1.Suppose that a school district wants to start a program for gifted students.The participants in the program are to be chosen on the basis of IQ scores (normal with m = 100, s = 15).If the school district wants only the top 2% of students to participate in the program, what should be the IQ score that students must exceed to be accepted?

2.In problem #2, how much gasoline should the station have on hand at the beginning of the day so that the probability of running out of gas that day is only 1%?

3.10% of Americans are left handed.

(a)If 6 people are selected at random, what is the probability that more than 3 of them are left-handed?

(b)Suppose a group of 600 mathematicians get together for a conference.What is the probability that more than 80 of them are left-handed?(Use the normal approximation to the binomial)

4.Airlines sell more tickets for a flight than the number of available seats (overbooking).They do this because they know from past experience that only 90% of ticketed passengers actually show up for the flight.

(a)A plane has 6 seats.If the airline sells 8 tickets for a flight, what is the probability that the flight will be overbooked (the number of passengers who show up is greater than the number of available seats)?

(b)A plane has 325 seats.If the airline sells 350 tickets for a flight, what is the probability that the flight will be overbooked (the number of passengers who show up is greater than the number of available seats)?Use the normal approximation for this please.