Determine the probability-independent random variables


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Q: Let the random variables X and Y denote the lengths of two dimensionsof a machined part, respectively. Assume that X and Y are independent random variables,and further assume that the distribution of X is normal with mean 10.5 millimeters and variance 0.0025 (mm2 ) and thatthe distribution of Y is normal with mean 3.2 millimeters and variance 0.0036 (mm2 ). Determine the probability that10.4 < X < 10.6 and 3.15 < Y < 3.25.

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Basic Statistics: Determine the probability-independent random variables
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