Binomial distribution normal approximation

    • [DOC File]Chapter : The Normal Distribution

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      Normal Approximation for Binomial Distributions: Suppose that a count X has the binomial distribution with n trials and success probability p. When n is large, the distribution of X is approximately normal, N. As a rule of thumb, we will use the Normal approximation when n and p satisfy and . Assignment: p. 529-530 8.19 to 8.24

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    • [DOC File]The Normal Probability Distribution

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      Normal as Approximation to Binomial. Normal Distribution as Approximation to Binomial Distribution: Procedure: Check the requirement that np ≥ 5 and nq ≥ 5 . Find the values of the parameter by calculating and . Identify the discrete value x (the number of successes). Change the discrete value x by replacing it with the interval from (x ...

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    • [DOC File]Chapter 8 Day 3: Percentiles and Approximating Binomial ...

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      ( 6 The Normal Approximation to the Binomial distribution. Under certain circumstances the normal distribution can be used as an approximation to the binomial distribution. If X ~ Bin(n,p) then E(X) = np and Var(X) = npq where q = 1-p. For large n and p not too small or too large (it can be n > 10, p close to or n > 30, p around )

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    • How to Find the Normal Approximation to the Binomial with a Larg…

      Consider the binomial distribution with: n = number of trials r = number of successes p = probability of success. q = probability of failure = 1 – p. If np > 5 and nq > 5, then r has a binomial distribution that is approximated by a normal distribution with. µ = np and σ = √npq …

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    • [DOC File]AP Stats Chapter 8 Notes: The Binomial and Geometric ...

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      When do we use the normal approximation to the binomial distribution? The normal probability distribution is generally deemed a good approximation to the binomial probability distribution when np ≥ 5 and nq ≥ 5. [Remember q = 1 – p.] Recall for the binomial experiment: There are only two mutually exclusive outcomes (success or failure) on ...

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    • [DOC File]Normal Approximation to the Binomial Distribution:

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      Normal Approximation to the Binomial Distribution: *If X is a binomial random variable based on n trials with success probability p, and n is large, then the random variable X is also approximately a normal random variable. So, Mean = Standard Deviation = *In order to use the approximation effectively, both np and n(1-p) must be at least 10. Ex.

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