Calculate the mean and standard deviation of the discrete probability distribution (round to 3 decimal places when necessary): 10 20 40 5 0.09 15 0.11 25 0.12 30 0.12 35 0.1 0.11 P(x) 0.1 0.14 0.11 Mean: Standard Deviation: > Question 3 of 10 Analyze the scenario and complete the following: 1. Complete the discrete probability distribution for the given variable. ii. Calculate the expected value and variance of the discrete probability distribution The value of a ticket in a small hospital lottery, in which 2,000 tickets are sold, with 1 grand prize of $2,500, 10 first prizes of $200, 20 second prizes of $125, and 65 third prizes of $30. i. 1 Question 3 of 10 0 30 125 200 2,500 P (*) Round probabilities to 4 decimal places E(X)= Round to 2 decimal places Var (X) = k - Question 4 of 10 i. Complete the discrete probability distribution for the given variable. ii. Calculate the expected value and variance of the discrete probability distribution Out of 14 nurse practitioners who are on call on a given day, 4 are sick. If two on-call nurse practitioners are called in based on a random selection, determine the probability distribution for the number of sick nurse practitioners who are called in. i. 2 X 0 PO) > + TAGNIT Question 4 of 10 Round probabilities to decimal places ii. E(X)= Round to 2 decimal places Var (X) = Round to 2 decimal places >