umber of days. An analysis of company sales of $800$ homes in previous years

oduced the following data.

Initial Asking Price

Days Listed Until Sold

a$.$ If $A$ is defined as the event that a home is listed for more than $90$ days

before being sold, estimate the probability of $A.$

b$.$ If $B$ is defined as the event that the initial asking price is under $$150,000,$

estimate the probability of $B.$

c$.$ What is the probability of $AB?$

d$.$ Assuming that a contract was just signed to list a home with an initial

asking price of less than $$150,000,$ what is the probability that the home

will take Cooper Realty more than $90$ days to sell?

e$.$ Are events A and $B$ independent?