1.

A variable that can be discrete or continuous is called random variable

2. A variable whose value is obtained by measuring is continuous

3. Which of the following statement DOES NOT describe a continuous random variable?
a. Height of students in a certain class c. The number of streets at Barangay 91 Abucay
b. The average weight of chicken each day d. The distance travelled by a delivery van in an hour
4. Which of the following is discrete random variable?
a. Jake has four sisters c. Lawrence weighs 68 kilograms
b. Kerby is 163 cm tall d. Chirstian ran 300 meters in one and a half minutes
5. You decided to order a pizza, but you have to choose the type of crust and the toppings. If there are only 6
possible combinations of ordering a pizza, from which if the following should you choose?
a. CRUST: thin or deep dish
TOPPINGS: cheese or pepperoni
b. CRUST: thin or deep dish
TOPPINGS: cheese, bacon or pepperoni
c. CRUST: thin or deep dish
TOPPINGS: cheese, bacon, sausage or pepperoni
d. CRUST: thin or deep dish
TOPPINGS: cheese, bacon, sausage, pepperoni or hotdog
6. This describes variable that can be counted . discrete

7. Which of the following is NOT a discrete random variable?

a. Height of rose as measured each day
b. Number of appliances a business sells each day
c. Number of people went to church every Sunday
d. Number of students late in going to school each day

8. You decided to collect a bunch of cans of soda and measure the volume of soda in each can. Let x be the number
of sodas in each can. What type of variable is x ? x is a continuous random variable
a. x is a constant c. x is a discrete random variable
b. x is a place holder d. x is a continuous random variable

9. The number of absences from June to March of a student based on her class adviser’s record is shown below. If x
be the random variable representing the number of absences.
Month No. of Absences Month No. of Absences
June 0 November 2
July 2 December 1
August 1 January 4
September 3 February 1
October 2 March 4
Which table represents the probability distribution?
a.
x 0 1 2 3
2 2 3 3
P(x)
10 10 10 10

b.
x 0 1 2 3
1 3 3 3
P(x)
10 10 10 10
c. .
x 0 1 2 3 4
1 3 3 1 1
P(x)
10 10 10 10 5
d. .
x 0 1 2 3 4
 1 3 3 1 1
P(x)
5 10 10 10 10
10. 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 }

For items 11-14, refer to the scenario and table provided below.
In Omai’s Flower Shop, she 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
11. What is the probability that she made at least 9 flower arrangements?

12. What is the mean or expected value of the given probability distribution?

13. Which of the following is the appropriate value for the variance?

14. What value corresponds to the standard deviation?

15. What is the shape of a Normal Probability Distributions? bell

16. The part of a normal curve is asymptotic with the horizontal axis is tail

17. Which of the following statements is the characteristic of a normal probability distribution?
a. The three measures of central tendency such as mean, mode, and a median are equal.
b. The three measures of central tendency such as mean, mode, and a median are not equal.
c. The two measures of central tendency such as mean, and mode are equal while the median is greater than
zero.
d. The two measures of central tendency such as mean, and mode are equal while the median is less than zero.

18. The third quarterly assessment result of Grade 11 STEM students in their Statistics and Probability subject had
scored with a mean of 40 and a standard deviation of 8 . A histogram of the data shows that the distribution is
normal. Use the Empirical Rule to find the percentage of scores between 24 and 48 .
a. 13.5 % b. 68 % c. 81.5 % d. 95 %

19. What is another term of z table?

a. Table of Areas of Geometric Figure c. Table of Contents
b. Table of Areas Under Normal Curve d. Periodic Table of Elements

For items 20-21, refer to the table provided below.

20. Find the area of the shaded region of the given figure.

a. 0.1587 b. 0.3413 c. 0.3907 d. 0.8413

21. How will you describe the graph in item number 20?
a. The shaded region of the normal curve is below the z=1.
b. The shaded region of the normal curve is above the z=1.
c. The shaded region of the normal curve is between z=0 and z=1.
d. The shaded region of the normal curve is between z=− 1 and z=1.
22. Find the area above z=2.14 .
a. 0.0520 b. 0.0162 c. 0.0324 d. 0.9838
23. What is the area between z=0.23 and z=1.99 .
a. 0.3857 b. 0.3588 c. 0.8239 d. 0.8583
24. Find the sum of the areas under the standard normal curve to the left of z=− 3.14 and to the right of z=2.62.
a. 0.0008 b. 0.0036 c. 0.0044 d. 0.0052
25. The weekly sales of Grade 11 ABM students on their “Go Business” project are normally distributed with a mean
of ₱ 4,250.00 and a standard deviation of ₱ 300.00 . How many percent of their weekly sales are over
₱ 4,700.00?
 a. 6.68 % b. 13.36 % c. 86.53 % d. 93.32 %
26. What is the probability of z value indicated by P(z >−1.78)?
a. 0.0375 b. 0.3075 c. 0.9625 d. 0.9633
27. If Mardel’s z − score on post-assessment is −3 , the mean is 10 and the standard deviation is 2, what was her raw
score?
a. 4 b. 12 c. 16 d. 20
For items 28-32, refer to the following set of data of a population {11, 12, 13, 14}.
28. How many different samples of size n=2 can be drawn from the population?
a. 6 b. 5 c. 4 d. 3
29. Which of the following sample mean appears most frequent in the sampling distribution?
a. 10 b. 11.5 c. 12 d. 12.5
30. What is the lowest value of the sample mean in this sampling distribution?
a. 11.5 b. 12 c. 12.5 d. 13
31. What is the frequency of the sample mean 12.5?
a. 0 b. 1 c. 2 d. 3
32. What is the probability of the sample mean 12 in the sampling distribution?
1 2 2 3
a. b. c. d.
6 6 3 4
33. Which of the following is the notation used for the variance of the sampling distribution of the sample mean?
a. μ b. σ 2X c. σ 2 d. μ X
34. Which of the following is described as the quotient of the population variance and the sample size n ?
a. mean of the sampling distribution of sample mean
b. variance of the sampling distribution of the sample mean
c. standard deviation of the sampling distribution of the sample mean
d. average deviation of the sampling distribution of the sample mean
35. Which of the following is the formula used to determine the variance of the sampling distribution of the sample
mean?

a. μX=
σ
√n
s
⋅
2
√1− n
N −1
c. σ 2X =∑ [ P ( X ) ⋅ ( X − μ )2 ]

b. σ 2X = d. σ 2X =∑ [ P ( μ ) ⋅ ( X − μ )2 ]
N +1