question archive A continuous random variable X has a normal distribution with mean 50

A continuous random variable X has a normal distribution with mean 50

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A continuous random variable X has a normal distribution with mean 50.5. The probability that X takes a value less than 54 is 0.76. Use this information and the symmetry of the density function to find the probability that X takes a value greater than 47. Sketch the density curve with relevant regions shaded to illustrate the computation.

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