document.write( "Question 375368: assume the random variable X has a binomial distribution with the given probability of obtaining a success find the following probability, given the sample size rounded your answer to 3 decimal places
\n" ); document.write( "P(x> or =3)n=4, p=0.5
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Algebra.Com's Answer #266939 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "Note: The probability of x successes in n trials is: \r
\n" ); document.write( "\n" ); document.write( "P = nCx* \"p%5Ex%2Aq%5E%28n-x%29\" where p and q are the probabilities of success and failure respectively.
\n" ); document.write( "In this case p & q are = 1/2 or .5
\n" ); document.write( "nCx = \"n%21%2F%28x%21%28n-x%21%29%29\" 4C3 = 4 4C4 = 1
\n" ); document.write( "P(x≥3)= P(3) + P(4)
\n" ); document.write( "P(3)= 4*(.5)^3(.5) = .25
\n" ); document.write( "P(4)= .5^4 = .0625
\n" ); document.write( "P(x≥3)= .25 + .0625 = .3125
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