Question: Ace Heating and Air Conditioning Service finds that the amount of time repairman needs to fix a furnace is uniformly distributed between 1.5 and 4 hours

- Let \(x=\) the time needed to fix a furnace.

- Let \(x\) be the random variable of averages.

- Let \(\Sigma X\) be the random variable of sums

Suppose that you form random samples of 36 from this distribution.

1. \(P(x<8)=\)
2. The longest \(25 \%\) of furnace repair times take at least how long? (Find the minimum time for the longest \(25 \%\) of repairs.)
3. \(P(\bar{x}<3)=\)
4. Find the 30th percentile for the average of repair time for these
5. \(P(5<\bar{x}<7)=\)

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