Normal Distribution

Oct 2019
united states
X ~ N(60, 9). Suppose that you form random samples of 25 from this distribution. Let X be the random variable of averages. Let ΣX be the random variable of sums.

a) Give the distribution of ΣX.
b) Find the minimum value for the upper quartile for ΣX
Sketch the graph, shade the region, label and scale the horizontal axis for ΣX, and find the probability. (Round your answer to four decimal places.)

P(1450 < ΣX < 1600) =