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WorksheetsSUMMATIVE TEST (STAT AND PROB)
Total questions: 35
Worksheet time: 26mins
What do you called the variable that can be discrete or continuous?
Random sample
Random variable
Random notation
Random elimination
A variable whose value could be a finite and countable number.
Continuous variable
Qualitative variable
Discrete variable
Quantitative variable
Which of the following is a variable whose value is obtained by measuring?
Continuous
Discrete
Ordinal
Nominal
Which of the following is an example of discrete variable?
Distance travelled between cars
Height of the students in a section Prudence
Number of blue marbles in the box
Weight of potatoes in the basket
Which of the following statement describe a continuous random variable?
The number of students present in a class
The average distance traveled by a jeep in a week
The number of correct guesses on a multiple-choice test
The number of women taller than 68 inches in a random sample of 5 women
A set of numerical values assigned to a sample space is called _____.
Random sample
Random Process
Random variable
Random experiment
Suppose you tossed two coins.
How many possible outcomes will occur from the experiment above?
1
3
4
2
Suppose you tossed two coins.
What are the sample spaces for the experiment above?
HH, TT
HH, HT, TT
HH, TH, TT
HH, HT, TT, TH
Suppose you tossed two coins.
Which of the following is NOT a possible value of the random variable for the number of heads?
1
3
0
2
Refers to the visual representation of the distribution of quantitative data
histogram
diagram
figure
graph
What must be the value of the probability of each random variable?
P(X) ≥ 0
-1≤ P(X) ≤ 1
0≤ P(X) ≤ 1
P(X) ≤ 1
Which of the following notations is equivalent to the expected value of the probability distribution?
𝐸(𝑋)
𝜎
𝜀
𝑃(𝑥)
What is the sum of the probabilities of all values of the random variable?
∑ P(X)) = 0
∑ P(X)) = 1
∑ P(X)) = 1/10
. ∑ P(X)) = 10
Refers to the table below,
Find P(1≤Y≤4)
9/10
1/2
4/5
3/10
Refers to the table below,
Find P(Y<4)
7/10
1/5
9/10
3/5
Refers to the table below,
Find P(4)+P(1)-P(2)
1/10
1/5
-1/10
-1/5
Which of the following terms is considered as a measure of the `central location' of a random variable?
Probability Value
Numerical Value
Mean Value
Variance
What can we generate if we take the squares of standard deviation?
Expected Value
Probability value
Mean Value
Variance
Which of the following statements is TRUE about the standard deviation of a discrete random variable?
It shows the spread out or dispersion of discrete random variables.
It is obtained by multiplying the x values and their corresponding probability.
It deals with the average or center of location of the probability distribution.
It is the summation of the product of the square of the difference of x and its probability.
Which of the following is NOT included in the process of calculating the mean of the discrete random variable X?
Get the summation of the product
Identify the correct probabilities for each x value.
Multiply each x value by its probability
Get the summation of the product
Which of the following notations is equivalent to the mean of the probability distribution?
𝜎
𝜇
∞
None of the Above
Which of the following best describe the mean of a discrete random variable?
It is the lowest assumed value of a discrete random variable.
It is the highest assumed value of a discrete random variable.
It is the average value of a discrete random variable over numerous trials of an experiment.
It is the amount of spread, dispersion, or variability of the assumed value of a discrete random variable.
How would you interpret a very small variance or standard deviation but not equal to zero? The values of the random variables ______.
are farther from the mean.
are nearer to the mean.
are equal to the mean.
have no relationship with the mean.
Which of the following is NOT a property of the variance?
A small variance means that the distribution of the random variable is narrowly concentrated around the mean.
A large variance means that the distribution is spread out, with some chance of observing values at some distance from the mean.
The variance is a value that is always positive
The variance is a value that is always negative.
Which of the following is the use of the formula of (x)=∑ x∙p (x)?
Probability Distribution
Standard Deviation of Discrete Probability distribution
Variance of Discrete Probability Distribution
Mean or Expected Value of Discrete Probability Distribution
What is the shape of a Normal Probability Distributions?
bar
circle
bell
line
Which part of a normal curve is asymptotic with the horizontal axis?
center
curve
tail
top
Which of the following parameters is the basis of the shape of the normal curve?
mean
variance
standard deviation
both a and b
Which of the following statements is the characteristic of a normal probability distribution?
The three measures of central tendency such as mean, mode, and median are equal
The three measures of central tendency such as mean, mode, and median are not equal
The two measures of central tendency such as mean and mode are equal while the median is greater than zero
The two measures of central tendency such as mean and mode are equal while the median is less than zero
Under the curve, the area to the right of the mean is _________
30%
50%
47.72%
68%
What is another term used for standard normal score?
z-score
t-score
mean score
x-score
Find the area above z= 2.14
0.0522
0.0162
0.0324
0.9838
What is the area between z = 0.23 and z = 1.99?
0.3858
0.3588
0.8239
0.8583
Given: z = 2.25; µ = 70;σ=16, Find the value of x.
90
-108
-90
108
Suppose the provincial health officer of Camarines Sur reported that the average COVID19 positive for 40 days is 10 patients with the standard deviation of 6 patients. What is the z score of 18 patients?
1.33
4.66
1.34
4.67
