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Probability and Distributions Flashcards

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

Read the first 7 Probability and Distributions flashcards as text

  1. In a binomial experiment with n=10 and p=0.3, what is the expected number of successes?

    Answer: 3

    The expected value of a binomial distribution is E(X) = n × p = 10 × 0.3 = 3.

  2. What does a z-score of 2.0 indicate about a data point?

    Answer: It is 2 standard deviations above the mean

    A z-score of 2.0 means the data point is exactly 2 standard deviations above the mean.

  3. Events A and B are independent. P(A) = 0.6 and P(B) = 0.5. What is P(A and B)?

    Answer: 0.3

    For independent events, P(A and B) = P(A) × P(B) = 0.6 × 0.5 = 0.3.

  4. A dataset follows a uniform distribution between 10 and 30. What is the probability that a randomly selected value falls between 15 and 25?

    Answer: 1/2

    For a uniform distribution, P(15 ≤ X ≤ 25) = (25−15)/(30−10) = 10/20 = 1/2.

  5. A test has 5 multiple-choice questions each with 4 options. If a student guesses randomly, what is the probability of getting all 5 correct?

    Answer: 1/1024

    Each question has a 1/4 chance of being correct, so all 5 correct = (1/4)^5 = 1/1024.

  6. Which measure of center is MOST resistant to outliers in a dataset?

    Answer: Median

    The median is resistant to outliers because it depends only on the middle value, not the magnitude of extreme values.

  7. A Poisson distribution with λ=4 models the number of customer arrivals per hour. What is the mean number of arrivals?

    Answer: 4

    For a Poisson distribution, the mean equals the parameter λ, which is 4.