1. Suppose the heights of Ice Gnomes are normally distributed with a mean height of 40 cm and a standard deviation of 2.5 cm. The probability that an Ice Gnome is between 37cm and 41.625cm tall is?

2. The probability that a Titanoboa is 120 feet long or longer is 0.0062 while the probability that it is less than 86 feet long is 0.0401. The mean length and standard deviation of a Titanoboa are?

3. The heights of Lawn Trolls are normally distributed with a mean of 35 cm and a standard deviation of 5 cm. If there are 95 Trolls on a lawn, approximately how many are between 32.5 cm and 37.5 cm tall?

4. Suppose the masses of Megalodons are normally distributed with a mean of 47,000 kg and a standard deviation of 2,500 kg. Approximately how many, in a group of 175 megalodons, have a mass of more than 51,375 kg?

5. If there are 250 snarks in a colony (a snark is an imaginary animal) and their masses are normally distributed with a mean of 1.8 grams and a standard deviation of 0.5 grams. Approximately how many would have a mass between 1.75 grams and 1.875 grams?

6. If the mean for X is 50 and the standard deviation for X is 12.5, then z = 1.5 would mean x =?

7. If X~N(40, 100) then P(35 < X < 57.5) =?

8. Suppose X~N(30,16). which of the following probabilities is the same as P(X>33)?

9. Suppose I know that X~N(? 16). If x = 26 and z = 1.5 then the mean of this distribution is?

10. Suppose X~N(15, 25), then P(X < 22.5) =