For each probability and percentile problem, draw the picture.

Let X ~ Exp(0.15).

Part (a)

• decay rate = 1

Part (b)

• = 2 (rounded to two decimal places)

Part (c)

• Graph the probability distribution function.

Part (d)

• Sketch a new graph, shade the area corresponding to P(X < 7), and find the probability. (Round your answer to four decimal places.)
• 4

Part (e)

• Sketch a new graph, shade the area corresponding to P(4 < X < 7), and find the probability. (Round your answer to four decimal places.)
• 5

Part (f)

• Sketch a new graph, shade the area corresponding to P(X > 8), and find the probability. (Round your answer to four decimal places.)
• 6

Part (g)

• Sketch a new graph, shade the area corresponding to the 20th percentile, and find the value. (Round your answer to two decimal places.)
• 7

Part (h)

• Find the average value of X. (Round your answer to two decimal places.)
• 8