For numbers 9-10 Suppose two laptops are tested. Let D represent the defective laptop and N represent the non-defective laptop. 10. If we let X be the random variable representing the number of defective laptops. What are the possible values of the random variable X? a. 0,1 c. 0, 1, 2 d. 0, 1, 2, 3 b. 1, 2, 3 11. What is the sum of the probabilities of all values of the random variable? a. Σ P(X))= 0 b. Σ P(X)) = 1 c. Σ P(X)) = 1/10 d. Σ P(X)) = 10 12. What must be the value of the probability of each random variable? a. P(X) 20 c. -1≤ P(X) ≤1 b. 0≤ P(X) ≤1 d. P(X) ≤ 1
For numbers 9-10 Suppose two laptops are tested. Let D represent the defective laptop and N represent the non-defective laptop. 10. If we let X be the random variable representing the number of defective laptops. What are the possible values of the random variable X? a. 0,1 c. 0, 1, 2 d. 0, 1, 2, 3 b. 1, 2, 3 11. What is the sum of the probabilities of all values of the random variable? a. Σ P(X))= 0 b. Σ P(X)) = 1 c. Σ P(X)) = 1/10 d. Σ P(X)) = 10 12. What must be the value of the probability of each random variable? a. P(X) 20 c. -1≤ P(X) ≤1 b. 0≤ P(X) ≤1 d. P(X) ≤ 1
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:For numbers 9-10 Suppose two laptops are tested. Let D represent the defective laptop and N represent
the non-defective laptop.
?
D
, ND
10. If we let X be the random variable representing the number of defective laptops. What are the
possible values of the random variable X?
a. 0,1
c. 0, 1, 2
d. 0, 1, 2, 3
b. 1, 2, 3
11. What is the sum of the probabilities of all values of the random variable?
a. ΣP(X))=0
b. Σ P(X)) = 1
c. Σ P(X)) = 1/10
d. Σ P(X)) = 10
12. What must be the value of the probability of each random variable?
a. P(X) 20
b.
0≤ P(X) ≤ 1
c. -1≤ P(X) ≤1
d. P(X) ≤ 1
13. Which of the following values is not the value of the probability of the random variable?.
a. 1.01
c. 0.5
b. 0.15
d. 0.05
14. Which of the following values can serve as the values of a probability distribution?
a. P(1) = 0.42, P2) = 0.31, P(3)= 0.37 c. P(1) 9/14, P2) = 4/14, P(3)= 1/14
b. P(1)=0.08, P2)=0.12, P(3)= 1.03 d. P(1)= 10/33, P2) = 12/33, P(3)= 10/33
15. Which of the following statements is TRUE about the standard deviation of a discrete random
variable?
a. It shows the spread out or dispersion of discrete random variables.
b. It is obtained by multiplying the x values and their corresponding probability
c. It deals with the average or center of location of the probability distribution.
d. It is the summation of the product of the square of the difference of x and its probability.
16. Which term displays the variability or the dispersions of the random variables.
a. Probability Value
c. Expected Value
b. Mean Value
d. Variance
Refer to the given table in answering numbers 17-20
X
0
1
2
P(X)
1
1
1
4
2
4
2/3
17-18. What is P (X≤ 2)? (2 points)
a. 1
b. 3/4
c. ½
d. 1/4
19-20. What is P(X≥1)? (2 points)
a. 1
b. %
c. ½
d. 1/4
For items 21-24, refer to the scenario and table provided below
The number of qualified voters living in the household on a randomly selected Subdivision block is
described by the following probability distribution.
1
2
3
4
Number of qualified voter/s, x
Probability, P(X)
0.25
0.50
0.15 0.10
21. What is the mean of the probability distribution?
a. 1.0
c. 1.8
b. 2.0
d. 2.1.
22-23. What is the variance of the probability distribution? (2 points)
a. 0.99
c. 0.89
b. 0.79
d. 0.80
24. What is the standard deviation of the probability distribution?
a. 0.89
c. 0.88
b. 0.50
d. 0.62
2
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