# Random Variables and Their Probability Distributions

## Quiz by jaime boy alegre

Statistics and Probability
Philippines Curriculum: SHS Core Subjects (MELC)

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20 questions
• Q1

Classify if the  random variables is  discrete or continuous. The number of cars sold during a given month

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30s
• Q2

Classify if the  random variables is  discrete or continuous. The price of a shirt.

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30s
• Q3

Classify if the  random variables is  discrete or continuous. The number of customers who visit a hospital during any given hour.

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30s
• Q4

Classify if the  random variables is  discrete or continuous. The number of customers who visit a hospital during any given hour.

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30s
• Q5

Classify if the  random variables is  discrete or continuous. The number of accidents that recorded during a certain day.

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30s
• Q6

Each of the following tables lists certain values of X and their probabilities. Verify which table represents a valid probability.

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30s
• Q7

The table gives the probability distribution of a discrete random variable X.  Find the probability that X assumes a value in the closed interval 0 to 4.

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• Q8

The table gives the probability distribution of a discrete random variable X.  Find the probability that X assumes a value in the interval 2 to 5.

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• Q9

Suppose that two balanced dice are rolled. Let X be a random variable denotes the absolute value of the difference of the two numbers. What are the possible values of the random variable X ?

0, 1, 2, 3, 4, 5, 6

-5,-4,-3,-2,-1, 0, 1, 2, 3, 4, 5

1, 2, 3, 4, 5

0, 1, 2, 3, 4, 5

30s
• Q10

The table gives the probability distribution of a discrete random variable X. Find the missing value?

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• Q11

A random variable can assume five values: 0,1,2,3,4 . A portion of the probability distribution is shown below. Find P(X=3).

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30s
• Q12

A random variable can assume five values: 0,1,2,3,4 . A portion of the probability distribution is shown below. Calculate the mean of X. Express your answer in two decimal places.

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30s
• Q13

A random variable can assume five values: 0,1,2,3,4 . A portion of the probability distribution is shown below. Calculate variance of X. Express your answer in two decimal places.

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30s
• Q14

A random variable can assume five values: 0,1,2,3,4 . A portion of the probability distribution is shown below. Calculate standard Deviation of X. Express your answer in two decimal places.

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