Random numbers Let X be a number between 0 and 1 produced by a random number generator

Chapter 6, Problem 21

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QUESTION:

Random numbers Let X be a number between 0 and 1 produced by a random number generator. Assuming that the random variable X has a uniform distribution, find the following probabilities: (a) P(X > 0.49) (b) P(X 0.49) (c) P(0.19 X < 0.37 or 0.84 < X 1.27)

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QUESTION:

Random numbers Let X be a number between 0 and 1 produced by a random number generator. Assuming that the random variable X has a uniform distribution, find the following probabilities: (a) P(X > 0.49) (b) P(X 0.49) (c) P(0.19 X < 0.37 or 0.84 < X 1.27)

ANSWER:

Step 1 of 5

Given,

X = number between 0 and 1 produced by a random number generator.

Let’s  find the following probabilities assuming that the random variable X has a uniform distribution:

 

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