1. Which of the following is a discrete random variable? A. Average weight of female athletes. B. Average amount of electricity consumed. C. Number of suspected cases of COVID-19. D. Amount of paint used in repainting a building.

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Directions: Read each item carefully and write the correct answer in a
separate sheet of paper.
1. Which of the following is a discrete random variable?
A. Average weight of female athletes.
B. Average amount of electricity consumed.
C. Number of suspected cases of COVID-19.
D. Amount of paint used in repainting a building.
2. Which of the following represents a probability distribution?
А.
C.
3.
P(X) 0.35
0.31
0.22 0.12
P(X)
D.
0.38
0.36 0,30 0.12
В.
1
2.
4
2
6.
P(X)
1/6 3/6 2/6
1/6
P(X) 1/3 4/3 2/3
1/3
3. Which of the following is the expected value of the variable x?
A. Mean
B. Median
C. Mode
D. Variance
4. If P(X)
what are the possible values of X for it to be a probability
distribution?
А. О, 2, 3
В. 1, 2, 3
С. 2, 3, 4
D. 1, 1, 2
Transcribed Image Text:Directions: Read each item carefully and write the correct answer in a separate sheet of paper. 1. Which of the following is a discrete random variable? A. Average weight of female athletes. B. Average amount of electricity consumed. C. Number of suspected cases of COVID-19. D. Amount of paint used in repainting a building. 2. Which of the following represents a probability distribution? А. C. 3. P(X) 0.35 0.31 0.22 0.12 P(X) D. 0.38 0.36 0,30 0.12 В. 1 2. 4 2 6. P(X) 1/6 3/6 2/6 1/6 P(X) 1/3 4/3 2/3 1/3 3. Which of the following is the expected value of the variable x? A. Mean B. Median C. Mode D. Variance 4. If P(X) what are the possible values of X for it to be a probability distribution? А. О, 2, 3 В. 1, 2, 3 С. 2, 3, 4 D. 1, 1, 2
olic
elcewness of a normal eurve?
B.0
CI
ares that corresponds to z-value, zw0.37
B. O.11791
D. 0.15542
C. O.12172
e area that corresponds to 8-value, z -0.57
B. 0.12172
926
D. 0.19146
C. 0.15542
aponds to z-value, z 1.257
C. 0.3944
7926
D. 0.4115
G. A randomn variable X has the following probability distribution. What is the
value of c?
2
3
4
PIX)
0.25
0.37
0.28
0.06
A. 0.01
B. 0.02
C. 0.03
D. 0.04
6. If two coins are tossed, which is NOTa possible value of the random variable
for the number of heads?
A. O
В. 1
C. 2
D. 3
7. A researcher surveyed the households in a small town. The random variable
X represents the number of college graduates in the households. Does the
table illustrate a probability distribution?
1
P(x)
0.25
0.50
0.50
A. Yes
8. A coin is tossed thrice. Let the variable X represent the numbers of heads.
B. No
C. Maybe
D. Cannot be determined
What will be the values of variable X?
A. 0, 1, 2, 3
B. 1, 2, 3, 4
C. 5, 6, 7, 8
D. 1, 3, 5, 7
9. Mean is the expected value or the weighted average of all the values that the
random variable X would assume. What are the steps in computing the mean
of a discrete random variable?
I. Add the results obtained in multiplying the random variable X by
the corresponding probability.
II. Construct the probability distribution for the random variable X.
III. Multiply the value of the random variable X by the corresponding
probability.
A. III, II, 1
10. In a recent little league softball game, each player went to bat 4 times. The
number of hits made by each player is described by the following probability
distribution. What is the mean of the probability distribution?
Number of hits, x
Probability, P(X)
B, I, II, III
C. II, III, 1
D. III, I, II
1
2
3
4
0.10
0.20
0.30
0.25
0.15
A. 1.00
B. 1.75
C. 2.00
D. 2.15
For numbers 11-13, refer to the problem below.
Suppose three coins are tossed. Let X be the random variable representing
the number of tails that occur.
11. What are the possible values of the random variable X?
A. 0, 2, 4, 6
B. 1, 5, 7, 9
C. 0, 1, 2, 3
D. 5, 6, 7, 8
13
of the Philippines
Transcribed Image Text:olic elcewness of a normal eurve? B.0 CI ares that corresponds to z-value, zw0.37 B. O.11791 D. 0.15542 C. O.12172 e area that corresponds to 8-value, z -0.57 B. 0.12172 926 D. 0.19146 C. 0.15542 aponds to z-value, z 1.257 C. 0.3944 7926 D. 0.4115 G. A randomn variable X has the following probability distribution. What is the value of c? 2 3 4 PIX) 0.25 0.37 0.28 0.06 A. 0.01 B. 0.02 C. 0.03 D. 0.04 6. If two coins are tossed, which is NOTa possible value of the random variable for the number of heads? A. O В. 1 C. 2 D. 3 7. A researcher surveyed the households in a small town. The random variable X represents the number of college graduates in the households. Does the table illustrate a probability distribution? 1 P(x) 0.25 0.50 0.50 A. Yes 8. A coin is tossed thrice. Let the variable X represent the numbers of heads. B. No C. Maybe D. Cannot be determined What will be the values of variable X? A. 0, 1, 2, 3 B. 1, 2, 3, 4 C. 5, 6, 7, 8 D. 1, 3, 5, 7 9. Mean is the expected value or the weighted average of all the values that the random variable X would assume. What are the steps in computing the mean of a discrete random variable? I. Add the results obtained in multiplying the random variable X by the corresponding probability. II. Construct the probability distribution for the random variable X. III. Multiply the value of the random variable X by the corresponding probability. A. III, II, 1 10. In a recent little league softball game, each player went to bat 4 times. The number of hits made by each player is described by the following probability distribution. What is the mean of the probability distribution? Number of hits, x Probability, P(X) B, I, II, III C. II, III, 1 D. III, I, II 1 2 3 4 0.10 0.20 0.30 0.25 0.15 A. 1.00 B. 1.75 C. 2.00 D. 2.15 For numbers 11-13, refer to the problem below. Suppose three coins are tossed. Let X be the random variable representing the number of tails that occur. 11. What are the possible values of the random variable X? A. 0, 2, 4, 6 B. 1, 5, 7, 9 C. 0, 1, 2, 3 D. 5, 6, 7, 8 13 of the Philippines
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