document.write( "Question 1045257: 38​% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is​ (a) exactly​ three, (b) at least​ four, and​ (c) at most two. If​ convenient, use technology to find the probabilities.\r
\n" ); document.write( "\n" ); document.write( "​(a)P(3)=? ​(Round to the nearest thousandth as​ needed.)
\n" ); document.write( "​(b)P(x≥4)=? ​(Round to the nearest thousandth as​ needed.)
\n" ); document.write( "​(c)P(x≤2)=? (Round to the nearest thousandth as​ needed.)
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P(3) is 12C3 (0.38)^3(0.62)^9=0.1634
\n" ); document.write( "P(2) is 12C2 (0.38)^2*(0.62)^10=0.0800
\n" ); document.write( "P(1) is 12*0.38*0.62^11=0.0237
\n" ); document.write( "P(0)=0.62^12=0.0032
\n" ); document.write( "P(x less than or equal to 2) is 0.1069
\n" ); document.write( "P>= 4 is 1- P( 3 or fewer)=1-0.2703=0.7297
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