PBIS 189 Fall 2019 Second Quizl Name Alyssa Krays 1 A hotel has an elevator with a 3000 pound weight limit. It allows only 17 passengers on the elevator at one time. Weights of adult men in pounds X are normally distributed X~N(187, 39.2). What is the probability that the elevator is overloaded if 17 adult men ride on it at the same time? Pro 2 When someone buys a ticket for an airline flight the probability that they will not show up for the flight is .0995. Air France sells 273 tickets for a flight in which there are only 245 passenger seats. What is the usual number of ticketed passengers who show up for this flight? Probs ( ricket hold not showing up ) =. 0995 M - 2 + 0 3 Weights of quarters , in grams, are normally distributed ~N( 5.66, 0.062). A vending machine accepts quarters that weigh at least 5.55 grams and at most 5.75 grams. You have 188 quarters at home. You try each one of them in this vending machine. What is the probability that at least 12 of your coins are rejected by the vending machine? 4 Cesium 137 decays, with 1 million atoms decaying to 967,287 atoms in a year( 365 days). Find the probability that, on a given day, at least 91 Cesium 137 atoms decayed. 5 Assume women's heights are normally distributed. In inches women's heights have a mean of 63.4 inches, and standard deviation of 2.71 inches. The Tall Club's requirement is the top 4% in height for women. What is this requirement in inches