Question
5. The Atlas Body-Building Company (ABC) sells starter sets of barbells that consist of one bar, two 20-pound plates, and four 5-pound plates. The bar
5. The Atlas Body-Building Company (ABC) sells "starter sets" of barbells that consist of one bar, two 20-pound plates, and four 5-pound plates. The bar and plates have mean weights and standard deviations shown in the table. You can assume that all the weights are normally distributed and independent.
Mean Weight (pounds) | Standard Deviations (pounds) | |
---|---|---|
Bar | 10 | 0.25 |
20-Pound Plate | 20 | 0.2 |
5-Pound Plate | 5 | 0.1 |
Suppose a customer orders a starter set. The six plates are shipped together in a box. The bar is sent in a separate box.
What is the probability that the total weight of the box with the plates exceeds 60.5 pounds?
4. A company that manufactures pillows developed the given probability model to show the number of pillows people use on their beds.
Number of Pillows | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8+ |
---|---|---|---|---|---|---|---|---|---|
Probability | 0.03 | 0.15 | 0.22 | 0.17 | 0.20 | 0.14 | 0.06 | 0.02 | 0.01 |
make a histogram of this probability distribution and describe its shape.
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