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Probability and statistics (Maths Methods Units 3 and 4) quiz

12questions. Pick an answer and you'll see why right away.

  1. A binomial random variable X ~ Bin(n, p). Its expected value E(X) is:

  2. If P(A) = 0.5, P(B) = 0.4, and P(A and B) = 0.2, then A and B are:

  3. A continuous random variable X has probability density function f(x) = 1/4 on [0, 4] and 0 elsewhere. P(1 < X < 3) is:

  4. Z is standard normal. P(Z > 1) is approximately:

  5. A sample of n = 100 voters with sample proportion p_hat = 0.6. A 95 percent confidence interval for the population proportion is approximately:

  6. A discrete random variable X has values 0, 1, 2 with probabilities 0.5, 0.3, 0.2. Var(X) equals:

  7. Two events A and B are mutually exclusive. Then P(A or B) equals:

  8. Hypothesis testing in VCE Methods typically uses:

  9. A normal RV X has mean 50 and SD 10. P(X > 60) is approximately:

  10. Sampling distribution of the sample mean from a population with mean mu and SD sigma, sample size n. The sampling distribution has SD:

  11. X ~ Bin(10, 0.4). P(X = 4) is:

  12. Which is the strongest opening for a VCE Methods hypothesis test question?