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Random Variables and Their Probability Distributions

Quiz by jaime boy alegre

Grade 11-12
Statistics and Probability
Philippines Curriculum: SHS Core Subjects (MELC)

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20 questions
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  • 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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    30s
  • 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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    30s
  • 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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    30s
  • 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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    30s
  • Q15

    A normal random variable X has mean 10 and standard deviation 2, find the  Z value o f X= 13.5. Express your answer in two decimal places.

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    30s

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