4.30 A company produces two types of CDs, CD-R and CD-RW. The product CD-R constitutes 35%

of total production. About 5% of the company’s production is defective, of which 40% is CD-R.

Suppose a CD is selected at random from today’s production.

a Display these facts using a Venn diagram.

b What is the probability that the selected CD is defective?

c What is the probability that the selected CD is a CD-RW?

d What is the probability that a CD-R is selected given that a defective is the selected CD?
e Are the events “select CD-R” and “select a defective” independent? Justify your answer.
f What is the probability that a CD-RW is selected given that a defective is the selected CD?