Jack Cyber 0720130585 V. oieT 5 claim is true. A probability density function is defined by: kz (4-) 0SISA 1o fls) = elseuhere Where k is a constant. Find: (a) the value of k; (b) the expectation of...

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Extracted text: Jack Cyber 0720130585 V. oieT 5 claim is true. A probability density function is defined by: kz (4-) 0SISA 1o fls) = elseuhere Where k is a constant. Find: (a) the value of k; (b) the expectation of x; the standard deviation of x; (c) (d)* the probability that x exceeds 2.5; (e) aximum of 0.5 from the mode.