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8. For the binomial experiment of tossing a fair coin 100 times, use the normal distribution to approximate the probab1lity that: (a) The coln lands heads between 60 and 70 inclusive. (a) (b) The coin lands tails between 40 and 60 inclusive. (b) \( \begin{array}{lll}\text { (c) The coin lands heads exactly } 71 \text { times. } & \text { (c) } \\ \text { (d) }\end{array} \) (d) The coin lands heads less than 40 or more than 60 , (d) 9. The probability that a new color T.V. pleture tube lasts one year is \( 90 x \), that is the probability that between 170 and 190 of the next 200 tubes sold last one year? 10. A multiple choice test consist of 200 questlons, each with five possible answers. If a student must answer at least 60 questions correctly in order to pass, what is the probability that he passes the test? (Assume he guesses at all the answers). 11. It has been established that 5 percent of the fully assembled radios from a certain factory are defective. If 200 radios are tested, determine the following probab 11 ties: (a) That less than 15 are defective. (b) That more than 20 are defective. (a) (c) That between 10 and 20 are defective. (b)

Note: Only one question is allowed per space, so we have solved the first question for you with required details. Let H be the count of heads in the b

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