# Question: A large corporation has spent considerable time developing employee performance

A large corporation has spent considerable time developing employee performance rating scales to evaluate an employee’s job performance on a regular basis so major adjustments can be made when needed and employees who should be considered for a “fast track” can be isolated. Keys to this latter determination are ratings on the ability of an employee to perform to his or her capabilities and on his or her formal training for the job.

The probabilities for being placed on a fast track are as indicated for the 12 categories of work-load capacity and formal training. The following three events (A, B, and C) are defined:

A: An employee works at the high-capacity level

B: An employee falls into the highest (extensive) formal training category

C: An employee has little or no formal training and works below high capacity

a. Find P(A), P(B), and P(C).

b. Find P(A|B), P(B|) and P(|C)

c. Find P(A U B), P(A ∩ C), and P(B ∩ C ).

The probabilities for being placed on a fast track are as indicated for the 12 categories of work-load capacity and formal training. The following three events (A, B, and C) are defined:

A: An employee works at the high-capacity level

B: An employee falls into the highest (extensive) formal training category

C: An employee has little or no formal training and works below high capacity

a. Find P(A), P(B), and P(C).

b. Find P(A|B), P(B|) and P(|C)

c. Find P(A U B), P(A ∩ C), and P(B ∩ C ).

**View Solution:**## Answer to relevant Questions

The utility company in a large metropolitan area finds that 70% of its customers pay a given monthly bill in full. a. Suppose two customers are chosen at random from the list of all customers. What is the probability that ...In Example 4.4, we described a new test for determining defects in circuit boards. Compute the probability that the test correctly identifies the defects D1, D2, and D3; that is, compute P(D1|A1), P(D2|A2), and P(D3|A3). The numbers of cars failing an emissions test on randomly selected days at a state inspection station are given in the following table. a. Construct a graph of P(y). b. Compute P(y ≤ 2). c. Compute P(y > 7). d. Compute ...Let y be a random variable having a normal distribution with a mean equal to 50 and a standard deviation equal to 8. Find the following probabilities: a. P(y > 50) b. P(y > 53) c. P(y A psychologist is interested in studying women who are in the process of obtaining a divorce to determine whether the women experienced significant attitudinal changes after the divorce has been finalized. Existing records ...Post your question