Question: The probability density function of a random variable X is defined by Find the following probabilities. (a) P(X 12) (b) P(X 31/2) (c)

The probability density function of a random variable X is defined byf(x): = 1 10 for x in [10, 20].

Find the following probabilities.

(a) P(X ≤ 12) 

(b) P(X ≥ 31/2)
(c) P(10.8 ≤ X ≤ 16.2)

f(x): = 1 10 for x in [10, 20].

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