(
03
Assessment
Multiple Choice. Choose the letter of the best answer. Write the chosen letter on a separate sheet of paper.
1. What formula is appropriate to use in calculating the expected value
A. E(x) = Exp(x) B. E(x) = 2x-p(x) C. E(x) = Exp (x)? D.E(x) = 2x/p (x)
2. Which among the list of formulas should be used to solve for the variance of discrete random variables
of the given data above?
A. O = (x + 1)2. P(x); for all possible values of x C. = X*P(x); for all possible values of x
B. O = (x -- u)?. P(x); for all possible values of x D. 0 = E(P(x) + p)2 x; for all possible values of x
3. Which of the following statements does not describes the value of the standard deviation?
A. A smali standard deviation (or variance) means that the distribution of the random variable is
narrowly concentrated around the mean
B. A large value of standard deviation (or variance) indicates that the distribution is spread out, with
some chance of observing values at some distance from the mean.
C. Standard deviation is obtained by getting the square root of the
variance.
D. It is obtained by squaring the variance.
4. What can we generate if we take the summation of the product of each value assigned to the random
variable and its corresponding probability?
A. Expected Value B. Probability value C. Standard Deviation D. Variance
5. Suppose that a coin is to be tossed four times, and let X represent the number of TAILS that can come
up", what are the possible values of the random variable X?
AO
B. 0,1
C. 1,2,3
D. O, 1,2,3,4
6. Which of the following is the correct value of standard deviation (o) of a discrete random variable X if
the variance is 2.5754?
A. 1.61
B. 1.60
C. 1.06
D. 1.01
For items 7-9, refer to the scenario and table provided below.
Let X be a random variable defining number of students getting 95 above grade.
e
e
deviation
1
2
3
X
e resear
ate a the
PIX)
0.2
0.1
0.4
0.3
7. What is the expected value of X from the given table?
A 1.3
B. 1.8
C. 1.9
D. 2.3
8. What is the variance () of the given probability distribution?
A 1.16
B. 1.18
C. 1.20
D. 1.28
9. Which of the following value is appropriate for deviation (ox) of the given probability distribution?
A 1.02
B. 1.04
C. 1.06
D. 1.08
10. A Grade 11 HUMMS researcher surveyed the households in Brgy. Quipot, Tiaong Quezon. The
random variable X represents the number of college graduates in the households. The probability
distribution of X is shown below.
ch typ
0.5
pher
0
1
2
P(X)
0.25
0.25
Find the values of variance and standard deviation.
A. 0.3 and 0.51 respectively
C. 0.5 and 0.71 respectively
B. 0.4 and 0.61 respectively
D. 0.6 and 0.81 respectively
11. In the 50 items test, Miss Santos, a Mathematics teacher claimed that most of the students' scores lie
closer to 40. In this situation, which of the following terms parallel to the score of 40?
A. Variance
B. Standard Deviation C. Expected Value or Mean D. Median
For items 12-15, refer to the scenario and table provided below.
In her Flower Shop, Vera recorded the probability distribution for the number of flower
arrangements that she delivered each day.
X
7
8
9
10
11
P(X)
0.20
0.20
0.30
0.20
0.10
ent
D. 0.30
12. What is the probability that she made at least 9 flower arrangements?
A. 0.60
B. 0.50
C. 0.40
13. What is the mean or expected value of the given probability distribution?
A. 8.5
B. 8.6
C. 8.7
14. Which of the following is the appropriate value for the variance?
A. 1.55
B. 1.56
C. 1.57
15. What value corresponds to the standard deviation?
A. 1.25
B. 1.26
C. 1.27
D 8.8
D. 1.58
D. 1.28​