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Regional Diagnostic Assessment Statistics and Probability

QuizΒ by alejandromallari@deped.gov.ph

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50 questions
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  • Q1

    A variable that allows for an endless number of possible values for the information or data

    Quantitative

    Discrete variable

    Qualitative variable

    Continuous variable

    30s
  • Q2

    Of the following, which is a discrete random variable?

    Jose has four sisters

    Jose weighs 68 kilograms

    Jose is 163 cm tall

    Jose ran 300 meters in one and a half minutes

    30s
  • Q3

    You make the decision to gather several Coke cans and gauge the amount of soda contained in each one. Assume that there are x sodas in each can. X is what kind of variable?

    x is a continuous random variable

    x is a place holder

    x is a constant

    x is a discrete random variable

    30s
  • Q4

    You've decided to order a pizza, but first you must select the toppings and type of dough. Which of the following should you pick if there are only 6 viable pizza ordering combinations?

    Crust: thin or deep-dish Toppings: cheese or pepperoni

    Crust: thin or deep-dish Toppings: cheese, bacon, sausage, pepperoni or hotdog

    Crust: thin or deep-dish Toppings: cheese, bacon, sausage or pepperoni

    Crust: thin or deep-dish Toppings: cheese, bacon or pepperoni

    30s
  • Q5

    What are the potential values of the random variable for the number of tails if a coin is tossed?

    0, 1Β 

    0, 1, 2

    1, 2, 3

    0, 1, 2, 3

    30s
  • Q6

    What is the total probability of all possible random variable values?

    βˆ‘ 𝑃(𝑋)) = 10

    βˆ‘ 𝑃(𝑋)) = 1

    βˆ‘ 𝑃(𝑋)= 0

    βˆ‘ 𝑃(𝑋)) = 1/10

    30s
  • Q7

    If P(X)= π‘₯/6, what are the possible values of X for it to be a probability distribution?

    1,1,2

    1,2,3

    2,3,4

    0,2,3

    30s
  • Q8

    The given table represents a probability distribution. What is P(1) + P(4)?

    2/3

    1/3

    1/6

    Β½

    30s
  • Q9

    What is the correct procedure to follow to calculate the standard deviation if the variance of a probability distribution is 2.6 grams?

    √2.6

    1.61

    (2.6)

    1.61 – 2.6

    30s
  • Q10

    What formula should be applied to determine the expected value?

    𝐸(π‘₯) = βˆ‘ π‘₯ βˆ™ 𝑝 (π‘₯)

    𝐸(π‘₯) = βˆ‘ π‘₯ βˆ™ 𝑝 (π‘₯)2

    𝐸(π‘₯) = βˆ‘ π‘₯ /𝑝 (π‘₯)

    𝐸(π‘₯) = βˆ‘ π‘₯ βˆ’ 𝑝 (π‘₯)

    30s
  • Q11

    What can we get if we add up the values that each random variable was assigned, along with the appropriate probabilities?

    Probability value

    Expected Value

    Standard Deviation

    Variance

    30s
  • Q12

    Which of the following data demonstrates the potential for the greatest variety or variability?

    number of pieces of French fries in a regular pack from different orders of customers at McDonalds

    number of boys in families of three-children

    number of customers per hour who went shopping at SM Super Malls

    number of heads that will appear if two coins are tossed together repeatedly

    30s
  • Q13

    Which of the following is NOT a variance property?

    The variance is a value that is always positive.

    A large variance means that the distribution is spread out, with some chance of observing values at some distance from the mean.

    A small variance means that the distribution of the random variable is narrowly concentrated around the mean.

    The variance is a value that is always negative.

    30s
  • Q14

    Which of the following is the correct formula to find the expected value of the probability distribution?

    𝐸(π‘₯) = βˆšβˆ‘[π‘₯2 βˆ™ 𝑃(π‘₯)] βˆ’ 𝑒

    𝐸(π‘₯) = βˆ‘[π‘₯ βˆ™ 𝑃(π‘₯)]

    𝐸(π‘₯) = βˆ‘[π‘₯2 βˆ™ 𝑃(π‘₯)] βˆ’ 𝑒2

    𝐸(π‘₯) = βˆ‘[π‘₯2 βˆ™ 𝑃(π‘₯)]

    30s
  • Q15

    What is the probability distribution's mean or anticipated value?

    5.64

    6.32

    7.12

    4.85

    30s

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