# Question: The random variable X has probability density function as follows a

The random variable X has probability density function as follows:

a. Graph the probability density function for X.

b. Show that the density has the properties of a proper probability density function.

c. Find the probability that X takes a value between 0.5 and 1.5.

a. Graph the probability density function for X.

b. Show that the density has the properties of a proper probability density function.

c. Find the probability that X takes a value between 0.5 and 1.5.

## Answer to relevant Questions

At the beginning of winter, a homeowner estimates that the probability is 0.4 that his total heating bill for the three winter months will be less than $380. He also estimates that the probability is 0.6 that the total bill ...Grade point averages of students on a large campus follow a normal distribution with a mean of 2.6 and a standard deviation of 0.5. a. One student is chosen at random from this campus. What is the probability that this ...A market research organization has found that 40% of all supermarket shoppers refuse to cooperate when questioned by its pollsters. If 1,000 shoppers are approached, what is the probability that fewer than 500 will refuse to ...Financial Managers, Inc., buys and sells a large number of stocks routinely for the various accounts that it manages. Portfolio manager Sarah Bloom has asked for your assistance in the analysis of the Burde Fund. A portion ...Assume that the standard deviation of monthly rents paid by students in a particular town is $40. A random sample of 100 students was taken to estimate the mean monthly rent paid by the whole student population. a. What is ...Post your question