1. Copykwik has four photocopy machines: A , B , C , and D . The probability tha

Question

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

P(A) =

    P(B) =

    P(C) =

    P(D) =

Assuming independence, what is the probability on a particular day that the following will occur?

(a) All four machines will break down (Round your answer to ten decimal places.)


(b) None of the machines will break down (Round your answer to three decimal places.)

32. The Department of Foreign Languages of a liberal arts college conducted a survey of its recent graduates to determine the foreign language courses they had taken while undergraduates at the college. Of the 530 graduates

(a) How many of the graduates had at least 1 yr of at least one of the three languages?
graduates

(b) How many of the graduates had at least 1 yr of exactly one of the three languages?
graduates

(c) How many of the graduates had less than 1 yr of any of the three languages?
graduates

3.Jacobs & Johnson, an accounting firm, employs 15 accountants, of whom 9 are CPAs. If a delegation of 3 accountants is randomly selected from the firm to attend a conference, what is the probability that 3 CPAs will be selected? (Round your answer to three decimal places.)

4.A pharmacist wishes to select three brands of aspirin to sell in his store. He has five major brands to choose from: A, B, C, D and E. If he selects the three brands at random, what is the probability that he will select the following?

(a)

brand B

(b)

brands B and C

(c)

at least one of the two brands B and C

Explanation / Answer

1(a)

Since machines are independent so the probability that all machines will breakdown is

P(all down) = P(A)P(B)P(C)P(D) = (1/47) * (1/64) * (1/70) * (1/37) = 0.0000001284

(b)

The probability that none of machine will break down is

P(none break down) =[1-P(A)][1-P(B)][1-P(C)][1-P(D)] = [1-(1/47)] *[1- (1/64)] * [1-(1/70)] *[1- (1/37)] = 0.924

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