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OpenStax, Statistics §5.3 The Exponential Distribution (Optional) · Exercise 35 · Probability · Continuous distributions

The Exponential Distribution (Optional) · Exercise 35

Let X ~ Exp(0.1).

(a) decay rate = ________
(b) μ = ________
(c) Graph the probability distribution function.
(d) On the graph, shade the area corresponding to P(x < 6), and find the probability.
(e) Sketch a new graph, shade the area corresponding to P(3 < x < 6), and find the probability.
(f) Sketch a new graph, shade the area corresponding to P(x < 7), and find the probability.
(g) Sketch a new graph, shade the area corresponding to the 40^th percentile and find the value.
(h) Find the average value of x.

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OpenStax, Statistics · §5.3 The Exponential Distribution (Optional) · Exercise 35

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