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 0.82 and 0.98? (c) What is the probability of generating a number greater than 0.94? (a) Choose the correct graph of the uniform density function below. OA. OB. Ос. ADensity 1.2- ADensity 1.2- Density 1.2- 1- 1- 1- 0.8- 0.8- 0.8- 0.6- 0.6- 0.4- 0.2- 0.6- 0.4- 0.2- 0- o 0.2 0.4 0.6 o.8 i 1.2 0.4- 0.2- 0- o 02 0.4 0.6 0.8 i 1.2 0- Ó 0.2 0.4 0.6 0.8 i 12 (b) The probability is |. (Simplify your answer.) (c) The probability is (Simplify your answer.)

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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 0.82 and 0.98?
(c) What is the probability of generating a number greater than 0.94?
...
(a) Choose the correct graph of the uniform density function below.
A.
В.
OC.
ADensity
1.2-
ADensity
1.2-
1-
ADensity
1.2-
1
1.
0.8-
0.6-
0.4-
0.2-
0-
0.8-
0.6-
0.4-
0.2-
0-
0.8-
0.6-
0.4-
0.2-
0+
X
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 0.82 and 0.98? (c) What is the probability of generating a number greater than 0.94? ... (a) Choose the correct graph of the uniform density function below. A. В. OC. ADensity 1.2- ADensity 1.2- 1- ADensity 1.2- 1 1. 0.8- 0.6- 0.4- 0.2- 0- 0.8- 0.6- 0.4- 0.2- 0- 0.8- 0.6- 0.4- 0.2- 0+ X 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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