In a market research survey of 2905 motorists, 256 said they made an obscene ges

Question

In a market research survey of 2905 motorists, 256 said they made an obscene gesture in the previous month. A. If 1 of the surveyed motorists is randomly selected, what is the probability that this motorist didn't make an obscene gesture the previous month? B. If 50 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? In a market research survey of 2905 motorists, 256 said they made an obscene gesture in the previous month. A. If 1 of the surveyed motorists is randomly selected, what is the probability that this motorist didn't make an obscene gesture the previous month? B. If 50 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? A. If 1 of the surveyed motorists is randomly selected, what is the probability that this motorist didn't make an obscene gesture the previous month? B. If 50 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?

Explanation / Answer

a) probability that this motorist didn't make an obscene gesture the previous month =1-256/2905=0.9119

B)yes 5% guideline is applied in this case ; as sample size is less then 5% of population size

probabilty that none of them made an obscene gesture in the previous month =(0.9119)50 =0.0099

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