A random variable X has the probability-density function Express the following probabilities in terms of the Q-function

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A random variable X has the probability-density function

e-(x-10)²/50 fx(x) = Ξ V50π

Express the following probabilities in terms of the Q-function and calculate numerical answers for each:

(a) P(IXI ‰¤ 15);

(b) P(10 < X ‰¤ 20);

(c) P(5 < X ‰¤ 25);

(d) P(20 < X ‰¤ 30).

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