1. A researcherfound that 25% of teenage consumers receive their spending money from part time jobs. If 10 teenagers are selected at random, find the probability that 4 to 6 of them receive their spending money from part time jobs. (4 marks)

2. The mass of a small loaf of bread is normally distributed with a mean of 400g and a standard deviation of 5g.

2a.Find is the probability that a randomly chosen loaf has a mass of 397g to 400g. (4 marks)

2b. Find is the probability that from a selected 20 loafs, has a mass in between 398g to 402g. (4 marks)

3. Bayton Tire and Rubber Company wishes to set a minimum mileage guarantee on its new GT500 tire. Tests reveal the mean mileage is 67,900 with a standard deviation of 2,050 miles and that the distribution of miles follows the normal probability distribution. Bayton wants to set the minimum guaranteed mileage so that no more than 5 percent of the tires will have to be replaced. What minimum guaranteed mileage should Bayton announce? (5 marks)

4.Car that arrives at a toll plaza follows a Poisson distribution with an average of 6 cars in every 2 minutes time interval. Find the probability that there will be less than 3 car that arrives at a toll plaza in 2 minutes. (4 marks)