Find the mean, variance, and standard deviation of the following probability distributions. Answer any additional follow-up questions. 4. The following represents the number of pizzas delivered each day, A manager stated that 45 pizzas were delivered in one day. Is this a believable claim? (Use a statistical measurement that takes both the mean and standard deviation into consideration. X 35 36 37 38 39 P (X) 0.1 0.2 0.3 0.3 0.1 H 5. A bank manager claims that each customer has, on average, two credit cards. The following probability distribution represents the number of credit cards people own. Is the manager's claim correct? (Use a statistical measurement that takes both the mean and standard deviation into consideration!) X O 3 4 P (X) 0.18 0.44 0.27 0.08 0.03