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Worksheets

Continuous and Random Variable

Total questions: 24

Worksheet time: 32mins

Name
Class
Date
1.

Identify whether the experiment involves a discrete or a continuous random variable.


Rotating a spinner that has 4 equally divided parts: blue, green, yellow, and red

a)

Discrete Random Variable

b)

Continuous Random Variable

2.

Identify whether the experiment involves a discrete or a continuous random variable.


Collecting data about the mileage per liter of a certain brand and model of a car

a)

Discrete Random Variable

b)

Continuous Random Variable

3.

Identify whether the experiment involves a discrete or a continuous random variable.


tossing a pair of fair coins

a)

Discrete Random Variable

b)

Continuous Random Variable

4.

Identify whether the experiment involves a discrete or a continuous random variable.


Recording the number of points scored by a NBA team in each game of the 2018 season

a)

Discrete Random Variable

b)

Continuous Random Variable

5.

Identify whether the experiment involves a discrete or a continuous random variable.


Number of phone calls answered by a call center agent during his/her shift

a)

Discrete Random Variable

b)

Continuous Random Variable

6.

Identify whether the experiment involves a discrete or a continuous random variable.


Recording number of medals that the Philippine team won in each of the past 20 Olympic games

a)

Discrete Random Variable

b)

Continuous Random Variable

7.

Identify whether the experiment involves a discrete or a continuous random variable.


Measuring the distance travelled by different cars using 1-liter of gasoline

a)

Discrete Random Variable

b)

Continuous Random Variable

8.

Identify whether the experiment involves a discrete or a continuous random variable.


Measuring the length of time it takes before a dolphin surfaces in the ocean to breath

a)

Discrete Random Variable

b)

Continuous Random Variable

9.

Identify whether the experiment involves a discrete or a continuous random variable.


Recording the number of times each student goes to the bathroom in each school day

a)

Discrete Random Variable

b)

Continuous Random Variable

10.

Identify whether the experiment involves a discrete or a continuous random variable.


Tallying the number of times a student has been late during the 1st term

a)

Discrete Random Variable

b)

Continuous Random Variable

11.

This takes numerical values that describe outcomes of a chance process.

a)

Probability distribution

b)

Random variable

c)

Standard deviation

d)

Sample space

12.

This gives the possible values and the probabilities of a random variable.

a)

Probability distribution

b)

Discrete random variable

c)

Continuous random variable

d)

Sample space

13.

This kind of random variable only takes integer values.

a)

Continuous

b)

Integer

c)

Discrete

d)

Value

14.

This type of random variable can take on any real number value.

a)

Discrete

b)

Value

c)

Real

d)

Continuous

15.

Which one of the following is discrete data?

a)

Sam is 160 cm tall

b)

Sam weighs 60 lbs.

c)

Sam ran 100 meters in 10.2 seconds

d)

Sam has two brothers and one sister

16.
The time it takes for a car battery to die. 
a)
Discrete
b)
Continuous
17.
Is the graph pictured discrete or continuous?
a)
Discrete
b)
Continuous
18.
When graphing a discrete function...
a)
Do not connect the dots
b)
Connect the dots
c)
You can't graph discrete functions
d)
There is no such thing as a discrete function
19.
a)
The cat has 2 eyes
b)
The cat has 2 kittens
c)
The cat has 4 paws
d)
The cat weights 5.4 kg
20.
Given the probability distribution table below, find the value of k.
a)
0.35
b)
0.15
c)
0.20
d)
0.30
21.

Find the missing value for P(X=5) in the probability ditribution:


Number of Toys | Probability

0| 0.03

1| 0.16

2| 0.30

3| 0.23

4| 0.17

5| ?

a)

0.11

b)

0.21

c)

0.01

d)

0.31

22.

What does P(Y<3) mean?

a)

The probability that the random variable Y is greater than 3.

b)

The probability that the random variable Y is less than 3.

c)

The probability that the random variable X is greater than 3.

d)

The probability that the random variable X is less than 3.

23.

Consider the following distribution where X = number of mice caught in an apartment in a night:

Mice | Probability

0 | 0.12

1 | 0.20

2 | 0.31

3 | 0.14

4 | 0.16

5 | 0.07

Is X discrete or continuous?

a)

Discrete

b)

Continuous

24.

Consider the following distribution where X = number of mice caught in an apartment in a night:

Mice | Probability

0 | 0.12

1 | 0.20

2 | 0.31

3 | 0.14

4 | 0.16

5 | 0.07

Which of the following means "trapping at least one mouse?"

a)

X<1

b)

X<1

c)

X>1

d)

X>1