Help with stats

Given the below probability mass function, find the cumulative distribution function (CDF). NO WORK IS REQUIRED For the intervals, enter your value using inequalities. The variable should be listed as a (lower case). PMF: x-value Probability 7 0.1 9 0.45 13 0.45 CDF: Value Interval (write as an inequality) if if F() = if if Note: When writing your piecewise function, start with the left-most interval.Consider the following two independent random variables, X and Y . Random variable X has a mean of 28 and a variance of 100. Random variable Y has a mean of 13 and a variance of 1s. Find the mean, variance, and standard deviation for the following linear combination of X and Y. Give your answer to at least three decimal places. X sv _ Mean: '. l Variance: I ' Standard Deviation: I. ' If X and 1' were not independent, describe in 1-3 sentences how would this change your above answers, and why. Make sure to address both the mean and variance from the above computations. W0 RK REQUIRED Suppose there are 14 items in a lot. 3 are defective and 11 are nonvdefective. 5 are inspected. Find the following. rounded to 4 decimals. Using the hypergeonietric distribution, a} Find the probability that all of those chosen are nonvdefectiire. | b} Find the probability that at least 1 is defective. I Showing work is REQUIRED