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Mathematics
11th -
12thgrade
Random Variable and Discrete Probability Distribution
30 questions
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- 1. Multiple Choice
Which of the following statement describe a continuous random variable?
The number of students present in a Class Temperance
The average distance travelled by a tricycle in a month
The number of motorcycle owned by a randomly selected household
. The number of girls taller than 5 feet in a random sample of 6 girls
- 2. Multiple Choice
Which of the following is a variable whose value is obtained by measuring?
Continuous
Discrete
Interval
Normal
- 3. Multiple Choice
Which of the following is an example of discrete variable?
Distance travelled between cars
Height of the students ina section
Number of blue marbles in the box
Weight of potatoes in the basket
- 4. Multiple Choice
A variable whose value could be a finite and countable number is a____________
Continuous variable
Discrete variable
Qualitative variable
Quantitative variable
- 5. Multiple Choice
Which of the following is NOT a discrete random variable?
Height of eggplant as measured each day
Number of refrigerator sell each day
Number of late comers in going to school each day.
Number of people in Rizal Park from Monday to Friday
- 6. Multiple Choice
Which of the following is NOT a continuous random variable?
The height of the airplane’s flight
The amount of liquid on a container
The length of time for the check up in the hospital
The number of clients of a certain Insurance Company each day
- 7. Multiple Choice
You decided to conduct a survey of families with three children. You are interested in counting the number of girl in each family. Is this a random variable?
Maybe
Cannot be determined
Yes, it is a random variable
No., it is not a random variable.
- 8. Multiple Choice
A set of numerical values assigned to a sample space is called __________
Random sample
Random variable
Random process
Random experiment
- 9. Multiple Choice
Which of the following best describe variable that can be measured?
Categoricak
Continuoud
Discrete
Ordinal
- 10. Multiple Choice
A drawer has 2 red ties, 3 black ties and 5 blue ties. A tie is picked at random. What is the total number of possible outcomes?
2
3
5
10
- 11. Multiple Choice
Which of the following is a continuous random variable?
Height of sunflower as measured each day
Number of gadgets a business sell per day
Number of people attending mass every Sunday.
Number of people eating at the restaurant everyday
- 12. Multiple Choice
Which of the following variable is discrete random variable?
Lifetime of a AAA battery
The amount of gasoline in a car
Number of goals of a football team
The time it takes to commute to work
- 13. Multiple Choice
Which of the following statement DOES NOT describe a discrete random variable?
The number of children who do household chores everyday
The average amount of milk consumption of a baby each day
The number of students who excelled in mathematics in a certain grade level
The number of children who love to pray a rosary every 6 o’clock in the afternoon
- 14. Multiple Choice
Which of the following is NOT a continuous random variable?
The amount of water in a jog
The length of time attending a Webinar
The number of OFW who travelled abroad each day
The height of the tallest mountain in the Philippines
- 15. Multiple Choice
Which of the following is a true statement?
Random variables can only have one value
The value of a random variable could not be zero
The probability of all the value of a random variable could be zero
The sum of all the probabilities in a probability distribution is not equal to 1.
- 16. Multiple Choice
For numbers 16-21. Suppose you tossed three coins.
What are the sample spaces for the experiment above?
A. HHH, TTT
TTT, HHH, TTH, THT, HTH
TTT, HHH, HHT, THT, HTH
TTT, TTH, THT, HTT, HHT, HTH, THH, HHH
- 17. Multiple Choice
Three coins are tossed. How many possible outcomes will occur from the experiment above?
2
4
6
8
- 18. Multiple Choice
Threads coins are tossed. What are the possible values of the random variable for the number of heads?
0,1
0, 1, 2
1, 2, 3
0, 1, 2, 3
- 19. Multiple Choice
Three coins are tossed. What are the possible values of the random variable for the number of tails?
0, 1
0, 1, 2
1,2,3
0, 1, 2, 3
- 20. Multiple Choice
Which of the following is NOT a possible value of the random variable for the number of heads?
1
2
3
4
- 21. Multiple Choice
Three coins are tossed. Which of the following is NOT a possible value of the random variable for the number of tails?
4
3
2
1
- 22. Multiple Choice
Suppose three laptops are tested. Let D represent the defective laptop and N for the non-defective laptop. How many possible outcomes will occur from the experiment?
3
6
9
12
- 23. Multiple Choice
. What must be the value of the probability of each random variable?
P(X) ≥ 0
0≤ P(X) ≤ 1
-1≤ P(X) ≤ 1
P(X) ≤ 1
- 24. Multiple Choice
What is the sum of the probabilities of all values of the random variable?
∑ 𝑃(𝑋))= 0
∑ 𝑃(𝑋)) = 1/10
∑ 𝑃(𝑋)) = 1
∑ 𝑃(𝑋)) = 10
- 25. Multiple Choice
If two balls are drawn in succession without replacement from an urn containing 4 red balls and 5 blue balls. If the value of the random variable X represents the number of blue balls. What is the probability of getting two blue balls?
1/2
1/3
1/4
1/8
- 26. Multiple Choice
Which of the following values is not the value of the probability of the random variable?
1.01
1
0.50
0.05
- 27. Multiple Choice
Which of the following values can serve as the values of a probability distribution?
P(1) = 0.42, P2) = 0.31, P(3 )= 0.37
P(1) = 9/14, P2) = 4/14, P(3) = 1/14
P(1) = 0.08, P2) = 0.12, P(3 )= 1.03
P(1) = 10/33, P2) = 12/33, P(3) = 10/33
- 28. Multiple Choice
If P(X)= 𝑥/6 , what are the possible values of X for it to be a probability distribution?
0,2,3
1,1,2
2,3,4
1,2,3
- 29. Multiple Choice
What are the possible values of each random variable X if it represents the number of heads in tossing a coin thrice?
X = {0,1,2,3}
X = {0, 1,2}
X = {1, 2, 3}
X = {1,2}
- 30. Multiple Choice
What are the values of P(x) if P(x)= 𝑋/3 , for x=0,1, and 2?
0,1,2
0,0.33, 0.67
0,0.45, 0.55
0.2, 0.3, 0.5
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