美国homework代写 Week 5 Homework

Week 5 Homework

美国homework代写 There are 100 employees in one company. Fifty-seven of the employees are hourly workers, 40 are supervisors, 2 are…

1. There are 100 employees in one company. Fifty-seven of the employees are hourly workers, 40 are supervisors, 2 are secretaries, and the remaining employee is the president. Suppose an employee is selected: 美国homework代写

a. What is the probability the selected employee is an hourly worker?

b. What is the probability the selected employee is either an hourly worker or a supervisor?

c. Refer to part (b). Are these events mutually exclusive?

d. What is the probability the selected employee is neither an hourly worker nor a supervisor?

a. 57, 57/100

b. 0.97, 57/100 + 40/100

c.Yes, because an employee cannot be both

d. 0.03, 1-0.97 美国homework代写

2. Recent surveys indicate 60% of tourists to China visited the Forbidden City, the Temple of Heaven, the Great Wall, and other historical sites in or near Beijing. Forty percent visited Xi’an with its magnificent terra-cotta soldiers, horses, and chariots, which lay buried for over 2,000 years. Thirty percent of the tourists went to both Beijing and Xi’an. What is the probability that a tourist visited at least one of these places?

0.70, found by = P(A) + P(B) – P(A and B)

             = 0.60 + 0.40 – 0.30

             = 0.70

3. There are four people being considered for the position of chief executive officer of Dalton Enterprises. Three of the applicants are over 60 years of age. Two are female, of which only one is over 60. 美国homework代写

a. What is the probability that a candidate is over 60 and female?

b. Given that the candidate is male, what is the probability he is less than 60?

c. Given that the person is over 60, what is the probability the person is female?

a. P(F and > 60) = 0.25, found by solving with the general rule of multiplication: P(F) × P(>60|F) = (0.50)(0.50)

b.0

c. 0.3333, found by 1/3

4. A computer password consists of four characters. The characters can be one of the 26 letters of the alphabet. Each character may be used more than once. How many different passwords are possible? 美国homework代写

456,976 found by 26⁴

5. A case of 24 cans contains 1 can that is contaminated. Three cans are to be chosen randomly for testing.

a.How many different combinations of three cans could be selected?

b.What is the probability that the contaminated can is selected for testing?