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Probability and Statistical Analysis Flashcards

7 cards from real ISAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. In a sample of 200 students, 80 play sports. What is the relative frequency of students who play sports?

    Answer: 40%

    Relative frequency = 80/200 = 0.40 = 40%.

  2. A probability distribution has E(X) = 5 and Var(X) = 4. What is the standard deviation of X?

    Answer: 2

    Standard deviation = √Var(X) = √4 = 2.

  3. Bayes' theorem is used to:

    Answer: Update probability based on new evidence

    Bayes' theorem revises the probability of a hypothesis as additional evidence is incorporated.

  4. A data set: 3, 7, 7, 9, 11. What is the mode?

    Answer: 7

    The mode is 7 because it appears twice, more than any other value in the dataset.

  5. If P(A) = 0.4 and P(A|B) = 0.4, what can be concluded about events A and B?

    Answer: A and B are independent

    Since P(A|B) = P(A), knowing B occurred doesn't change the probability of A, so A and B are independent.

  6. A researcher records heights of 500 students. The distribution is approximately normal with mean 170 cm and SD 8 cm. About how many students are between 162 cm and 178 cm?

    Answer: 340

    162 and 178 are each one SD from the mean; the empirical rule says ~68% of 500 = 340 students fall in this range.

  7. Which of the following is an example of a continuous random variable?

    Answer: The exact temperature at noon

    Temperature can take any value within a range, making it a continuous random variable unlike counts, which are discrete.

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Probability and Statistical Analysis Flashcards — ISAT Study Cards with Answers