# Question: A real estate agent is interested in the relationship between

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?

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