The diameter of a brand of tennis balls is approximately nor…

The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a standard deviation of 0.03 inch. If you select a random sample of nine tennis balls, what is the probability that the sample mean is less than 2.62 inches? 

Big Commerce launched a study to analyze modern, omnichannel…

Big Commerce launched a study to analyze modern, omnichannel consumer behavior. The data uncovers the details on how, when, where, and why Americans buy, educating the entire commerce industry on today’s consumer shopping preferences. Findings indicate that 35% of online shoppers shop online while in the office. Of those who shop online while in the office, 55% are male. Of those who do not shop online while in the office, 45% are male. Find the probability that if the online shopper is a male, the online shopper shops while in the office. Find the probability that the online shopper is a male.