Question

2. Zulkifli, computer centre manager, reports that this computer system experienced three-component failure during the past 100 days. What is the probability of no failure?

Select one:

a. 0.004

b. 0.97

c. 0.996

d. 0.03

4. Suppose that women obtain 54% of all bachelor’s degrees in a particular country and that 20% of all bachelor’s degrees in business. Also, 8% of all bachelor’s degrees go to women majoring in business. The events “the bachelor’s degree holder is a woman” and the bachelor’s degree is in business” are _____________.

Select one:

A. statistically correlated

B. statistically independent

C. statistically not independent

D. statistically dependent

5. The variance for the data values “ 87, 85, 80, 78, 86, 90” is :

Select one:

A. 12

B. 4.1

C. 85

D. 17.1

6.

A company is hiring candidates for 4 key positions in the management of its new office. 5 candidates are from Malaysia and 3 are from United States. Assuming that every combination of Malaysian and American is equally likely to be selected, what is the probability that at least 1 American will be selected?

Select one:

A. 5/14

B. 1/14

C. 4/14

D. 13/14

7.

A researcher wants to investigate if there is a difference in the rates of hotel room in two cities. A sample of 50 were selected from each city, the average hotel room in the first city is RM88.42 and in the second city is RM80.61 and the standard deviation are RM5.62 and RM4. The null hypothesis for the difference between the means is

Select one:

A. µ1 - µ2 ≤ 0

B. µ1 - µ2 ≥ 0

C. µ1 - µ2 ≠ 0

D. µ1 - µ2 = 0

8.

The intercept of the regression equation for the following data:

X	43	48	56	61	67	55
Y	128	120	135	143	141	130

Select one:

A. 87.3922

B. 85.3421

C. 89.3421

D. 83.3421

9.

The number of credits in business courses ten job applicants had is shown here. “ 2, 3, 5, 6, 8, 10, 12, 15, 18, 20”

What value corresponds to the 60th percentile?

Select one:

A. 12

B. 8

C. 11

D. 10

10.

Zulkifli, computer centre manager, reports that this computer system experienced three-component failure during the past 100 days. What is the probability of at least two failures in a 3-day period?

Select one:

A. 0.004

B. 0.91

C. 0.03

D. 0.08

Answer 1

4. W: Women with bachelors degree

B: Bachelors degree in business

P(W⋂B) = 0.08

P(W)*P(B) = 0.54*0.20 = 0.108

Since, P(W⋂B) ≠ P(W)*P(B)

Hence, they are statistically not independent, so, the correct option is C

5. The variance is 17.1(rounded-off value) .The calculations are provided below:

So, the correct option is option D

6. Total number of Malaysian candidates = 5

Total number of American candidates = 3

Total number of candidates = 5+3 = 8

Total numer of candidates to be hired= 4

P(atleast 1 American will be selected) = 1 - P(No American will be selected) = 1 - C(5,4) / C(8,4) = 1 - 5/70 = 13/14

So, the correct option is option D

7. µ1 - µ2 = 0 is the correct null hypothesis.

So, the correct option is option D

Note: We are legally bounded to solve only 4 parts of the problem. Thank you