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

Chapter 6, Problem 22

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QUESTION:

Random numbers Let Y be a number between 0 and 1 produced by a random number generator. Assuming that the random variable Y has a uniform distribution, find the following probabilities: (a) P(Y 0.4) (b) P(Y < 0.4) (c) P(0.1 < Y 0.15 or 0.77 Y < 0.88)

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QUESTION:

Random numbers Let Y be a number between 0 and 1 produced by a random number generator. Assuming that the random variable Y has a uniform distribution, find the following probabilities: (a) P(Y 0.4) (b) P(Y < 0.4) (c) P(0.1 < Y 0.15 or 0.77 Y < 0.88)

ANSWER:

Step 1 of 5

Given,

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

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

 

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