1. Discrete variable is from qualities that can be A. Measured B. Counted C. Both A and B D. none of these 2. Continuous variable is from qualities that can be A. Measured B. Counted C. Both A and B D. none of these 3. Which of the following is a discrete random variable? A. the average amount of electricity consumed B. the number of patients in a hospital C. the amount of paint used in repainting a building D. the average weight of female athletes

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Directions: Encircle the letter that corresponds to the correct answer. Explain each answer  

1. Discrete variable is from qualities that can be
A. Measured
B. Counted
C. Both A and B
D. none of these
2. Continuous variable is from qualities that can be
A. Measured
B. Counted
C. Both A and B
D. none of these
3. Which of the following is a discrete random variable?
A. the average amount of electricity consumed
B. the number of patients in a hospital
C. the amount of paint used in repainting a building
D. the average weight of female athletes
4. Which of the following is a continuous random variable?
A. the number of book in the library
B. the number of votes in an election
C. the number of eggs in the basket
D. the lifetime in hours of 15 flashlights
5. It is a function that associates a real number to each element in the sample space. It is a variable
whose values are determined by chance.
A. Random Experiment
B. Random Sample
C. Random Variable
D. Random process
6. You decide to conduct a survey of families with two children. You are interested in counting the
number of girls (out of 2 children) in each family. Is this a random variable and if it is, what are the
possible values?
A. Yes, it is a random variable and its value can be 1 or 2.
B. Yes, it is a random variable and its value can be 0, 1 or 2.
C. Yes, it is a random variable and its value can be 2 or 4.
D. No, it is not a random variable since it is not random.
7. What is the sum of the probabilities of all values of the random variable?
A. ΣΡΧ)-1
B. E P(X) = 1/10
C. Σ Ρ(Χ)-0
D. Σ Ρ(Χ)-10
8. The probability of each value of the random variable must be
A. between or equal to 0 and 1
B. greater than 1
C. between 1 and 2
D. greater than 2
9 Which of the following can serve as the values of a probability distribution?
A. P(1) = 0.42, P2) = 0.31, P(3)= 0.37
B. P(1) = 9/14, P2) = 5/14, P(3)= 1/14
C. P(1) = 0.08, P2) = 0.12, P(3)= 0.83
D. P(1) = 10/33, P2) = 1/3, P(3)= 12/33
%3D
Transcribed Image Text:1. Discrete variable is from qualities that can be A. Measured B. Counted C. Both A and B D. none of these 2. Continuous variable is from qualities that can be A. Measured B. Counted C. Both A and B D. none of these 3. Which of the following is a discrete random variable? A. the average amount of electricity consumed B. the number of patients in a hospital C. the amount of paint used in repainting a building D. the average weight of female athletes 4. Which of the following is a continuous random variable? A. the number of book in the library B. the number of votes in an election C. the number of eggs in the basket D. the lifetime in hours of 15 flashlights 5. It is a function that associates a real number to each element in the sample space. It is a variable whose values are determined by chance. A. Random Experiment B. Random Sample C. Random Variable D. Random process 6. You decide to conduct a survey of families with two children. You are interested in counting the number of girls (out of 2 children) in each family. Is this a random variable and if it is, what are the possible values? A. Yes, it is a random variable and its value can be 1 or 2. B. Yes, it is a random variable and its value can be 0, 1 or 2. C. Yes, it is a random variable and its value can be 2 or 4. D. No, it is not a random variable since it is not random. 7. What is the sum of the probabilities of all values of the random variable? A. ΣΡΧ)-1 B. E P(X) = 1/10 C. Σ Ρ(Χ)-0 D. Σ Ρ(Χ)-10 8. The probability of each value of the random variable must be A. between or equal to 0 and 1 B. greater than 1 C. between 1 and 2 D. greater than 2 9 Which of the following can serve as the values of a probability distribution? A. P(1) = 0.42, P2) = 0.31, P(3)= 0.37 B. P(1) = 9/14, P2) = 5/14, P(3)= 1/14 C. P(1) = 0.08, P2) = 0.12, P(3)= 0.83 D. P(1) = 10/33, P2) = 1/3, P(3)= 12/33 %3D
10. If P(X)= , what are the possible values of X for it to be a probability distribution?
A. 0, 2, 3, 4
В. О, 1, 2, 3
С. 1, 3, 4
D. 1, 2, 3
11. Which statement is true about the standard deviation of a discrete random variable?
A. It deals about the average or center of location of the probability distribution.
B. It is obtained by multiplying the x values and its corresponding probability.
C. It is the square root of the variance of discrete random variable.
D. It is the summation of the product of the square of the difference of x and its probability.
12. In a recent Barangay Basketball League, each player went to free throws 2 times. The number of
free throws made by each player is described by the following probability distribution.
Number of free throws, X
Probability P(X)
0.20
1
0.45
0.35
What is the mean of the probability distribution?
А. 1.00
В. 1.15
С. 2.00
D. 2.25
13. What is the variance of the probability distribution?
C. 0.2575
A. 0.5725
В. О. 7255
D. 0.5275
14. The number of qualified voters living in household on a randomly selected subdivision block is
described by the following probability distribution.
Number of qualified voter/s, x
1
2
3
4
Probability, P(X)
0.25
0.50
0.10
0.15
What is the variance of the probability distribution?
A. 0.99
С.О.80
В. О.89
D. 0.79
15. What is the mean of the probability distribution?
С. 2.01
А. 2.10
В. 1.20
D. 1.02
Transcribed Image Text:10. If P(X)= , what are the possible values of X for it to be a probability distribution? A. 0, 2, 3, 4 В. О, 1, 2, 3 С. 1, 3, 4 D. 1, 2, 3 11. Which statement is true about the standard deviation of a discrete random variable? A. It deals about the average or center of location of the probability distribution. B. It is obtained by multiplying the x values and its corresponding probability. C. It is the square root of the variance of discrete random variable. D. It is the summation of the product of the square of the difference of x and its probability. 12. In a recent Barangay Basketball League, each player went to free throws 2 times. The number of free throws made by each player is described by the following probability distribution. Number of free throws, X Probability P(X) 0.20 1 0.45 0.35 What is the mean of the probability distribution? А. 1.00 В. 1.15 С. 2.00 D. 2.25 13. What is the variance of the probability distribution? C. 0.2575 A. 0.5725 В. О. 7255 D. 0.5275 14. The number of qualified voters living in household on a randomly selected subdivision block is described by the following probability distribution. Number of qualified voter/s, x 1 2 3 4 Probability, P(X) 0.25 0.50 0.10 0.15 What is the variance of the probability distribution? A. 0.99 С.О.80 В. О.89 D. 0.79 15. What is the mean of the probability distribution? С. 2.01 А. 2.10 В. 1.20 D. 1.02
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