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A normal distribution has a mean of 22 and a standard deviation of 4. Use the 68-95-99.7 rule to find the percentage of values in the distribution above 30.

What is the percentage of values in the distribution above 30? (Type an integer or a decimal.)

A normal distribution has a mean of 22 and a standard deviation of 2. Use the 68-95-99.7 rule to find the percentage of values in the distribution above 28.

What is the percentage of values in the distribution above 28? (Type an integer or a decimal.)

Answer :

To find the percentage of values in a normal distribution above a given value, use the z-score and z-score table or calculator. The final answer is approximately 6.68%.

To find the percentage of values in the normal distribution above a given value, you can use the 68-95-99.7 rule. For the first question, we want to find the percentage of values above 30. First, calculate the z-score for 30 using the formula: z = (x - mean) / standard deviation. Plug in the values: z = (30 - 22) / 4 = 2.

Then, use the z-score table or a calculator to find the percentage of values above 2, which is approximately 2.28%.

For the second question, we want to find the percentage of values above 28. Repeat the same steps as before, but this time, calculate the z-score for 28. Plug in the values:

z = (28 - 22) / 4 = 1.5.

Use the z-score table or a calculator to find the percentage of values above 1.5, which is approximately 6.68%.

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