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The random-number generator on calculators randomly generates a number between 0

ID: 3239787 • Letter: T

Question

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 0.8 and 0.94? (c) What is the probability of generating a number greater than 0.93? (a) choose the correct graph of the uniform density function below. (b) The probability is (Simplify your answer.) (c) The probability is (Simplify your answer.)

Explanation / Answer

A) the correct Graph is Option-B

B) P(0.8 < X < 0.94) = (0.94 - 0.8) / (1 - 0)

= 0.14

C) P(X > 0.93) = (1 - 0.93) / (1 - 0)

= 0.07

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