Suppose you are playing a game. The random variable, Y, represents your net profit in dollars. The probability distribution of Y is as follows. (Round your answers to 4 decimal places, if needed.) y -3 -2 2 3 5 P (Y = y) 0.1 0.22 ? 0.16 0.15 a) What is the mean for net profit? b) What is the median for net profit? c) What is the standard deviation for net profit?The following results come from two independent random samples taken of two populations. Sample 1 Sample 2 ny = b0 ng = 3b z; = 13.6 Zp = 11.6 o, =22 o3 =3 a. What is the point estimate of the difference between the two population means? (to 1 decimal) 2 b. Provide a 90% confidence interval for the difference between the two population means (to 2 decimals). ( . ) c. Provide a 95% confidence interval for the difference between the two population means (to 2 decimals). ( . )