Answer the following questions using the z-score chart .

2. The Weights of 100 remote control cars at a competition are approximately normally distributed. The average weight is 3.2 kg, with a standard deviation of 0.4 kg. [A/10 ] a. How many remote control cars would be disqualified if it were against the rules to have a car with a weight of more than 4 kg or less than 2.4 kg? b. A car is said to be in the 90th percentile. How much does it weigh?

3. The mean score on a test (out of 80) was found to be 64.2 and the standard deviation was determined to be 3.5 [T/10] a) Determine the probability that a student's score chosen at random is less than 72. b) Determine the probability that a student's score chosen at random is greater than 72. c) P(58< x <68) (score is between 58 and 68) 3

4. In a certain country, heights of men are normally distributed with a mean of 1.70 m and a standard deviation of 0.15 m. Doorways all have a height of 2.00 m. What percent of men in this country have to get used to ducking? [T/5]

5. The maximum attention spans, in seconds, of 40 two-year-olds are normally distributed with a mean of 75 and a standard deviation of 10. How many of these toddlers will have an attention span of less than 71 s? [T/5]