1. Consider the following Binomial Experiment: The probability that a cell phone

Question

1. Consider the following Binomial Experiment: The probability that a cell phone manufactured at Electronics Unlimited is defective is 0.13. If a sample of 6 cell phones is selected at random, what is the probability that at least one is defective?

a) 0.5016

b) 0.4336

c) 0.4984

d) 0.3773

e) 0.5664

f) None of the above.

2. Consider the following binomial experiment: A company owns 4 copiers. The probability that on a given day any one copier will break down is 0.58. What is the probability that at least 2 copiers will break down on a given day?

a) 0.5512

b) 0.0187

c) 0.4231

d) 0.7970

e) 0.6838

f) None of the above.

Explanation / Answer

1) option (e)

P(at least one will be defective ) = 1- P(none will be defective)

                                              = 1- (1-0.13)6   = 1 - 0.876 = 1 - 0.43362 = 0.56637 = 0.5664(approx)

2) option (d)

P(X 2) =P(X = 2) +P(X =3) +P(X =4)

           = 0.35604 + 0.32778 + 0.11316 = 0.79698 = 0.7970

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