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2. A multiple-choice quiz has 15 question, each with 5 possible answers of which only one is the correct answer. What is the probability that sheer guesswork yields a) from 5 to 10 correct answers? b) Exactly 2 correct answers? c) From 3 to 4 correct answers? d) At least 5 correct answers? e) At most 3 correct answers? 3. The probability that a patient recovers from a delicate heart operation is 0.90. What is the probability that of the next 8 patients having this operations. a. Exactly 5 will survive? b. From 3 to 7 will survive? C. At most 4 will survive? d. At least 6 will survive? 4. A survey of the residents in a United States city showed that 20% preferred a white telephone over any other color. What is the probability that a. more than one-half of the next 20 telephones installed in the city will be white? b. At least 15 of the next 20 telephones installed in the city will be white? c. At most 10 of the next 20 telephones installed in the city will be white? 5. A baseball player's batting average is 0.30. What is the probability that in his next 7 times at bat he gets, a. Exactly 2 hits? b. From 3 to 4 hits? c. At least 5 hits? d. At most 3 hits? 6. In a survey, 30% of the people interviewed said they bought most of their clothes during the last three months of the year (October, November, and December). If nine people were selected at random, find the probability that exactly three of these people buy most of their clothes during these three months. 7. Find these probabilities for a sample of nine children if 60% of them had measles by the time they each 12 years old. a. At least four have had measles b. Exactly eight have had measles c. More than seven have had measles