility will perform 45 oil changes between 10 AM and 12 PM. There is a 10% chance of being at or below a mean oil change time of ___ minutes. Round to one decimal place as needed.

Explanation / Answer

for 10 percentile ; z score =-1.28

therefore There is a 10% chance of being at or below a mean oil change time of (11.2-1.28*4.9)=17.48 minutes

please revert for other subparts as I think question is missing

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