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9. The principle of redundancy is used when system reliability is improved through redundant or backup...

9. The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a​ student's alarm clock has a 10.1​% daily failure rate. Complete parts​ (a) through​ (d) below.

c. What is the probability of not being awakened if the student uses three independent alarm​ clocks?

​(Round to five decimal places as​ needed.)

14.In a market research survey of 2006 ​motorists, 281 said that they made an obscene gesture in the previous month. Complete parts​ (a) and​ (b) below.

a.If 1 of the surveyed motorists is randomly​ selected, what is the probability that this motorist

did not make an obscene gesture in the previous​ month?

The probability is

​(Round to four decimal places as​ needed.)

B. If 45 of the surveyed motorists are randomly selected without​ replacement, what is the probability that none of them made an obscene gesture in the previous​ month? Should the​ 5% guideline be applied in this​ case? Select the correct choice below and fill in the answer box within your choice.

​(Round to four decimal places as​ needed.)

A. The probability is ______. The​ 5% guideline should be applied in this case.

B. The probability is ______. The​ 5% guideline should not be applied in this case.

15. A tire company produced a batch of 5,400 tires that includes exactly 220 that are defective.

a. If 4 tires are randomly selected for installation on a​ car, what is the probability that they are all​ good?

b. If 100 tires are randomly selected for shipment to an​ outlet, what is the probability that they are all​good? Should this outlet plan to deal with defective tires returned by​ consumers?

(Just answer these)

a. If 4 tires are randomly selected for installation on a​ car, what is the probability that they are all​ good?

(Round to three decimal places as​ needed.)

b. If 100 tires are randomly selected for shipment to an outlet what is the probability that they are all​good?

(Round to three decimal places as​ needed.)

Should this outlet plan to deal with defective tires returned by​ consumers?

No, because there is a very small chance that all 100 tires are good.

Yes, because there is a very small chance that all 100 tries are good

Yes, because there is a very large chance that all 100 tires are good

No, because there is a very large chance that all 100 tires are good.

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