The fuel efficiency in miles per gallon of all bmw 320i's is (approximately) normally distributed with a mean of 25 and a standard deviation of 2. a dealer receives a shipment of a random sample of 320i's (random with respect to m. p.g., that is) from the factory. find the probability that average fuel efficiency for this shipment is less than 24 miles per gallon if the dealer receives (i) one car, (ii) four cars and (iii) sixteen cars. explain briefly why these three answers differ.

Matteo makes raspberry punch. the table shows how many parts ginger ale and raspberry juice to use for a batch. raspberry punch parts ginger ale 2 parts raspberry juice 3 matteo decides to add one part of raspberry juice. what is the new ratio of ginger ale to raspberry juice?

Use properties to rewrite the given equation. which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."