# Question

A real estate agent is interested in the relationship between the number of lines in a newspaper advertisement for an apartment and the volume of inquiries from potential renters. Let volume of inquiries be denoted by the random variable X, with the value 0 for little interest, 1 for moderate interest, and 2 for strong interest. The real estate agent used historical records to compute the joint probability distribution shown in the accompanying table.

a. Find the joint cumulative probability at X = 1, Y = 4, and interpret your result.

b. Find and interpret the conditional probability distribution for Y, given X = 0.

c. Find and interpret the conditional probability distribution for X, given Y = 4.

d. Find and interpret the covariance between X and Y.

e. Are number of lines in the advertisement and volume of inquiries independent of one another?

a. Find the joint cumulative probability at X = 1, Y = 4, and interpret your result.

b. Find and interpret the conditional probability distribution for Y, given X = 0.

c. Find and interpret the conditional probability distribution for X, given Y = 4.

d. Find and interpret the covariance between X and Y.

e. Are number of lines in the advertisement and volume of inquiries independent of one another?

## Answer to relevant Questions

The accompanying table shows, for credit-card holders with one to three cards, the joint probabilities for number of cards owned (X) and number of credit purchases made in a week (Y). a. For a randomly chosen person from ...A company has 5 representatives covering large territories and 10 representatives covering smaller territories. The probability distributions for the numbers of orders received by each of these types of representatives in a ...A long-distance taxi service owns four vehicles. These are of different ages and have different repair records. The probabilities that, on any given day, each vehicle will be available for use are 0.95, 0.90, 0.90, and ...A company has two assembly lines, each of which stalls an average of 2.4 times per week according to a Poisson distribution. Assume that the performances of these assembly lines are independent of one another. What is the ...The profit for a production process is equal to $2,000 minus two times the number of units produced. The mean and variance for the number of units produced are 500 and 900, respectively. Find the mean and variance of the ...Post your question

0