The table gives a number of daily sales of cars by a local dealership, from a 0 minimum to a 6 maximum, and the number of days each sale happened during a 100 - day survey. That is. 0 cars were sold 6 days, 1 car 8 days, etc. Car sales per day, X 0 1 2 3 4 5 6
Number of days 6 8 22 20 15 16 13
A) Give the probability density function of X.
B) Compute the expected value of A". Explain its meaning.
C) Compute the variance and standard deviation of X.
D) Find the expected value and variance of a function Y = 5 + 12X.

Stocks a, b, and c are similar in some respects: each has an expected return of 10% and a standard deviation of 25%. stocks a and b have returns that are independent of one another; i.e., their correlation coefficient, r, equals zero. stocks a and c have returns that are negatively correlated with one another; i.e., r is less than 0. portfolio ab is a portfolio with half of its money invested in stock a and half in stock b. portfolio ac is a portfolio with half of its money invested in stock a and half invested in stock c. which of the following statements is correct? a. portfolio ab has a standard deviation that is greater than 25%.b. portfolio ac has an expected return that is less than 10%.c. portfolio ac has a standard deviation that is less than 25%.d. portfolio ab has a standard deviation that is equal to 25%.e. portfolio ac has an expected return that is greater than 25%.