1. The average gas mileage of a certain model car is 26 miles per gallon. If the gas mileages are normally distributed with a standard deviation of 1.3, find the probability that a car has a gas mileage of between 25.8 and 26.3 miles per gallon.
2. The average length of crocodiles in a swamp is 12 feet. If the lengths are normally distributed with a standard deviation of 1.9, find the probability that a crocodile is more than 11.5 feet long.
3. On an easy test, the mean score was 97 out of a possible 100 points. The distribution of all test scores is mostly likely to be skewed in which way?
4. Find the probability P(0.26 < z < 1.33) using the standard normal distribution.
5. For a normal distribution with mean –9 and standard deviation 2, the value –10 has a z value of what?