
Discrete and Continuous Random Variables

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Amelia Wright
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key difference between continuous and discrete random variables?
Neither continuous nor discrete variables can take specific values.
Both continuous and discrete variables can take any value within a range.
Discrete variables can take any value within a range, while continuous variables can only take specific values.
Continuous variables can take any value within a range, while discrete variables can only take specific values.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the dice example, what does a relative frequency histogram represent?
The probability of each outcome occurring.
The sum of all possible outcomes.
The exact number of times each outcome occurs.
The relative frequency of each outcome compared to others.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is height considered a continuous random variable?
Because it is always a fixed value.
Because it is measured, not counted, and can take any value within a range.
Because it is counted, not measured.
Because it can only take whole number values.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a probability density function?
A function that represents the probability of continuous outcomes.
A histogram used for discrete data.
A table of all possible outcomes.
A function that shows the probability of discrete outcomes.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't we assign a non-zero probability to a single value in a continuous random variable?
Because it would result in probabilities summing to more than one.
Because single values are not possible in continuous data.
Because it is not mathematically possible.
Because continuous data is always zero.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solution to the problem of calculating probabilities for continuous random variables?
Using only discrete data.
Ignoring the problem altogether.
Using intervals instead of individual values.
Using individual values instead of intervals.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can discrete data sometimes be modeled?
Only as continuous data.
Only as discrete data.
As continuous data if it is small enough.
As continuous data if it is large enough.
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