STAT 1000 Lecture Notes - Lecture 30: Central Limit Theorem, Statistical Parameter, Binomial Distribution
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According to the manitoba agriculture website, 17% of the total number of farms in. First, are all the points in the binomial setting satisfied? there is a fixed number of observations 30. The farms are independent from one another. Two categories either is a vegetable farm or isn"t. Since this example does follow a binomial distribution, we can use our binomial formula to find the probability that there will be exactly 3 vegetable farms in our srs of size 30. What if we want to know the probability that there is at least 2 vegetable farms in a srs of 4 farms in manitoba. If we know that this problem follows a binomial setting, and we are asked for an approximate probability of a large sample size, we use the normal approximation. We know that = 0. 20 (the sample proportion) p = 0. 17 (from the question pop"n p proportion)