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1. It is believed that 20% of voters in a certain city favor a tax increase for improved schools. If this percentage is correct, what is the probability that in a sample of 250 voters 60 or more will favor the tax increase? (Use the normal approximation.)

2. The probabilities for a random variable having the Poisson distribution with μ = 1 is given in the following table.

978_probabilities for a random variable.png

Note: Probabilities for Y > 6 are very small and may be ignored.

(a) Compute the mean and variance of Y.

(b) According to theory, both the mean and the variance of the Poisson distribution are μ. Do the results in part (a) agree with the theory?

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