18.44 Chapter Notes - Chapter 6: Mit Opencourseware
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18. 440 problem set six due april 4: from textbook chapter five, problem 23: one thousand independent rolls of a fair die will be made. Compute an approximation to the probability that the number 6 will appear between 150 and 200 times inclusively. If the number 6 appears exactly 200 times, nd the probability that the number 5 will appear less than 150 times: problem 27: in 10,000 independent tosses of a coin, the coin lands on heads 5800 times. Explain: problem 32: the time (in hours) required to repair a machine is an exponentially distributed random variable with parameter = 1/2. 0: theoretical exercise 21: show that (1/2) = . (1/2) = then relate the resulting expression to the normal distribution. Make the change of variables y = 2x and: theoretical exercise 29: let x be a continuous random variable having cumulative distribution function f . De ne the random variable y by y = f (x).
