document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449786>Question 449786</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Could you please help me to solve this problem?\r<BR>\n" );
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document.write( "A binomial probability distribution has n = 15 trials with the probability of success on each trial is p = .65. Calculate the following.\r<BR>\n" );
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document.write( "a.	The mean,&#61549;, of the distribution <BR>\n" );
document.write( "b.	The standard deviation of the distribution <BR>\n" );
document.write( "c.	The probability of 10 successes<BR>\n" );
document.write( "d.	The probability of 10 failures<BR>\n" );
document.write( "e.	The probability of at least 14 successes\r<BR>\n" );
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document.write( "Must show work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309667 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=309667\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Could you please help me to solve this problem? <BR>\n" );
document.write( "A binomial probability distribution has n = 15 trials with the probability of success on each trial is p = .65. Calculate the following. <BR>\n" );
document.write( "a. The mean,&#61549;, of the distribution:: np = 15*0.65<BR>\n" );
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document.write( "b. The standard deviation of the distribution:: sqrt(npq) = sqrt(15*0.65*0.35)<BR>\n" );
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document.write( "c. The probability of 10 successes:: 15C10(0.65)^10*(0.35)^5<BR>\n" );
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document.write( "d. The probability of 10 failures::: 15C10(0.35)^10*(0.65)^5<BR>\n" );
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document.write( "e. The probability of at least 14 successes::<BR>\n" );
document.write( "Ans: P(14<= x <= 15) P(x = 14) + P(x = 15) = 15C14(0.65)^14*(0.35)+(0.65)^15<BR>\n" );
document.write( "= 15*0.0024*(0.35) + 0.0016<BR>\n" );
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document.write( "= 0.01416<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= <BR>\n" );
document.write( " </SPAN>\n" );
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