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Given that x is a Normal random variable with a mean of 10 and standard deviation...

  1. Given that x is a Normal random variable with a mean of 10 and standard deviation of 4, find the following probabilities:
    1. P(x<7.6)
    2. P(x>11.5)
    3. P(8.9<x<13.5)
  2. Given that x is a Normal random variable with a mean of 10 and standard deviation of 4, find x for each situation:
    1. the area to the left of x is 0.1
    2. the area to the left of x is 0.75
    3. the area to the right of x is 0.35
    4. the area to the right of x is 0.95

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