Some statisticians investigated the accuracy of using ultrasound to test for a genetic marker of a medical condition. let d denote that the fetus has the genetic marker and n denote that the ultrasound test is normal. then, the statisticians desire the probability p(d|n). use bayes's rule and the following probabilities to find the desired probability.

Aschool typically sells 500 yearbooks each year for 50 dollars each. the economic calls does a project and discovers that they can sell 100 more yearbooks for every $5 decrease in price. the revenue for yearbook sales is equal to the number of yearbooks sold times the price of the yearbook. let x represent the number of $5 decrease in price. if the expression that represents the revenue is written in the form r(x)=(500+ax)(50-bx). to maximize profit, what price should the school charge for the yearbooks? what is the possible maximum revenue? if the school attains the maximum revenue, how many yearbooks will they sell?

The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams and standard deviation 161 grams. what is the probability that a randomly selected broiler weighs more than 1,425 grams?

Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.