Answer Happy

σ 7. (9 points) ACT scores are normally distributed with mean = 24.2 and standard deviation = 2.1. If we select one person at random, what is the probability that they have a score: (a) (3 points) less than 20? (b) (3 points) greater than 30? (c) (3 points) between 28 and 32? 8. (12 points) A spinner has four colors: red, blue, green and purple. If we spin twice, what is the probability that: (a) (3 points) the first is blue and the second is green. (b) (3 points) the first is blue and the second isn't blue. (c) (3 points) the first isn't blue and the second is blue. (d) (3 points) exactly one spin is blue. 9. (12 points) If the weights of girls at age 8 is normally distributed with mean = 56 pounds, and standard deviation o = 5.1, find: (a) (4 points) The weight corresponding to the 75% percentile (that is: what weight is greater than 75% of all weights)? (b) (4 points) The weight corresponding to the 40% percentilel. (c) (4 points) The range consisting of the middle 95% of all weights. 10 (o