# Probability calculation based on Normal random variable.

Given a normal distribution with ? = 100 and ? = 10, what is the probability that:

a. X > 75?

b. X < 70?

c. X > 112?

d. 75 < X < 85?

e. X < 80 or X > 110?

f. 10% of the values are less than what X value?

g. 80% of the values are between what two X values (symmetrically distributed around the mean)?

h. 70% of the values will be above what X value?

https://brainmass.com/statistics/probability/probability-calculation-based-on-normal-random-variable-111799

#### Solution Summary

The solution gives the details of calculation of probability of a random variable in different intervals.

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