A recent survey of post-secondary education students in Canada revealed that 74% are confident in their ability to manage their finances. You are to randomly pick 30 post-secondary education students across the country, and ask each the following question:

Are you confident in your ability to manage your finances?

You have defined the random variable X to represent the number, out of 30 post-secondary students chosen, who respond YES. (a) What is the probability that 22 of these post-secondary students respond YES? P(X=22)= (use four decimals in your answer) (b) What is the probability that between 15 and 19 of these students will respond YES? P(15X19)= (use four decimals in your answer) (c) How many of the 30 post-secondary students would you expect to respond YES? Find the standard deviation as well. E(X)= 22.20 (use two decimals in your answer) SD(X)= (use two decimals in your answer)