Answer the following questions based on Section 1.3: Selecting individuals at random - probability.

Suppose we have a normal distribution with mean 6 and standard deviation 2. Use this information to answer the following questions.
1. 

Calculate the population standardized Z-value of 9.29. Write a number rounded to three decimal places.

2. 

What is the probability of observing a value greater than 9.29 in this population? Write a number rounded to two decimal places.

3. 

What is the probability of observing a value less than 2.71 in this population? Write a number rounded to two decimal places.

4. 

Calculate the 97.5th percentile of this population distribution. Write a number rounded to two decimal places.

5. 

Calculate the proportion of the population that is between 2.08 and 12.92? Write a number rounded to two decimal places.

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