Question: X ~ exp(0.5). Suppose that you form random samples of 36 from this distribution. Let x be the random variable of averages. Let \(\bar{X}\) be the random variable. Let \(\sum{X}\) be the random variable of sums.

1. P ( \(\bar{X}\) < 8)
2. Find the 30th percentile for the mean.
3. P(7 < \(\bar{X}\) <10)
4. P( \(\sum{X}\) > 11) =
5. Find the 30th percentile for the sum.
6. P(20 < \(\sum{X}\) < 150)

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