Suppose the Probability of an Athlete Taking a Certain Illegal

question 147

Multiple Choice

Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid?

• A) 0.0995
• B) 0.9928
• C) 0.9552
• D) 0.9325

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Definitions:

Joint Costs

The costs incurred in the process of producing two or more joint products before the point at which the products become separately identifiable.

Split-Off Point

In a production process, the stage at which jointly processed products become individually identifiable and able to be separated into distinct products.

Weighted Average Method

This inventory costing method calculates the cost of goods sold and ending inventory balance using the average cost of all similar items in inventory, weighted by the number of units.

Physical Units Method

An inventory costing method that allocates expenses based on the physical units produced or available, commonly used for homogeneous products.