1.The HR manager of a company is considering 3 employees (A, B, and C) that could potentially retire soon. The probability that employee A will retire is 0.9 while that of B and C are 0.5 and 0.4 respectively.

Assume these events are independent.

Do not round results.

What is the probability that

1. all 3 employees will retire?
2. none of the 3 employees will retire?
3. only employee B will retire?
4. at least one employee will retire?

2. The probability distribution of a discrete random variableXXis given below.

x	0	1	2	3	4	5
P(x)	0.15	0.18	0.03	0.07	0.02	0.55

Determine the indicated probabilities. Do not round results.

1. P(X1)=
2. P(1
3. P(-5X5)=
4. P(1.7X3.9)=

3. Of the 51 students enrolled in a statistics class last semester, 26 received financial assistance and 25 attended classes regularly.

Report answers accurate to 4 decimal places.

If two students were selected from the class, one after the other and without replacement, what is the probability that:

1. the second student attended classes regularly given the first student also did?
2. both students received financial assistance?
3. only the first student attended classes regularly (the second student did not)?
4. neither of the two students attended classes regularly?

4. A binomial experiment consists of 16 trials. The probability of success on trial 9 is 0.64. What is the probability of success on trial 13?

• 0.78
• 0.3
• 0.74
• 0.31
• 0.64
• 0.56