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Mathematics · Studypool

Normal Distribution Probability and Problem Solving Questions

Overview

I don’t know how to handle this Mathematics question and need guidance.

Let the random variable X follow a normal distribution with μ=40 and σ2=49.

use the standard normal distribution table to solve

a.

Find the probability that X is greater than 50.

b.

Find the probability that X is greater than 20 and less than 53.

c.

Find the probability that X is less than 45.

d.

The probability is 0.1 that X is greater than what number?

e.

The probability is 0.03 that X is in the symmetric interval about the mean between which two numbers?