The normal approximation to the binomial distribution works best when the number of trials is large, and when the binomial distribution is symmetrical (like the normal).
举一反三
- A binomial distribution for which the number of trials n is large can well be approximated by a Poisson distribution when the probability of success, p, is:
- In a binomial distribution,
- In order to use the normal distribution for interval estimation of m when s is known, the population A: must be very large B: must have a normal distribution C: can have any distribution D: must have a mean of at least 1
- A standard normal distribution is a normal distribution with:
- If n samples are extracted from any population with mean value [img=11x18]1803dc1a4012523.png[/img] and variance [img=18x22]1803dc1a48a9511.png[/img], then A: When n is sufficiently large, the distribution of sample mean is approximately normal distribution. B: When n<10, the distribution of sample mean is approximately normal distribution. C: The distribution of sample mean is nothing to do with n. D: No matter how big n is, the distribution of the sample mean is not going to be close to a normal distribution.