A state-wide math test consists of 50 True/False questions and 40 multiple choice questions with 5..1 answer below »

A state-wide math test consists of 50 True/False questions and 40 multiple choice questions with 5 answer options. The total score (TS) is equal to the number of true/false items correct plus twice the number of multiple-choice items correct. 4. For students who are randomly guessing, the distribution of scores on the 50 True/False questions is a binomial distribution with probability of success equal to 0.50. If we define the random variable T- score from T/F items, what are the mean and standard deviation of T for students who are guessing? a) e mean of Toasad te 672 webete for For students who are randomly guessing, the distribution of scores on the 40 multiple shoice questions is a binomial distribution with probubility of success equal to 0.202 If we define the random variable Mscore from multiple choice items, what are the mean and standard deviation of M for students who are guessing? b) n,40. /UM-ne-Ho-o.20-8.// of M is hot 5 The total score, TS, is a random variable formed by calculating T+2M. U your results from parts (a) and (b),find the mean and standard deviation of the random variable TS. c) sing s85+ 3.8 617 6.17 d) For students who randomly guess on the multiple choice part of the test, what is the probability that the first question correct is the 4th question? Geometnc he probebility that te first est i about o,10 : 0102 673

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