1.A local electronics retailer recently conducted a study on purchasers of large screen televisions. The study recorded the type of television and the credit account balance of the customer at the time of purchase. They obtained the following results.

Credit Balance Standard TV LCD Plasma Projection

Under $200 11 11 38 3

$200-$800 7 8 21 12

Over $800 14 12 13 30

Construct a totals row and column for the table (as I did in several videos).Then answer the following questions:

a.What is the probability of a customer having a credit balance of less than $200 (5 pts.)

b.What is the probability of randomly selecting a customer who purchased a Standard TVandhad a credit balance of under $200?

c.What is the probability of randomly selecting a customer who purchased an LCDorPlasma TV?

d.What is the probability of randomly selecting a customer who purchased a Plasma TV?

e.What is the probability of randomly choosing a customer who purchased a Plasma TVgiven thatthey had a credit balance of more than $800?

f.Are the two variables shown in this table, credit balance and type of TV purchased, statistically independent?Please provide a mathematical justification for your answer.