In August 2009, David and Maria conducted a survey for Fortune magazine to examine CEO's attitudes toward employee's personal problems. 40% of the CEOs interviewed felt that personal problems were none of the company's business. Assume that this result is true for the current population of CEOs. Using the binomial probability distribution tables with a random samples of 15.

Write the distribution of X.

(a)Calculate the probability that the number of CEOs who hold this view is 10

(b)Calculate the probability that the number of CEOs who hold this view is at most 7.

(c)Calculate the mean and standard deviation of binomial distribution X.