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