The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. This distribution takes only whole-number values, so it is certainly not Normal. (i). Let X be the mean number of accidents per week at the intersection during a year (52 weeks). What is the approximate distribution of X? (ii). What is the approximate probability that X is less than 2? Show your work and include appropriate graphs of normal density curves of X and Z as illustration. (iii). What is the approximate probability that there are fewer than 100 accidents at the intersection in a year? (Hint: Restate this event in terms of X.) (iv). Approximately at least how many accidents per week at this intersection will we observe for 95% of the time? B I U A - A - I E = = x x, = E 12pt Paragraph fr

1. Each student in the class measures the length of their step in centimeters, then walks across the room counting the number of steps to estimate the length of the classroom in centimeters. : .. 750 752 754 756 758 760 762 764 766 768 770 772 774 length of classroom (cm)

2. Kenneth threw a basketball toward the hoop. At the time the ball left his hands it was travelling at a rate of 8 meters per second. a. How many meters above his hands was the ball after i. 1 second ii. 0.5 seconds iii. 1.5 seconds b. After 0.5 seconds, was the ball on its way up or down? Justify your answer. c. i. How many meters was the ball above his hands after 0.2 seconds? ii. If the ball left Kenneth's hands at a distance of 3 meters above the floor, how far from the floor will the ball be after 0.2 seconds? d. Given that the ball left Kenneth's hands 3 meters above the floor, if Kenneth misses the shot, how long will it take the ball to hit the floor? e. The ceiling of the gym has beams at a height of 15 meters above the floor. Can the ball possibly touch one of these beams? Justify your answer.

and 6. How many 3 A car needs 1 minute 30 seconds to travel a distance of 1 mile. At this rate, how many miles will the car travel in 1 hour? 4. a special sale, all pen