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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. If P(A|B) = P(A), what can you conclude about events A and B?

    Answer: They are independent

    P(A|B) = P(A) means knowing B occurred does not change the probability of A, so A and B are independent.

  2. A quality control test has a 95% pass rate. If 3 items are tested independently, what is the probability all 3 pass?

    Answer: 0.857

    P(all 3 pass) = 0.95³ = 0.857 approximately.

  3. The variance of a dataset is 25. What is the standard deviation?

    Answer: 5

    Standard deviation is the square root of variance: √25 = 5.

  4. In a standard normal distribution, what is the probability that Z < 0?

    Answer: 0.50

    The standard normal distribution is symmetric about zero, so exactly half the distribution lies below 0, giving P(Z < 0) = 0.50.

  5. A committee of 3 is chosen from 7 people. How many different committees are possible?

    Answer: 35

    Using combinations: C(7,3) = 7!/(3!×4!) = 35.

  6. Which distribution is BEST suited to model the number of defects per unit on a factory floor?

    Answer: Poisson distribution

    The Poisson distribution models the count of rare, independent events occurring in a fixed interval, such as defects per unit.

  7. If you roll a fair six-sided die 60 times, how many times would you expect to roll a 3?

    Answer: 10

    Expected count = 60 × (1/6) = 10.