5. Suppose we have a random variable ( X ) where for the values ( k=0, ldots, 10 ), the associated probabilities are ( left(egin{array}{c}10 \ kend{array} ight)(0.37)^{k}(0.63)^{10-k} ).. What is the mean of ( X ) ? A. ( 0.37 ) B. ( 0.63 ) C. ( 3.7 ) D. ( 6.3 ) E. None of the above
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The given probabilities \( \left(\begin{array}{c}10 \\ k\end{array}\right)(0.37)^{k}(0.63)^{10-k} \) indicate that \( X \) follows a binomial distribution with parameters \( n = 10 \) and \( p = 0.37 \). Show more…
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Suppose we have a random variable $X$ where, for the values $k$ $=0, \ldots, 10,$ the associated probabilities are $\left(\begin{array}{c}10 \\ k\end{array}\right)(0.37)^{k}(0.63)^{10-k} .$ What is the mean of $X ?$ (A) 0.37 (B) 0.63 (C) 3.7 (D) 6.3 (E) None of the above
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