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Although the binomial distribution is discrete, in many cases it can be modeled using a normal ...

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Although the binomial distribution is discrete, in many cases it can be modeled using a normal ...

Although the binomial distribution is discrete, in many cases it can be modeled using a normal distribution. IfXis binomial with mean =μ_xand standard deviation =σ_x_,then we can define a new random variableY that is normal with the same mean and same standard deviation. In this case under certain assumptions,P(X≤x) ≈P(Y≤x). This relationship is most useful whenXhas a large number of trials. IfXis binomial with a mean of 25 and a standard deviation of 4.33 (n= 100, p = 0.25), what isP(X≤ 23) using the normal approximation discussed here?

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0.3228

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0.4300

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0.4500

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0.6772

Textbook

Introductory Statistics: A Problem-Solving Approach

Edition: 3^rd

Author: Kokoska

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