# Question: Let the random variable X follow a normal distribution with

Let the random variable X follow a normal distribution with μ = 0.2 and σ2 = 0.0025.

a. Find the probability that X is greater than 0.4.

b. Find the probability that X is greater than 0.15 and less than 0.28.

c. Find the probability that X is less than 0.10.

d. The probability is 0.2 that X is greater than what number?

e. The probability is 0.05 that X is in the symmetric interval about the mean between which two numbers?

a. Find the probability that X is greater than 0.4.

b. Find the probability that X is greater than 0.15 and less than 0.28.

c. Find the probability that X is less than 0.10.

d. The probability is 0.2 that X is greater than what number?

e. The probability is 0.05 that X is in the symmetric interval about the mean between which two numbers?

**View Solution:**## Answer to relevant Questions

It is known that amounts of money spent on clothing in a year by students on a particular campus follow a normal distribution with a mean of $380 and a standard deviation of $50. a. What is the probability that a randomly ...A contractor has concluded from his experience that the cost of building a luxury home is a normally distributed random variable with a mean of $500,000 and a standard deviation of $50,000. a. What is the probability that ...Scores on an achievement test are known to be normally distributed with a mean of 420 and a standard deviation of 80. a. For a randomly chosen person taking this test, what is the probability of a score between 400 and ...A car-rental company has determined that the probability a car will need service work in any given month is 0.2. The company has 900 cars. a. What is the probability that more than 200 cars will require service work in a ...Given an arrival process with l = 5.0, what is the probability that an arrival occurs after t = 7 time units?Post your question