Question

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

Answer 1