The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.63 and 0.76? (c) What is the probability of generating a number greater than 0.83? ..... (a) Choose the correct graph of the uniform density function below.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number
generated, follows a uniform probability distribution.
(a) Identify the graph of the uniform density function.
(b) What is the probability of generating a number between 0.63 and 0.76?
(c) What is the probability of generating a number greater than 0.83?
(a) Choose the correct graph of the uniform density function below.
A.
В.
ADensity
1.2-
ADensity
1.2-
1-
0.8-
0.6-
0.4-
0.2-
ADensity
1.2-
1.
0.8-
0.6-
0.4-
0.2-
0+
1
0.8-
0.6-
0.4-
0.2-
0+
X
X
0-
0 0.2 0.4 0.6 0.8 1 1.2
0.2 0.4 0.6 0.8 1
1.2
0.2 0.4 0.6 0.8
1
1.2
(b) The probability is
(Simplify your answer.)
(c) The probability is
|. (Simplify your answer.)
Transcribed Image Text:The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.63 and 0.76? (c) What is the probability of generating a number greater than 0.83? (a) Choose the correct graph of the uniform density function below. A. В. ADensity 1.2- ADensity 1.2- 1- 0.8- 0.6- 0.4- 0.2- ADensity 1.2- 1. 0.8- 0.6- 0.4- 0.2- 0+ 1 0.8- 0.6- 0.4- 0.2- 0+ X X 0- 0 0.2 0.4 0.6 0.8 1 1.2 0.2 0.4 0.6 0.8 1 1.2 0.2 0.4 0.6 0.8 1 1.2 (b) The probability is (Simplify your answer.) (c) The probability is |. (Simplify your answer.)
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