Which of the following statements is true about the Law of Large Numbers?单项选择题

A

The Law of Large Numbers states that if an experiment with a random outcome is repeated a large number of times, the empirical probability that is observed is likely to be close to the theoretical probability.

B

The Law of Large Numbers states that the empirical probability that is observed will simulate the theoretical probability that is expected for any finite number of trials, so a simulation or experiment need not have an excessive number of trials.

C

The Law of Large Numbers states that if you simulate or conduct an experiment or simulation enough times the empirical probability observed will always match the theoretical probability that is expected.

D

The Law of Large Numbers is almost always true, but there are special occasions, even when outcomes are random, when the Law of Large Numbers can be broken.

登录即可查看完整答案

我们收录了全球超50000道真实原题与详细解析,现在登录,立即获得答案。

类似问题

Select all statements that are correct. The law of large numbers and central limit theorem (taken together) imply that:

As the sample size increases, the expected value of noise Stays the Same

The law of large numbers describes the result of performing the same experiment a large number of times. Let be examples i.i.d. drawn from a distribution . Let  be a function. Then which equation reflects the law of large numbers. A. lim 𝑛 → ∞ ∑ 𝑖 = 1 𝑛 𝑓 ( 𝑥 𝑖 ) = 𝐸 𝑋 ∼ 𝐷 [ 𝑓 ( 𝑋 ) ] . B. lim 𝑛 → ∞ 1 𝑛 ∑ 𝑖 = 1 𝑛 𝑓 ( 𝑥 𝑖 ) = 𝐸 𝑋 ∼ 𝐷 [ 𝑓 ( 𝑋 ) ] . C. lim 𝑛 → ∞ ∑ 𝑖 = 1 𝑛 𝑓 ( 𝑥 𝑖 ) = 𝑓 ( 𝐸 𝑋 ∼ 𝐷 [ 𝑋 ] ) . D. lim 𝑛 → ∞ 1 𝑛 ∑ 𝑖 = 1 𝑛 𝑓 ( 𝑥 𝑖 ) = 𝑓 ( 𝐸 𝑋 ∼ 𝐷 [ 𝑋 ] ) . E. None of the above equations is true.

Consider two pairs of grandparents. The first pair has 4 grandchildren and the second pair has 31 grandchildren. Which of the two pairs is more likely to have between​ 40% and​ 60% boys as​ grandchildren, assuming that boys and girls are equally likely as​ children? Why?

更多留学生实用工具

加入我们，立即解锁 海量真题 与 独家解析，让复习快人一步！