document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192516>Question 192516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Probability Distribution<BR>\n" );
document.write( "1.   Decide whether the random variable is discrete or continuous.<BR>\n" );
document.write( "a.	The number of oil spills off the East Coast<BR>\n" );
document.write( "b.	The number of touchdowns in the 2007 Super Bowl<BR>\n" );
document.write( "c.	The temperature in degrees Fahrenheit on December 31 in New York City<BR>\n" );
document.write( "d.	The blood pressure of Statistic student in a class one hour after the final exam<BR>\n" );
document.write( "e.	The age of the youngest student in an English grammar class\r<BR>\n" );
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document.write( "Binomial Probability\r<BR>\n" );
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document.write( "Find the indicated binomial probabilities. Round to the nearest 3 decimal places.\r<BR>\n" );
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document.write( "4.	Hot Shot Battery manufactures batteries in batches of 15 with a defective rate of 10%<BR>\n" );
document.write( "a.	What is the probability that exactly 2 will be defective?<BR>\n" );
document.write( "	<BR>\n" );
document.write( "b.	What is the probability that between 2 and 4 inclusive will be defective?<BR>\n" );
document.write( "		<BR>\n" );
document.write( "c.	What is the probability that no batteries will be defective?<BR>\n" );
document.write( "d.   Find the mean &#61549; <BR>\n" );
document.write( "e.   Find the variance &#61555;2    <BR>\n" );
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document.write( "5.	A Multiple-choice test has 15 questions with each having 4 possible answers with one correct. Assume a student answers every question. \r<BR>\n" );
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document.write( "a. What is the probability of getting exactly 5 correct answers?\r<BR>\n" );
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document.write( "b. What is the probability of getting less than 6 correct answers?\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #144532 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=144532\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability Distribution<BR>\n" );
document.write( "1. Decide whether the random variable is discrete or continuous.<BR>\n" );
document.write( "a. The number of oil spills off the East Coast<BR>\n" );
document.write( "discrete<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "b. The number of touchdowns in the 2007 Super Bowl<BR>\n" );
document.write( "discrete<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "c. The temperature in degrees Fahrenheit on December 31 in New York City<BR>\n" );
document.write( "continuous<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "d. The blood pressure of Statistic student in a class one hour after the final exam<BR>\n" );
document.write( "discrete<BR>\n" );
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document.write( "e. The age of the youngest student in an English grammar class<BR>\n" );
document.write( "discrete<BR>\n" );
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document.write( "Binomial Probability <BR>\n" );
document.write( "Find the indicated binomial probabilities. Round to the nearest 3 decimal places. <BR>\n" );
document.write( "4. Hot Shot Battery manufactures batteries in batches of 15 with a defective rate of 10%\r<BR>\n" );
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document.write( "a. What is the probability that exactly 2 will be defective?<BR>\n" );
document.write( "15C2(0.1)^2(0.9)^13 = 0.267<BR>\n" );
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document.write( "b. What is the probability that between 2 and 4 inclusive will be defective?<BR>\n" );
document.write( "binomcdf(15,0.1,4) - binomcdf(15,0.1,1) = 0.438<BR>\n" );
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document.write( "c. What is the probability that no batteries will be defective?<BR>\n" );
document.write( "(0.9)^15 = 0.206<BR>\n" );
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document.write( "d. Find the mean &#61549; <BR>\n" );
document.write( "np = 15*0.1 = 1.5<BR>\n" );
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document.write( "e. Find the variance &#61555;2<BR>\n" );
document.write( "npq = 1.5*.9 = 1.35<BR>\n" );
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document.write( "5. A Multiple-choice test has 15 questions with each having 4 possible answers with one correct. Assume a student answers every question.<BR>\n" );
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document.write( "a. What is the probability of getting exactly 5 correct answers? <BR>\n" );
document.write( "15C5(1/4)^5(3/4)^10 = 0.165<BR>\n" );
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document.write( "b. What is the probability of getting less than 6 correct answers?<BR>\n" );
document.write( "binomcdf(15,0.25,5) = 0.852<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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