# Question: The mean of a normal probability distribution is 400 pounds

The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds.

a. What is the area between 415 pounds and the mean of 400 pounds?

b. What is the area between the mean and 395 pounds?

c. What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds?

a. What is the area between 415 pounds and the mean of 400 pounds?

b. What is the area between the mean and 395 pounds?

c. What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds?

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

A normal distribution has a mean of 50 and a standard deviation of 4.a. Compute the probability of a value between 44.0 and 55.0.b. Compute the probability of a value greater than 55.0.c. Compute the probability of a value ...Among U.S. cities with a population of more than 250,000, the mean one-way commute time to work is 24.3 minutes. The longest one-way travel time is in New York City, where the mean time is 38.3 minutes. Assume the ...A recent issue of Bride Magazine suggested that couples planning their wedding should expect two-thirds of those who are sent an invitation to respond that they will attend. Rich and Stacy are planning to be married later ...The time patrons at the Grande Dunes Hotel in the Bahamas spend waiting for an elevator follows a uniform distribution between 0 and 3.5 minutes.a. Show that the area under the curve is 1.00.b. How long does the typical ...Fast Service Truck Lines uses the Ford Super Duty F-750 exclusively. Management made a study of the maintenance costs and determined the number of miles traveled during the year followed the normal distribution. The mean of ...Post your question