# Question

About 40% of new single-family homes completed in the United States during 2007 were heated with electricity. For a randomly selected sample of 20 new singlefamily homes completed during that year and the discrete random variable, x = the number of homes in this group heated with electricity:

a. Calculate the mean and standard deviation of the binomial distribution.

b. Using the binomial distribution tables, determine the probability that x will be exactly 8 homes heated with electricity.

c. Using the binomial distribution tables, determine the probability that x will be at least 6 but no more than 9 homes.

d. Repeat part (b), using the normal approximation to the binomial distribution.

e. Repeat part (c), using the normal approximation to the binomial distribution.

a. Calculate the mean and standard deviation of the binomial distribution.

b. Using the binomial distribution tables, determine the probability that x will be exactly 8 homes heated with electricity.

c. Using the binomial distribution tables, determine the probability that x will be at least 6 but no more than 9 homes.

d. Repeat part (b), using the normal approximation to the binomial distribution.

e. Repeat part (c), using the normal approximation to the binomial distribution.

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