# Probability Use The Z Table To Determine The Following Probabilities Sketch A Normal Curve For Each Problem With The Appropriate Probability Area Shaded

Read the following and complete each of the four problemsets below.

1. Use the z-table to determine the followingprobabilities. Sketch a normal curve for each problem with the appropriateprobability 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 a67% probability.

Park Rangers in a Yellowstone National Park had determinedthat fawns less than 6 months old have a body weight that is approximatelynormally distributed with a mean u=26.1kg and standard deviation o=4.2 kg. Letx be the weight of a fawn in kilograms.

Complete each of the following steps for the word problemsbelow:

• Rewrite each of the following word problems intoa probability expression, such as P(x>30).

• Convert each of the probability expressions involvingx into probability expression with the appropriate area shaded.

• Solve the problem.

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

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

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

4. If a fawn less than 6 months old weighs 16pounds, would you say that it is an unusually small animal? Explain and verifyyour answer mathematically.

5. What is the weight of a fawn less than 6 monthsold that corresponds with a 20% probability of being randomly selected? Explainand verify your answer mathematically.