DP Mathematics HL Questionbank
Unbiased estimators and estimates.
Description
[N/A]Directly related questions
- 18M.3sp.hl.TZ0.5b.ii: Hence write down an unbiased estimator of Var(X).
- 18M.3sp.hl.TZ0.5b.i: Show that \({\text{E}}\left( U \right) = \left( {n - 1} \right)p\left( {1 - p} \right)\).
- 18M.3sp.hl.TZ0.5a: Show that \(P = \frac{X}{n}\) is an unbiased estimator of \(p\).
- 12M.3sp.hl.TZ0.1a: Determine unbiased estimates for the mean and variance of the distribution.
- 11M.3sp.hl.TZ0.3a: Determine unbiased estimates of the mean and variance of the loss in weight achieved over the...
- SPNone.3sp.hl.TZ0.1a: Determine unbiased estimates of \(\mu \) and \({\sigma ^2}\).
- SPNone.3sp.hl.TZ0.5b: In order to estimate \(\theta \), a random sample of n observations is obtained from the...
- 10N.2.hl.TZ0.2: The company Fresh Water produces one-litre bottles of mineral water. The company wants to...
- 13M.3sp.hl.TZ0.1a: Find unbiased estimates of \(\mu \) and \({\sigma ^2}\).
- 14M.3sp.hl.TZ0.3: (a) Consider the random variable \(X\) for which \({\text{E}}(X) = a\lambda + b\), where...
- 15N.3sp.hl.TZ0.5b: The die is rolled a second time, and the score \({X_2}\) is noted. (i) Show that...
- 15N.3sp.hl.TZ0.5a: (i) Find \({\text{E}}({X_1})\). (ii) Hence obtain an unbiased estimator for \(p\).
- 15M.3sp.hl.TZ0.4a: Explain briefly the meaning of (i) an estimator of \(\mu \); (ii) an unbiased estimator...
- 15M.3sp.hl.TZ0.4b: A random sample \({X_1},{\text{ }}{X_2},{\text{ }}{X_3}\) of three independent observations is...
- 14N.3sp.hl.TZ0.4c: Let \(T = \frac{Y}{2} + \frac{Y}{2}\). (i) Show that \(T\) is an unbiased estimator for...
