Question

(a) Find the area above 66 for a N(60, 10) distribution. Round your answer to three decimal places. Area = i (b) Find the area below 47 for a N(60, 10) distribution. Round your answer to three decimal places. IN Area = i

Answer 1

To find the area above 66 for a N(60, 10) distribution, calculate the z-score, find the area to the left of the z-score, subtract that from 1, and round the answer to three decimal places.

Step-by-step explanation:

To find the area above 66 for a N(60, 10) distribution, you need to determine the area to the left of 66, subtract that from 1, and round the answer to three decimal places.

Step 1: Calculate the z-score using the formula: z = (x - mean) / standard deviation. For 66 in a N(60, 10) distribution, the z-score is (66 - 60) / 10 = 0.6.

Step 2: Refer to the z-table or use a calculator to find the area to the left of 0.6. The area is 0.7257.

Step 3: Subtract the area from 1 to find the area above 66: 1 - 0.7257 = 0.2743. Therefore, the area above 66 for a N(60, 10) distribution is approximately 0.274.