Question

# X ~ N(50, 11). Suppose that you form random samples of 25 from this distribution. Let...

X ~ N(50, 11). 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.

Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.)

Sketch the graph, shade the region, label and scale the horizontal axis for X, and find the probability. (Round your answer to four decimal places.)

Give the distribution of ΣX.

Find the minimum value for the upper quartile for ΣX. (Round your answer to two decimal places.)

Find the minimum value for the upper quartile for ΣX. (Round your answer to two decimal places.)

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.)

The solution to this problem is given by

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