Question: The chi-square distribution is important in statistics for testing whether data come from a specified distribution and for testing the independence of two characteristics of

The chi-square distribution is important in statistics for testing whether data come from a specified distribution and for testing the independence of two characteristics of a set of data. When a quantity called the degrees of freedom is equal to 4, the probability density function is given by f(x) = xexh 4 for x in [0, ).

(a) Verify that this is a probability density function by noting that ƒ(x) ≥ 0 and by finding P(0 ≤ X (b) Find P(0 ≤ X ≤ 3).

f(x) = xexh 4 for x in [0, ).

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