A recent survey of post-secondary education students in Canada revealed that 72% are confident in their ability to manage their finances. You are to randomly pick 32 post-secondary education students across the country, and ask each the following question: Are you confident in your ablity to manage your finances? You have defined the random variable X to represent the number, out of 32 post-secondary students chosen, who respond YES. (a) What is the probability that 23 of these post-secondary students respond YES? Р(X - 23) (use four decimals in your answer) (b) What is the probability that between 15 and 19 of these students will respond YES? P(15 sXS 19) (use four decimals in your answer) (c) How many of the 32 post-secondary students would you expect to respond YES? Find the standard deviation as well. E(X) = Ax= (use two decimals in your answer) SD(X) = ox= I (use two decimals in your answer) (d) What can you say about the distribution of the X? Select the most appropriate answer. OA. The distribution of X-values is skewed to the right. OB. The distribution of X-values is approximately symmetrical. C. The distribution of X-values is unknown. OD. The distribution of X-values is skewed to the left.