An experiment has the four possible mutually exclusive outcomes (A, B, C), and (D). Check whether the
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An experiment has the four possible mutually exclusive outcomes \(A, B, C\), and \(D\). Check whether the following assignments of probability are permissible:
(a) \(P(A)=0.38, P(B)=0.16, P(C)=0.11, P(D)=\)0.35;
(b) \(P(A)=0.27, P(B)=0.30, P(C)=0.28, P(D)=\) 0.16
(c) \(P(A)=0.32, P(B)=0.27, P(C)=-0.06\), \(P(D)=0.47\)
(d) \(P(A)=\frac{1}{2}, P(B)=\frac{1}{4}, P(C)=\frac{1}{8}, P(D)=\frac{1}{16}\);
(e) \(P(A)=\frac{5}{18}, P(B)=\frac{1}{6}, P(C)=\frac{1}{3}, P(D)=\frac{2}{9}\).
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Probability And Statistics For Engineers
ISBN: 9780134435688
9th Global Edition
Authors: Richard Johnson, Irwin Miller, John Freund
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