# Question: A random variable X follows the continuous uniform distribution with

A random variable X follows the continuous uniform distribution with a lower limit of 10 and an upper limit of 30.

a. Calculate the mean and the standard deviation of the distribution.

b. What is the probability that X is greater than 22?

c. What is the probability that X is between 15 and 23?

a. Calculate the mean and the standard deviation of the distribution.

b. What is the probability that X is greater than 22?

c. What is the probability that X is between 15 and 23?

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

A random variable X follows the uniform distribution with a lower limit of 750 and an upper limit of 800. a. Calculate the mean and the standard deviation of this distribution. b. What is the probability that X is less than ...You have been informed that the assessor will visit your home sometime between 10: 00 am and 12: 00 pm. It is reasonable to assume that his visitation time is uniformly distributed over the specified two- hour interval. ...Assume that IQ scores follow a normal distribution with a mean of 100 and a standard deviation of 16. Use the empirical rule for normal distributions to answer the following questions. a. What percentage of people score ...The random variable X is normally distributed. Also, it is known that P(X>150) 5a. Find the population mean µ if the population standard deviation σ = 15.b. Find the population mean µ if the population standard deviation ...A packaging system ills boxes to an average weight of 18 ounces with a standard deviation of 0.2 ounce. It is reasonable to assume that the weights are normally distributed. Calculate the 1st, 2nd, and 3rd quartiles of the ...Post your question