Read the following scenario and complete each of the four problem sets below:

A. Use the z-table to determine the following probabilities. Sketch a normal curve for

each problem with the appropriate probability area shaded.

1. P(z > 2.34)

2. P(z < -1.56)

3. P(z = 1.23)

4. P(-1.82 < z < 0.79)

5. Determine the z-score that corresponds with a 67% probability.

B. Read the following scenario:

Park Rangers in a Yellowstone National Park have determined that fawns less than 6

months old have a body weight that is approximately normally distributed with a mean

= 26.1 kg and standard deviation = 4.2 kg. Let x be the weight of a fawn in kilograms.

Complete each of the following steps for the word problems below:

Rewrite each of the following word problems into a probability expression, such

as P(x>30).

Convert each of the probability expressions involving x into probability

expressions involving z, using the information from the scenario.

Sketch a normal curve for each z probability expression with the appropriate

probability area shaded.

Solve the problem.

1. What is the probability of selecting a fawn less than 6 months old in

Yellowstone that weighs less than 25 kilograms?

2. What is the probability of selecting a fawn less than 6 months old in

Yellowstone that weighs more than 19 kilograms?

3. What is the probability of selecting a fawn less than 6 months old in

Yellowstone that weighs between 30 and 38 kilograms?

4. If a fawn less than 6 months old weighs 16 pounds, would you say that it is an

unusually small animal? Explain and verify your answer mathematically.

5. What is the weight of a fawn less than 6 months old that corresponds with a

20% probability of being randomly selected? Explain and verify your answer

mathematically.