The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a sta
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Answer: Normal approximation can be used for discrete sampling distributions, such as Binomial distribution and Poisson distribution if certain conditions are met.
Step-by-step explanation: We will give conditions under which the Binomial and Poisson distribitions, which are discrete, can be approximated by the Normal distribution. This procedure is called normal approximation.
1. Binomial distribution: Let the sampling distribution be the binomial distribution , where
is the number of trials and
is the probability of success. It can be approximated by the Normal distribution with the mean of
and the variance of
, denoted by
if the following condition is met:
2. Poisson distribution: Let the sampling distribution be the Poisson distribution where
is its mean. It can be approximated by the Normal distribution with the mean
and the variance
, denoted by
when
is large enough, say
(however, different sources may give different lower value for
but the greater it is, the better the approximation).
Hope this helps.
If not, go to: https://www.mathportal.org/calculators/financial-calculators/simple-interest-calculator.php
