Question

Binomial Probabilities

A multiple-choice quiz consists of n = 10 questions in the form True or False. Mary assumes that her comprehension level is p = 0.70, so that is the chance that she picks up a right answer. Let M denote a number of questions Mary answered correctly. Suppose that all TEN trials are independent.
Answer questions below using answers in the multiple-choice format. No calculation is required here. Just recognize the proper formula for each case.

1. A: (10) · (0.7) · (0.3)9

2. B: 1 − [(0.3)10 + (‘10) · (0.3)9 · (0.7)]

3. C: (10) · (0.7)9 + (0.7)10

4. D: (10) · (0.7)9 · (0.3)

5. E: 1 − [(10) · (0.7)9 + (0.7)10]

6. F: (0.3)10 + (10) · (0.3)9 · (0.7)

1. Probability that Mary has exactly NINE correct answers

2. Chance that Mary has at most ONE wrong answer

3. Probability that she correctly answers exactly ONE question

4. Chance that Mary has at most ONE correct answer

5. Probability that she has more than ONE question answered right

6. Chance that Mary has more than ONE wrong answer

Answer 1