C). Suppose that A and B are independent events. If P(A) = 9 10 and P(B) = 7 10

ID: 3350203 • Letter: C

Question

C). Suppose that A and B are independent events. If P(A) = 910 and P(B) = 710 , find P(A B).

a) 0.07

b) 0.16

c) 1.00

d) 0.09

e) 0.63

f) None of the above.

Quality Control: A company has four photocopy machines A, B, C and D. The probability that a given machine will break down on a particular day is

P(A) = 13100

P(B) = 19100

P(C) = 15

P(D) = 325

Assuming independence, what is the probability on a particular day that all machines will break down?

a) 0.00059280

b) 0.16869096

c) 0.01000000

d) 0.00000247

e) 0.00168691

f) None of the above.

C) If A and B are independent events then:

P(A B) = P(A)*P(B) = (9/10)*(7/10) = 0.63

Option E is correct.

Quality control: Assuming independence:

P(All machines will break down on a particular day)

= (13/100)*(19/100)*(1/5)*(3/25)

= 0.00059280

Option A is correct.

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