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.
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Statistics · §5.3 The Exponential Distribution (Optional) · Exercise 35
No hints for this one.
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