please answer this and put some solution here.This topic is a "Solving Problems Involving Mean and Variance of Probability Distribution"

Direction: Analyze the problem below. Then, find the mean, variance, and standard deviation of the probability distribution. Show your solution. The number of shirts sold per day at a thrift store is shown in the table, with the corresponding probabilities. Find the mean, variance, and standard deviation of the distribution. Number of shirts X sold, 19 20 21 22 23 Probability P(X) 0.2 0.2 0.3 0.2 0.1 If the manager of the retail store wants to be sure that he has enough suits for the next 5 days, how many should the manager purchase? The probabilities that a player will get 5 to 10 questions right on a trivia quiz are shown below. Find the mean, variance, and standard deviation for the distribution. X 5 6 7 8 9 10 P(X) 0.05 0.2 0.4 0.1 0.15 0.1 A pizza shop owner determines the number of pizzas that are delivered each day. Find the mean, variance, and standard deviation for the distribution shown. If the manager stated that 45 pizzas were delivered on one day, do you think that this is a believable claim? Number of deliveries X 35 36 37 38 39 Probability P(X) 0.1 0.2 0.3 0.3 0.1