document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=235963>Question 235963</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have answered some of these but am not for sure if they are correct, the others, I am not for sure.  Thanks in advance\r<BR>\n" );
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document.write( "1.   Decide whether the random variable is discrete or continuous.\r<BR>\n" );
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document.write( "a.The number of bottles of water drunk in Florida in August 2008<BR>\n" );
document.write( "      Discrete\r<BR>\n" );
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document.write( "b.The number of  wasps in the lab test nest<BR>\n" );
document.write( "      Discrete\r<BR>\n" );
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document.write( "c.The height of sophomores in a required US History class at Ridgemont High in 2008<BR>\n" );
document.write( "      Continuous <BR>\n" );
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document.write( "d.The number of  players on the Washington Redskins<BR>\n" );
document.write( "       Discrete\r<BR>\n" );
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document.write( "e.The speed of cars starting in the Darlington 500 in 2008<BR>\n" );
document.write( "      Continuous   <BR>\n" );
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document.write( "2.  Decide whether the distribution is a probability distribution. If it is not a probability distribution, identify the property that is not satisfied. \r<BR>\n" );
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document.write( "x	P(x)<BR>\n" );
document.write( "1	0.200<BR>\n" );
document.write( "2	0.238<BR>\n" );
document.write( "3	0.245<BR>\n" );
document.write( "4	0.307\r<BR>\n" );
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document.write( "No it is not a probability distribution. It does not equal 1.<BR>\n" );
document.write( "0.200 + 0.238 + 0.245 + 0.307 = 0.99\r<BR>\n" );
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document.write( "	 \r<BR>\n" );
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document.write( "Section 4.2: Binomial Probability\r<BR>\n" );
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document.write( "4. In a local college, 60% of the math majors are women. Fifteen math majors are chosen at random.  (1 points each)\r<BR>\n" );
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document.write( "a. What is the probability that exactly 6 are women?\r<BR>\n" );
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document.write( "b. What is the probability that 5 or less women are selected?\r<BR>\n" );
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document.write( "c. What is the probability that 10 women are selected?<BR>\n" );
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document.write( "d.   Find the mean &#61549; \r<BR>\n" );
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document.write( "e.   Find the variance &#61555;2    \r<BR>\n" );
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document.write( "5. A multiple choice test has 20 questions with each having 4 possible answers with one correct. Assume a student randomly guesses the  answer to every question. (2.5 points each)\r<BR>\n" );
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document.write( "a. What is the probability of getting exactly 11 correct answers?\r<BR>\n" );
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document.write( "b. What is the probability of getting less than 9 correct answers?<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 #173735 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=173735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. Decide whether the random variable is discrete or continuous. <BR>\n" );
document.write( "a.The number of bottles of water drunk in Florida in August 2008<BR>\n" );
document.write( "Discrete <BR>\n" );
document.write( "OK<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "b.The number of wasps in the lab test nest<BR>\n" );
document.write( "Discrete<BR>\n" );
document.write( "OK<BR>\n" );
document.write( "----------------------- <BR>\n" );
document.write( "c.The height of sophomores in a required US History class at Ridgemont High in 2008<BR>\n" );
document.write( "Continuous<BR>\n" );
document.write( "OK<BR>\n" );
document.write( "----------------------------- \r<BR>\n" );
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document.write( "d.The number of players on the Washington Redskins<BR>\n" );
document.write( "Discrete<BR>\n" );
document.write( "OK<BR>\n" );
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document.write( "e.The speed of cars starting in the Darlington 500 in 2008<BR>\n" );
document.write( "Continuous<BR>\n" );
document.write( "OK<BR>\n" );
document.write( "-------------------------- \r<BR>\n" );
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document.write( "2. Decide whether the distribution is a probability distribution. If it is not a probability distribution, identify the property that is not satisfied. <BR>\n" );
document.write( "x P(x)<BR>\n" );
document.write( "1 0.200<BR>\n" );
document.write( "2 0.238<BR>\n" );
document.write( "3 0.245<BR>\n" );
document.write( "4 0.307 <BR>\n" );
document.write( "No it is not a probability distribution. It does not equal 1.<BR>\n" );
document.write( "0.200 + 0.238 + 0.245 + 0.307 = 0.99 <BR>\n" );
document.write( "OK<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Section 4.2: Binomial Probability \r<BR>\n" );
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document.write( "4. In a local college, 60% of the math majors are women. Fifteen math majors are chosen at random. (1 points each) <BR>\n" );
document.write( "a. What is the probability that exactly 6 are women?<BR>\n" );
document.write( "P(x=6) = 15C6(0.6)^6*(0.4)^9 = binompdf(15,0.6,6)= 0.0612<BR>\n" );
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document.write( "b. What is the probability that 5 or less women are selected?<BR>\n" );
document.write( "P(0<= x <= 5) = binomcdf(16,0.6,5) = 0.0338 <BR>\n" );
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document.write( "c. What is the probability that 10 women are selected?<BR>\n" );
document.write( "P(x=10) = binompdf(15,0.6,10) = 0.1859<BR>\n" );
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document.write( "d. Find the mean <BR>\n" );
document.write( "mean = np = 15*0.6 = 9<BR>\n" );
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document.write( "e. Find the variance  <BR>\n" );
document.write( "variance = npq = 9*0.4 = 3.6<BR>\n" );
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document.write( "5. A multiple choice test has 20 questions with each having 4 possible answers with one correct. Assume a student randomly guesses the answer to every question. (2.5 points each) <BR>\n" );
document.write( "a. What is the probability of getting exactly 11 correct answers?<BR>\n" );
document.write( "binompdf(20,0.25,11) = 0.0030<BR>\n" );
document.write( "b. What is the probability of getting less than 9 correct answers?<BR>\n" );
document.write( "binomcdf(20,0.25,8) = 0.9591<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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