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Statistical analysis (Year 12 Maths Advanced) quiz

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

  1. For a discrete random variable X with probabilities p_i and values x_i, the expected value E(X) is:

  2. Var(X) for a discrete random variable equals:

  3. For a standard normal variable Z, P(Z < 0) equals:

  4. Approximately what proportion of a normal distribution lies within one standard deviation of the mean?

  5. A test has scores normally distributed with mean 70 and SD 10. The z-score of a student who scored 85 is:

  6. Bivariate data shows points scattered along an approximately straight line with positive gradient. The Pearson correlation coefficient r is closest to:

  7. A least-squares regression line y = a + bx is best used for:

  8. A standardised normal variable has:

  9. If P(A) = 0.4 and P(B) = 0.3 and A, B are independent, P(A and B) equals:

  10. An experiment has X = 1 with probability 0.5 and X = 3 with probability 0.5. E(X) and Var(X) are:

  11. Which scenario CANNOT be modelled by a normal distribution?

  12. Which is the strongest opening for an HSC Maths Advanced statistical analysis extended question?