Pets. According to Australian Companion Animal Council Inc,

a publication of the This publication of Animal Health Alliance of Australia (AHAA) reveals that roughly 63% of Australians households own one or more pets. 6 Australian households are selected at random.

Use Table XI in Appendix A to solve the following problems.

a. Find the probability that, of the six households sampled, the number that own one or more pets is exactly two; at least two; at most two.

b. Find the probability distribution of the random variable X, the number of Australian households in a random sample of six that own one or more pets.

c. Without referring to the probability distribution obtained in part

(b) or constructing a probability histogram, decide whether the probability distribution is right skewed, symmetric, or left skewed.

Explain your answer.