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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.

Read the first 7 Probability and Statistical Analysis flashcards as text

  1. A spinner has sections numbered 1–8, each equally likely. What is the probability of landing on a prime number?

    Answer: 1/2

    Prime numbers from 1–8 are 2, 3, 5, 7 — four primes out of 8 sections, giving probability 4/8 = 1/2.

  2. Two independent events A and B have 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 = 0.30.

  3. A class of 30 students has a mean test score of 74. If a 31st student scores 100, what is the new mean?

    Answer: 75.2

    New sum = 30 × 74 + 100 = 2320; new mean = 2320/31 ≈ 74.84 ≈ 75.2.

  4. What does a correlation coefficient of r = −0.9 indicate?

    Answer: A strong negative relationship

    A correlation coefficient close to −1 indicates a strong negative linear relationship between two variables.

  5. A box contains 10 cards numbered 1–10. One card is drawn at random. What is the probability the number is even or greater than 7?

    Answer: 7/10

    Even: {2,4,6,8,10}; greater than 7: {8,9,10}; union = {2,4,6,8,9,10} = 7 outcomes; P = 7/10.

  6. If a dataset has mean 50 and standard deviation 10, a z-score of 2.0 corresponds to a raw score of:

    Answer: 70

    Raw score = mean + z × SD = 50 + 2 × 10 = 70.

  7. In a survey, 60% of people prefer coffee and 40% prefer tea. If two people are selected independently, what is the probability both prefer tea?

    Answer: 0.16

    P(both tea) = 0.4 × 0.4 = 0.16, since the selections are independent.

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