Exercises
Mix and Match
Exercises 1–10. Match each statement on the left to the notation on the right. X denotes a normally distributed random variable: X ~ N(μ, σ2). A googol, the namesake of Google, is 10100. The random variable Z denotes a standard normal random variable, Z ~ N(0, 1).
| 1. Mean of X | (a) 1/2 |
| 2. Variance of X | (b) P(Z < 1) |
| 3. Probability of X being less than its mean | (c) 0.05 |
| 4. Probability of X being less than μ + σ | (d) 2/3 |
| 5. Standard deviation of Z | (e) 1/(1 googol) |
| 6. Probability that a z-score based on X is less than 1 in magnitude | (f) μ |
| 7. Proportion of a normal distribution that is more than 20 σ from μ | (g) σ2 |
| 8. Difference between value of P(Z < − x) and value of P(Z > x) | (h) 1 |
| 9. Distribution of the random ... |
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