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Q60Section C (Section C)60 of 60

Probability exactly two normals below threshold

Let X1∼N(2,1),X2∼N(−1,4)X_1 \sim N(2, 1), X_2 \sim N(-1, 4) and X3∼N(0,1)X_3 \sim N(0, 1) be mutually independent random variables. Then, the probability that exactly two of these three random variables are less than 11, equals __________ (round off to two decimal places)

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