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Quantitative Data and Probability Exercises

Example 1

Some normal distribution has a mean of 34 and a standard deviation of 4. What is the probability of a random data point x falling between 21 and 45?

You can use this table to answer the question.

Example 2

Some normal distribution has a mean of 0 and a standard deviation of 1. What is the probability of getting a result less than 1.49?

You can use this table to answer the question.

Example 3

We got a score of 85 on our latest underwater basket-weaving test. If the test scores were normally distributed, with a mean of 78 and a standard deviation of 5, what proportion of the class would likely score better than we did?

You can use this table to answer the question.

Example 4

Some normal distribution has a mean of 55 and a standard deviation of 12. What is the probability of getting a result greater than 48?

You can use this table to answer the question.

Example 5

Some normal distribution has a mean of 8 and a standard deviation of 3. What is the probability of getting a result between 7 and 9?

You can use this table to answer the question.