Beth’s Bread and Pastry Shop determines the number of cupcakes sold per day with its corresponding probabilities. Find the mean, variance, and standard deviation of the probability distribution below....

Beth’s Bread and Pastry Shop determines the number of cupcakes sold per day with its corresponding probabilities. Find the mean, variance, and standard deviation of the probability distribution below. If Beth, the owner of the shop is claiming that the average number of cupcakes sold in a day is 150 pieces, do you think it is a believable claim? NO. OF CUPCAKES SOLD PER DAY (x) 90 120 135 150 160 175 PROBABILITY OF P(X) 0.15 0.1 0.2 0.2 0.2 0.15