1. (18 pts) It is estimated that the probability for Lilly to pass the driving test is 70%. Let us use variable X to den
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1. (18 pts) It is estimated that the probability for Lilly to pass the driving test is 70%. Let us use variable X to den
1. (18 pts) It is estimated that the probability for Lilly to pass the driving test is 70%. Let us use variable X to denote Lilly's driving test result, which can be only pass X=1 or fail X=0. (1) Please write out the probability mass function p(x), and CDF F(x). And plot F(x). (10 pts) (2) What distribution family is best to describe the variable X? (2 pts) (3) Assume that a random number R is generated as 0.6, please use inverse transform method to calculate the related value of X. (2 pts) (4) Assume that a random number R is generated as 0.7, please use inverse transform method to calculate the related value of X. (2 pts) (5) Assume that a random number R is generated as 0.9, please use inverse transform method to calculate the related value of X. (2 pts)
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