According to the American Veterinary Medical Association (AVMA), 38.4% of households in the United States own a dog as a pet (AVMA website). Suppose that a company that sells dog food would like to establish a focus group to gather input on a new dog food marketing campaign. The company plans to contact 25 randomly selected households to invite people to join the focus group.

a. Compute the probability that 10 of these 25 households own a dog as a pet.

b. Compute the probability that 2 or fewer of these 25 households own a dog as a pet.

c. For the sample of 25 households, compute the expected number of households who own a dog as a pet.

d. For the sample of 25 households, compute the variance and standard deviation of households who own a dog as a pet.