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WorksheetsRandom Variables
Total questions: 11
Worksheet time: 6mins
State whether it is Discrete or Continuous;
A film critic's rating of a film, 0 to 4 stars
Discrete
Continuous
A random variable is defined by a rule that assigns a _______________ to every outcome in a sample space.
number
letter
Event
probability
Two fair dice are rolled and the numbers that appear are added. What is the probability that this sum is at least 5?
5/12
5/36
5/6
1/6
Is this a probability distribution?
No, the sum of p(x) does not equal 1.
Yes, all p(x) are between 0 and 1.
No, all p(x) are not between 0 and 1.
Yes, the sum p(x) is 1.
Which of the following variables can assume only a finite number of values and can be determined by simply counting?
Continuous Random Variable
Discrete Random Variable
Discrete Probability Distribution
Pay Off Value
List the sample space for this experiment : A coin is tossed at the start of a basketball match.
S = { TT , HH, TH, HT}
S = { T , H }
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
What is the term used for the set of all possible outcomes in an experiment?
Random Variable
Variable
Experiment
Sample Space
Which of the following is a continuous random variable?
The number of students online.
The time you spent in praying.
The number of COVID-19 cases.
The number of front liners in your city/municipality.
Experiment: Ask 50 shampoo users Let X be the number of satisfied users. What are the possible values of X?
x≤50
x=1,2,3,4,5,...,50
x=0,1,2,3,4,...,50
If P(X=x)=10x , what are the possible values of X for it to be a valid probability distribution?
2, 4, 5
0, 1, 2, 3
1, 2, 3, 4
3, 5, 6
If a fair coin is tossed twice, what is the probability of seeing heads exactly once?
3/4
1/3
1/2
2/3
