16. Your statistics instructor administers a test having five multiple-choice items with four options each. List the

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16. Your statistics instructor administers a test having five multiple-choice items with four options each. List the ways in which one can guess correctly on exactly four items on this test. What is the probability of:

(a) guessing correctly on any one of the five items?

(b) guessing incorrectly on any one of the five items?

(c) guessing correctly on the first four items and guessing incorrectly on the fifth item?

(d) obtaining a score of exactly four correct by randomly guessing on each item?

(e) randomly guessing and obtaining a perfect score on the test?

(f) obtaining at least four correct by randomly guessing?

(g) missing all five items through random guessing?

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