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 0.83 and 1? (c) What is the probability of generating a number greater than 0.89? (a) Choose the correct graph of the uniform density function below. O A. OB. Oc. ADensity 1.24 ADensity 1.2- Q ADensity 1.2- 1- 1- 0.8- 0.6- 0.4- 0.2- 0.8 0.8- 0.6- 0.6- 0.4- 0.2- 0.4 0.2- 0+ o 0.2 o'4 0.6 0.8 o 02 0.4 0.6 0.8 i 12 o 02 0.4 0.6 0.8 i 1.2 1.2 (b) The probability isD. (Simplify your answer.) (c) The probability isn. (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 0.83 and 1?
(c) What is the probability of generating a number greater than 0.89?
...
(a) Choose the correct graph of the uniform density function below.
O A.
В.
OC.
ADensity
1.2-
1-
ADensity
1.2-
1.
0.8-
ADensity
1.2-
1
0.8-
0.8-
0.6-
0.4-
0.2-
0+
0.6-
0.6-
0.4-
0.2-
0.4-
0.2-
0+
0 0.2 0.4 0.6 0.8
X
X
0-
0 0.2 0.4 0.6 0.8 1
0 0.2 0.4 0.6 0.8 1
1.2
1
1.2
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 0.83 and 1? (c) What is the probability of generating a number greater than 0.89? ... (a) Choose the correct graph of the uniform density function below. O A. В. OC. ADensity 1.2- 1- ADensity 1.2- 1. 0.8- ADensity 1.2- 1 0.8- 0.8- 0.6- 0.4- 0.2- 0+ 0.6- 0.6- 0.4- 0.2- 0.4- 0.2- 0+ 0 0.2 0.4 0.6 0.8 X X 0- 0 0.2 0.4 0.6 0.8 1 0 0.2 0.4 0.6 0.8 1 1.2 1 1.2 1.2 (b) The probability is (Simplify your answer.) (c) The probability is (Simplify your answer.)
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