Park Rangers in a Yellowstone National Park have determined thatfawns less than 6 months old have a body weight that isapproximately normally distributed with a mean µ = 26.1 kg andstandard deviation ? = 4.2 kg. Let x be the weight of a fawn inkilograms. Complete each of the following steps for the wordproblems below: ? Rewrite each of the following word problems intoa probability expression, such as P(x>30). ? Convert each of theprobability expressions involving x into probability expressionsinvolving z, using the information from the scenario. ? Sketch anormal curve for each z probability expression with the appropriateprobability area shaded. ? Solve the problem.

1. What is the probability of selecting a fawn less than 6months old in Yellowstone that weighs less than 25 kilograms?

2. What is the probability of selecting a fawn less than 6months old in Yellowstone that weighs more than 19 kilograms?

3. What is the probability of selecting a fawn less than 6months old in Yellowstone that weighs between 30 and 38kilograms?

4. If a fawn less than 6 months old weighs 16 pounds, would yousay that it is an unusually small animal? Explain and verify youranswer mathematically.

5. What is the weight of a fawn less than 6 months old thatcorresponds with a 20% probability of being randomly selected?Explain and verify your answer mathematically.