X~N(50,12). Suppose that you form random samples of 25 from this distribution. LetX

be the random variable of averages. LetXbe the random variable of sums.

1. Give the distribution ofx. (Enter an exact number as an integer, fraction, or decimal.) x~ ( , )
2. Sketch the graph, shade the region, label and scale the horizontal axis forx, and find the probability. (Round your answer to four decimal places.) P(x<50) =
3. Find the10thpercentile. (Round your answer to two decimal places.)
4. Sketch the graph, shade the region, label and scale the horizontal axis forx, and find the probability. (Round your answer to four decimal places.) P(9
5. Give the distribution ofX. X~ ( , )
6. Find the minimum value for the upper quartile forX. (Round your answer to two decimal places.)
7. Sketch the graph, shade the region, label and scale the horizontal axis forX, and find the probability. (Round your answer to four decimal places.) P(1200<X<1350) =