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 0.37 and 0.81? (c) What is the probability of generating a number greater than 0.82? (a) Choose the correct graph of the uniform density function below. O A. OB. O C. ADensity 1.2- 14 0.8- 0.6- 0.4- 0.2- 0+ 0 0.2 0.4 0.6 0.8 1 1.2 A Density 1.2- 1 0.8- 0.6- 0.4- 0.2- 0+ 0 0.2 0.4 0.6 0.8 ADensity 1.2- 1- 0.8- 0.6- 0.4- ›0.2- 0- 1 1.2 0 0.2 0.4 0.6 0.8 1 > 1.2
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 0.37 and 0.81? (c) What is the probability of generating a number greater than 0.82? (a) Choose the correct graph of the uniform density function below. O A. OB. O C. ADensity 1.2- 14 0.8- 0.6- 0.4- 0.2- 0+ 0 0.2 0.4 0.6 0.8 1 1.2 A Density 1.2- 1 0.8- 0.6- 0.4- 0.2- 0+ 0 0.2 0.4 0.6 0.8 ADensity 1.2- 1- 0.8- 0.6- 0.4- ›0.2- 0- 1 1.2 0 0.2 0.4 0.6 0.8 1 > 1.2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Parts a-c
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 0.37 and 0.81?
(c) What is the probability of generating a number greater than 0.82?
(a) Choose the correct graph of the uniform density function below.
O A.
OB.
O C.
ADensity
1.2-
14
0.8-
0.6-
0.4-
0.2-
0+
0 0.2 0.4 0.6 0.8 1
1.2
A Density
1.2-
1
0.8-
0.6-
0.4-
0.2-
0+
0 0.2 0.4 0.6 0.8 1
)
1.2
ADensity
1.2-
1-
0.8-
0.6-
0.4-
0.2-
0-
0 0.2 0.4 0.6 0.8 1
>
1.2
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