X and Y are independent, normal random variables with E(X) = 2, V (X) = 5, E(Y

Question:

X and Y are independent, normal random variables with E(X) = 2, V (X) = 5, E(Y ) = 6, and V (Y ) = 8.

Determine the following:

(a) E(3X + 2Y )

(b) V (3X + 2Y )

(d) P(3X + 2Y <28)

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a E3X2Y 32 26 18 b V3X2Y 9...View the full answer

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Ashiq Hussain Bhat

Dr. Ashiq Hussain Bhat (A H Bhat) is a researcher in the field of Statistics (Information Theory, Coding theory, Fuzzy measures) and presently acting as a faculty member in the Department of Statistics, Government Degree College Boys, Sopore, (J&K), India. He has completed his Ph.D from Department of Statistics, University of Kashmir, Srinagar (J&K), India on topic entitled “Generalization of Fuzzy Divergence Measures and Their Applications”. He has published several research articles in reputed international journals of statistical and mathematical sciences with good indexing like Scopus, Copernicus, Zentralblatt and so on. He has attended more than five training programs and workshops regarding Statistical Software learning for biological and other applied fields of data analysis which include R Studio, SPSS, Minitab, Advanced Excel, Latex software learning for different practical fields. He has attended and presented in more than ten national and international confe

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