Let the random variable x follow a normal distribution

Assignment Help Business Economics

Reference no: EM13892033

Let the random variable X follow a normal distribution with U(mu) = 50 and S2 = 64.

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

b. Find the probability that X is greater than 35 and less than 62.

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

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?

Reference no: EM13892033

Questions Cloud

Find the mean and variance of the random variable : A random variable X is normally distributed with a mean of 100 and a variance of 500, and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables have a correlation coefficient equal to -0.5. Find th..

What proportion of corporations was rate of return negative : An investment portfolio contains stocks of a large number of corporations. Over the last year the rates of return on these corporate stocks followed a normal distribution with mean 12.2% and standard deviation 7.2%. For what proportion of these corpo..

Amounts of money spent on clothing : 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. What is the probability that a randomly chosen student will spend less ..

Measured by forgone benefits of the next-best alternative : Opportunity cost is associated with choosing a particular decision that is measured by the forgone benefits of the next-best alternative. What example would you pose to explain this?

Let the random variable x follow a normal distribution : Let the random variable X follow a normal distribution with U(mu) = 50 and S2 = 64. Find the probability that X is less than 55. The probability is 0.2 that X is greater than what number?

Calculate your annual rate of return : Your cousin Jeremy has asked you to bankroll his proposed business painting houses in the summer. He plans to operate the business for 5 years to pay his way through college. He needs $5000 to purchase an old pickup, some ladders, a paint sprayer, an..

The multiplier effect of change in government purchases : The multiplier effect of a change in government purchases. Suppose the government in this economy decides to decrease government purchases by $250 billion. The decrease in government purchases will lead to a decrease in income, generating an initial ..

Baseball team and local stadium has commissioned study : The owner of a baseball team and local stadium has commissioned a study that showed the demand by fans for stadium seats (per playing date) to be P = 22 - 0.2Q, where P is the average price of a ticket and Q represents the number of seats (expressed ..

Long-run real interest rates are expected to increase : Long-run real interest rates are expected to increase. An accountant and an MBA student (who just finished his course of Managerial Economics) where interviewed regarding the effect on the firm they both work at. Keeping all else constant, their answ..

User Account

All Pages