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categoryإحصاء schoolبكالوريوس event_available2026-07-13

السؤال

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1. Consider the following probability distribution. Complete parts a through e. 0 114 1 1 4 4 12 p(x) a. Find μ. Find σ2. (Round to the nearest thousandth as needed.) (Round to the nearest thousandth as needed.) b. Find the sampling distribution of the sample mean x for a random sample of n = 2 measurements from this distribution. Put the answers in ascending order for x. X p(x) (Do not round.) c. Is x an unbiased estimator of μ? No, x is a biased estimator for μ. Yes, x is an unbiased estimator for μ. d. Find the sampling distribution of the sample variance s² for a random sample of n = 2 measurements from this distribution. Put the answers in ascending order for s². $2 p(s²) (Do not round.) e. Is s² an unbiased estimator of 2? No, s² is a biased estimator for 2. Yes, $2 is an unbiased estimator for 2.

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