204 7.5 normal approx to binomial

204 7.5 normal approx to binomial - and p = .50, what is...

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7.5 Normal Approximation To The Binomial As the value of n increases the binomial distribution (with parameters n and p) becomes more bell shaped and approaches the normal distribution with μ = np and σ = npq . The normal distribution is a reasonable approximation for the binomial when npq Using the above criteria determine if the following bionimal distributions are “close” to a normal distribution. n = 15 P = .50 n = 120 p = .04 n = 200 p = .02 Given a binomial distribution with n = 600
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Unformatted text preview: and p = .50, what is the expected value and standard deviation? np = npq = The above binomial distribution is close the normal distribution N(np, npq ), Thus we can use the normal approximation to estimate the probability p(x 322). Correction for continuity Assume that 60% of all voters favor candidate A. lf 50 voters are selected at random what is the probability that exactly 25 will favor candidate A.(use the normal approximation to the binomial) 25 25.5 24.5...
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204 7.5 normal approx to binomial - and p = .50, what is...

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