If Y has a x 2 distribution with n degrees of freedom then Y could be represented
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If Y has a x2 distribution with n degrees of freedom then Y could be represented by ∑x = in xi, where the xi's are independent x2 distributions, each with degree of freedom.
a. Show that Z = (Y - n)/√2n has approximately a standard normal distribution for large values of n.
b. If y has a x2 distribution with 30 degrees of freedom, find the approximate probability that Y falls within 2 standard deviations of its mean, i.e., find P(μ - 2σ < Y < μ + 2σ).
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Related Book For
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
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