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Let X be a normally distributed random variable with mean 5. 1. If P(4 ≤ X...

Let X be a normally distributed random variable with mean 5.

1. If P(4 ≤ X ≤ 4.6) = .240, find P(5.4 ≤ X ≤ 6).

2. Suppose P(X ≤ k) = .5 for some number k. What is the value of k?

3. Suppose P(X ≤ .) = .841, for some mystery value .. Approximately how many standard deviations above or below the mean is the value .?

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