It has been estimated that about 40% of frozen chickens are contaminated with enough salmonella bacteria to cause illness if improperly cooked. Chickens are delivered to grocery stores in crates of 24. Assume the chickens are independently selected for inclusion in the crate. Let X = the number of chickens in a randomly selected crate of 24 chickens that are contaminated with salmonella bacteria.

3.) Explain why X is a Binomial random variable (in context).

4.) Calculate the mean and S. D. of X.

5.) Interpret the value of the S. D. from #4 in context.

6.) Find the probability that X = 10.