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(i understand the graphing but still have trouble with the formulas, help with these? i do...

(i understand the graphing but still have trouble with the formulas, help with these? i do not need the graphs drawn unless you want to)

For each probability and percentile problem, draw the picture.

Let X ~ Exp(0.15).

a. Sketch a new graph, shade the area corresponding to P(X < 7), and find the probability. (Round your answer to four decimal places.)

b.Sketch a new graph, shade the area corresponding to P(2 < X < 7), and find the probability. (Round your answer to four decimal places.)

c. Sketch a new graph, shade the area corresponding to P(X > 7), and find the probability. (Round your answer to four decimal places.)

d.Sketch a new graph, shade the area corresponding to the 40th percentile, and find the value. (Round your answer to two decimal places.)

e.Find the average value of X. (Round your answer to two decimal places.)

Sketch a new graph, shade the area corresponding to P(X < 7), and find the probability. (Round your answer to four decimal places.)

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