document.write( "Question 1177761: A fair coin is tossed 10 times. Let X denote the number of heads obtained. Find the following.
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document.write( "(a) P(X = 7)
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document.write( "(b) P(X ≤ 7)
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document.write( "(c) P(X > 0)
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document.write( "(d) E(X) and Var(X) \n" );
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Algebra.Com's Answer #806896 by ewatrrr(24785)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Hi\r\n" ); document.write( "Binomial Distribution: p(H) = .5 and q(T) = .5\r\n" ); document.write( "n = 10\r\n" ); document.write( "Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus\r\n" ); document.write( "(a) P(X = 7) = .1172\r\n" ); document.write( "(b) P(X ≤ 7) = .9453\r\n" ); document.write( "(c) P(X > 0) = 1 - P(x=0) = 1- .00098 = .99902\r\n" ); document.write( "(d) E(X) and Var(X)\r\n" ); document.write( "E(X) = .5*10 = 5\r\n" ); document.write( "Var(X) = npq = .5*10*.5 = 2.5\r\n" ); document.write( "Wish You the Best in your Studies.\r\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |