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Let U Unif(0, 8). (a) Find P(U 2 (0, 2) [ (3, 7)) without using calculus. (b) Find the

Chapter 5, Problem 10

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QUESTION:

Let U Unif(0, 8). (a) Find P(U 2 (0, 2) [ (3, 7)) without using calculus. (b) Find the conditional distribution of U given U 2 (3, 7).

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QUESTION:

Let U Unif(0, 8). (a) Find P(U 2 (0, 2) [ (3, 7)) without using calculus. (b) Find the conditional distribution of U given U 2 (3, 7).

ANSWER:

Step 1 of 3

Given .

According to the symmetry of the uniform distribution, we can have,

To find .

Now,

Thus, the value of is .

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