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In a normal distribution with mu equals 25 and sigma equals 6 what number corresponds to z equals 3?
MizzIcy29
Z = (x-mu)/sigma or 3 = (x - 25)/6 or 18 = x - 25 or x = 42. So, for Z = 3, x = 42.
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When can a binomial situation be approxiamted with a normal distribution?
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If X has any discrete probability distribution then the sum of a number of observations for X will be normal.
What is normal distribution in statstics?
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Why the normal distribution can be used as an approximation to the binomial distribution?
The central limit theorem basically states that for any distribution, the distribution of the sample means approaches a normal distribution as the sample size gets larger and larger. This allows us to use the normal distribution as an approximation to binomial, as long as the number of trials times the probability of success is greater than or equal to 5 and if you use the normal distribution as an approximation, you apply the continuity correction factor.
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Is normal distribution symmetric with a single peak?
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When can a binomial situation be approxiamted with a normal distribution?
The binomial distribution can be approximated with a normal distribution when np > 5 and np(1-p) > 5 where p is the proportion (probability) of success of an event and n is the total number of independent trials.
What is the difference between a general normal curve and a standard normal curve?
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