Unformatted text preview: 3. A random sample of 2400 people are asked if they favor a government proposal to develop new nuclear power plants. If 40% of the people in the country are in favor of this proposal, ﬁnd the expected value and the standard deviation for the number S 2400 of people in the sample who favor the proposal. 4. Let X be a random variable with E ( X ) = μ and V ar ( X ) = σ 2 . Deﬁne X * = X-μ σ . The random variable X * is called the standardized random variable associated with X . Show that this standardized random variable has expectation 0 and variance 1. From the textbook: pp 104 # 1, 2, 4, 6, 7, 8, 10, 11, 12, 14, 16. (Note that the textbook deﬁnes the geometric distribution as the distribution of “the number of failures before the ﬁrst success in a sequence of Bernoulli trials”.)...
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- Spring '11