Probability Rules show work for full credit all steps. Quote the formulas in use

Question

Probability Rules show work for full credit all steps. Quote the formulas in use. Round all answers to the third significant digit (that is, for instance, 0.00103496 0.00104 Answers are worth 12points each unless stated differently 1. According to the Statistical Abstract ofthe United States, about 17% of all 18. to 25- year-olds are current marijuana users. (a) What is the probability that a randomly selected 18- to 25-year-old is a marihuana user? (b) What is the probability that four randomly selected 18- to 25 yeatods are all marijuana (c) What is the probability that among four randomly selected 18-to 25-year-olds NONE is a marijuana user? (d) What is the probability that among four randomly selected 18- to 25-year-olds at least one is a marijuana user? (e) What assumption did you have to make in order co the probabilities above?

Explanation / Answer

a) probabilty =0.17

b) probabilty =(0.17)4 =0.000835

c) probabilty =(1-0.17)4 =0.474583

d)probability =1-none ismarijuana user =1-0.474583=0.525417

e)that probabilty of a person to be marijuana user is independent of othert

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