A test consists of 25 multiple-choice questions. Assume that a test taker random

Question

A test consists of 25 multiple-choice questions. Assume that a test taker randomly guesses a choice for each and every question. Clearly state what probability model(s)you use and what value each parameter is equal to. If each and every question has 3 choices (one correct, two incorrect), what is the probability that the test taker will get a B or better(i.e. 80 points or higher)?. If fifteen questions has three choices each(one correct, two incorrect) and ten has two choice each (one correct, one incorrect),what is the probability that the test taker will get a B or better?. Use the student height data in the EXCEL file ProjectData-StudentsHeightUSF to do the following. Construct a histogram. Do the data have a frequency distribution that looks like a normal probability density function?.

Explanation / Answer

1 (10 points). If each and every question has 3 choices (one correct, two incorrect), what is the probability that the test taker will get a B or better (i.e., 80 points or higher)? Binomial Problem with n = 25 ; p(correct) = 1/3 ; p(incorrect) = 2/3 ------ Note: 80% of 25 = 20 P(x >- 20) = 1 - binomcdf(25,1/3,19) = 0.000002269 -------------------------------------------------- 2 (10 points). If fifteen questions has three choices each (one correct, two incorrect) and ten has two choices each (one correct, one incorrect), what is the probability that the test taker will get a B or better? ---- Need 20 correct out of 25 ; same as miss 5 or less out of 25 ---- P(x

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