1st Edition

ISBN: 9781938168208

Author: Barbara Illowsky, Susan Dean

Publisher: OpenStax College

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Textbook Question

Chapter 5, Problem 94H

Let X ~ Exp(0.l).

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 40th percentile and find the value.

h. Find the average value of x.

Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.

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Chapter 5, Problem 93H

Chapter 5, Problem 95H

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