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

Let the random variable X follow a normal distribution with μ = 80 and σ2 = 100.

a. Find the probability that X is greater than 60.

b. Find the probability that X is greater than 72 and less than 82.

c. Find the probability that X is less than 55.

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

e. The probability is 0.6826 that X is in the symmetric interval about the mean between which two numbers?

a. Find the probability that X is greater than 60.

b. Find the probability that X is greater than 72 and less than 82.

c. Find the probability that X is less than 55.

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

e. The probability is 0.6826 that X is in the symmetric interval about the mean between which two numbers?

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

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 ...Southwest Co-op produces bags of fertilizer, and it is concerned about impurity content. It is believed that the weights of impurities per bag are normally distributed with a mean of 12.2 grams and a standard deviation of ...A company services copiers. A review of its records shows that the time taken for a service call can be represented by a normal random variable with a mean of 75 minutes and a standard deviation of 20 minutes. a. What ...Given a random sample size of n = 400 from a binomial probability distribution with P = 0.20 do the following: a. Find the probability that the percentage of successes is greater than 0.25. b. Find the probability that the ...Given an arrival process with l = 8.0, what is the probability that an arrival occurs in the first t = 7 time units?Post your question