Assume that x has a normal distribution, with the specified meanand standard deviation. Find the indicated probabilities.

6)P(40 less than or equal to x less than or equal to 47); u = 50; o = 15

10) P( x greater than or equal to 2); u = 3; o = 0.25

Find the z value described and sketch the area described.

14) find z such that 97.5% of the standard normal curve lies to the left of z.

18) find z such that 95% of the standard normal curve lies to the right of z.

The solution shows how to calculate the probability of the normal distribution using z-score.