Question: Uniform probabilities. Let Y be a random number between 0 and 1 produced by the idealized uniform random number generator with density curve pictured in

Uniform probabilities. Let Y be a random number between 0 and 1 produced by the idealized uniform random number generator with density curve pictured in Figure 4.12. Find the following probabilities:

(a) P(0 ≤ Y ≤ 0.4)

(b) P(0.4 ≤ Y ≤ 1)

(c) P(0.3 ≤ Y ≤ 0.5)

(d) P(0.3 < Y < 0.5)

(e) P(0.226 ≤ Y ≤ 0.713)

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