## 4.15 Problems

### Section 4.3 Binomial Distribution

4.1 Suppose four dice are tossed. What is the probability that at most one 6 appears?

4.2 An equipment consists of 9 components, each of which will independently fail with a probability of p. If the equipment is able to function properly when at least 6 of the components are operational, what is the probability that it is functioning properly?

4.3 A fair coin is tossed three times. Let the random variable X denote the number of heads that turn up. Determine the mean and variance of X.

4.4 A certain student is known to be late to the Signals and Systems class 30% of the time. If the class meets four times a week, find

a. the probability that the student is late for at least three classes in a given ...

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