1. If students’ scores were normally distributed and the mean was 200 with a standard deviation of 40, then what is the probability, in percentages, that a randomly chosen score is above 200?
2. If students’ scores were normally distributed and the mean was 200 with a standard deviation of 40, then what is the probability, in percentages, that it would be between 160 and 240?
3. If students’ scores were normally distributed and the mean was 200 with a standard deviation of 40, then what is the probability, in percentages, that it’s between 120 and 240?
4. If students’ scores were normally distributed and the mean was 200 with a standard deviation of 40, then what is the probability, in percentages, that it is below 240?
5. If students’ scores were normally distributed and the mean was 200 with a standard deviation of 40, then what is the probability, in percentages, that it above 280?
6. If students’ scores were normally distributed and the mean was 200 with a standard deviation of 40, then what is the probability, in percentages, that it is more than 1 standards deviation from the mean?
7. If students’ scores were normally distributed and the mean was 200 with a standard deviation of 40, then what is the probability, in percentages, that it is 2 standard deviations from the mean?
8. If the average yearly snowfall in Michigan is normally distributed with an average of 39 inches and a standards deviation of 9 inches, then what is the probability, in percentages, that a random year will have more than 30 inches of rain?
9. Cracker boxes say that there is 12 oz. in them, but the total weight of the crackers is normally distributed, and the mean is 12.3 oz. The standard deviation is .3 oz. What percentage of cracker boxes will probably contain fewer than 11.7 oz. of crackers?
10. A single serving coffee maker fills up cups with an average of 8 oz. The standard deviation is .4 oz. If there were 50 cups of coffee served, then how many of those cups would you expect to be filled with .4 oz. of the mean with normal distribution?
