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If the domain of f

f is -3\le x \le 3

−3≤x≤3, what is the range


A TV manufacturer claims that the life span of its regular TV sets is 12 years with a standard



deviation of 1.2 years. Using a random sample of their 20 TV sets, the average life span is found



to be 11.2 years. Test the hypothesis that the T sets’ life span of 12 years as claimed by the



manufacturer is true at 0.05 level.

This program will calculate the discount given to customers at a pet store. There are three types of loyalty memberships: Gold members receive a 20% discount, Silver members receive a 15% discount, and Classic members receive a 10% discount, for all services. Customers who do not have a membership will not receive a discount. All members will receive a 10% discount on products purchased. There will be three classes in this program: customer, discount, and customervisit. It shall compute the total bill if the customer avails a number of services and purchases a number of products during a visit. Create a testdriver to test all the classes as well as complete/supply the code under getTotalCost to compute the final payment.

Q1: A firm has three telephone numbers. They receive numbers of calls that follow Poisson distributions, the first having a mean of 9, the second 6 and the third 7 in a period of half an hour. Find the probability that a) the second and third lines will receive a total of exactly eight calls in haft an hour b) the firm will receive at least four calls in half an hour c) line two will receive at most six calls one hour d ) line one will receive no call in 15 minutes

For items 9 to 10, refer to the given table below.

Mathematics Quiz Scores of 15 Grade-10 Aphrodite Student

Name Score

Amy 17

Michelle 17

Aila 17

Evan 11

Albert 11

D-anne 16

Sarah 15

Isaac 18

Aidan 19

Carl 12

Cherry 17

Jethro 14

Angelo 16

Nica 18

Noah 15


9. If 1 is 12, how many students belong to the lowest 25%?


10. If 5 is 16, how many students belong to the lower 50%?



Lilian got a score of 55, which is equivalent to the 70th percentile in a mathematics test. Which of the following is NOT true?

A. 70% of the students got a score less than or equal to Lilian’s score.

B. Thirty percent of the class got scores of 55 and above.

C. If the passing mark is the first quartile, she passed the test.

D. Her score is below the 5th decile.


Which is a correct statement about the function f (x) = 5x from the set



of integers Z to the set of integers?

For numbers 11-15, refer to the given table.

Distance (km) Travelled from Home to School of Students

18-20

15-17

12-14

9-11

6-8

3-5

0-2 

Frequency (f)

1

2

3

5

8

17

4

Lower boundaries

17.5

14.5

11.5

8.5

5.5

2.5

0.5 

Less Than Cumulative Frequency (< 𝑐𝑓)

40

39

37

34

29

21

4


11. What is the lower boundary in solving for the 45th percentile of the distance travelled from home to school of the students?

M. 2.5 A. 5.5 T. 8.5 H. 11.5 

12. What is the 45th percentile of the distance travelled from home to school of the students?

M. 4.79 A. 4.97 T. 7.94 H. 9.47

13. What cumulative frequency should be used in solving for the 7th decile?

M. 34 A. 29 T. 21 H. 4

14. Find the value of D7.

M.8.13 A. 7.13 T. 3.18 H. 1.38

15.What is the value of Q1?

M. 2.63 A. 3.56 T. 5.36 H. 6.35


3. The set of scores: 15, 14, 12, 10, 9, 11, 17, 15, and 19, find the median score.

M. 9 T. 11 A. 10 H. 14


2. What do you call the ninety-nine score points which divide a distribution into one hundred equal parts? M. decile T. percentile A. median H. quartile


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