Question: Given that x is a Normal random variable with a mean of 10 and standard deviation of 4, find the following probabilities: ( 8 points

  1. Given that x is a Normal random variable with a mean of 10 and standard deviation of 4, find the following probabilities: (8 points)
  2. P(x
  3. P(x>11.5)
  4. P(8.9
  5. Given that x is a Normal random variable with a mean of 10 and standard deviation of 4, find x for each situation: (8 points)
  6. the area to the left of x is 0.1
  7. the area to the left of x is 0.75
  8. the area to the right of x is 0.35
  9. the area to the right of x is 0.95

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