In a sweepstakes sponsored by Gemini Paper Products, 125,000 entries have been r

Question

In a sweepstakes sponsored by Gemini Paper Products, 125,000 entries have been received. If 1 grand prize is drawn, and 4 first prizes, 20 second prizes, and 450 third prizes are to be awarded, what is the probability that a person who has submitted one entry will win the following?

(a) the grand prize (Round your answer to eight decimal places.)


(b) a prize (Round your answer to four decimal places.)

#11: The number of cars entering a tunnel leading to an airport in a major city over a period of 200 peak hours was observed, and the following data were obtained. Find the empirical probability distribution for this experiment. (Round your answers to three decimal places.)

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#12: According to a research company, during a certain year 82 million out of 182 million adults in the United States corrected their vision by using prescription eyeglasses, bifocals, or contact lenses. (Some respondents use more than one type.) What is the probability that an adult selected at random from the adult population uses corrective lenses? (Round your answer to three decimal places.)

#16 Let S = {s1, s2, s3, s4, s5} be the sample space associated with the experiment having the following probability distribution. (Enter your answers as fractions.)

(a) Find the probability of A = {s1, s3, s4}.


(b) Find the probability of B = {s1, s5}.


(c) Find the probability of C = S.

Number of
Cars, x Frequency of
Occurrence Probability 0 < x ? 200 14 ? 200 < x ? 400 22 ? 400 < x ? 600 38 ? 600 < x ? 800 74 ? 800 < x ? 1000    33 ? 1000 < x 19

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Explanation / Answer

(a)

Out of 125000 entries, 1 is grand prize so the probability of getting a grand prize is

P(grand prize) = 1 / 125000 =0.00000800

(b)

Total number of prizes: 1 + 4+20+450 = 475

So the probability of getting a prize is

P(prize) = 475 / 125000 = 0.0038

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