document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207750>Question 207750</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Section 4.1 Probability Distribution<BR>\n" );
document.write( "1.   Decide whether the random variable is discrete or continuous.<BR>\n" );
document.write( "(References: example 1 page 195, end of section exercises  13 – 20 page 201)  (1 points per each part)\r<BR>\n" );
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document.write( "a.	The cost of a randomly selected apple\r<BR>\n" );
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document.write( "b.	The height of randomly selected Statistics student\r<BR>\n" );
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document.write( "c.	The number of books in the local college library\r<BR>\n" );
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document.write( "d.	The braking time of a motorcycle\r<BR>\n" );
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document.write( "e.	The number of cell phone call between Bagdad and Ft Bragg, NC on Christmas day in the current year\r<BR>\n" );
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document.write( "2.  Decide whether the distribution is a probability distribution. If it is not as probability distribution, identify the property that is not satisfied. (References: example 3 and 4   page 197, end of section exercises 25 - 28 page 202 - 203)  <BR>\n" );
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document.write( "x	P(x)<BR>\n" );
document.write( "0	0.49<BR>\n" );
document.write( "1	0.05<BR>\n" );
document.write( "2	0.32<BR>\n" );
document.write( "3	0.07<BR>\n" );
document.write( "4	0.07\r<BR>\n" );
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document.write( "	 \r<BR>\n" );
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document.write( "3.	A batch of 4 computers and the probabilities associated with the defectives in the group. Complete the table shown and find the mean, variance, and standard deviation for the distribution. Round a – c to 2 decimal places.<BR>\n" );
document.write( "(References: example 5 and 6 page 198 - 199, end of section exercises 29 - 34 page 203)  \r<BR>\n" );
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document.write( "x	P(x)	x &#61655; P(x)	x - &#61549;	(x - &#61549;)2	P(x) &#61655; (x - &#61549;)2<BR>\n" );
document.write( "0	0.34				<BR>\n" );
document.write( "1	0.17				<BR>\n" );
document.write( "2	0.26				<BR>\n" );
document.write( "3	0.21				<BR>\n" );
document.write( "4	0.02				<BR>\n" );
document.write( "		&#61669; x &#61655; P(x) = 			&#61669; P(x) &#61655; (x - &#61549;)2 = <BR>\n" );
document.write( "(5 points for table)<BR>\n" );
document.write( "a.	Mean  &#61549;    <BR>\n" );
document.write( " (2 points)<BR>\n" );
document.write( "= 1.596    \r<BR>\n" );
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document.write( "b.	Variance &#61555;2  <BR>\n" );
document.write( "(2 points)<BR>\n" );
document.write( "=1.204784\r<BR>\n" );
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document.write( "Section 4.2: Binomial Probability\r<BR>\n" );
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document.write( "Find the indicated binomial probabilities. Round to the nearest 3 decimal places. (References: example 6 page 212, end of section exercises 15 - 24 page 216 - 217)  For part d and e: (References: example 8 page 214)\r<BR>\n" );
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document.write( "4.	The probability that a pumpkin seed will germinate is 70%. A gardener plants in batches of 12.  (1 points each)<BR>\n" );
document.write( "a.	What is the probability that exactly 10 seeds will germinate?\r<BR>\n" );
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document.write( "	     b.   What is the probability that 10 or more will germinate?<BR>\n" );
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document.write( "	     c.   What is the probability that all seeds will germinate?\r<BR>\n" );
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document.write( "               d.   Find the mean &#61549;<BR>\n" );
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document.write( "     e.  Find the variance &#61555;2    <BR>\n" );
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document.write( "5.	A True-False test has 20 questions with each having 2 possible answers with one correct. Assume a student answers every question. <BR>\n" );
document.write( "a. What is the probability of getting exactly 9 correct answers?\r<BR>\n" );
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document.write( "b. What is the probability of getting less than 6 correct answers?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157162 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=157162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Section 4.1 Probability Distribution<BR>\n" );
document.write( "1.   Decide whether the random variable is discrete or continuous.<BR>\n" );
document.write( "(References: example 1 page 195, end of section exercises  13 – 20 page 201)  (1 points per each part)\r<BR>\n" );
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document.write( "a.	The cost of a randomly selected apple: discrete<BR>\n" );
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document.write( "b.	The height of randomly selected Statistics student: continuous<BR>\n" );
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document.write( "c.	The number of books in the local college library: discrete<BR>\n" );
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document.write( "d.	The braking time of a motorcycle: discrete<BR>\n" );
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document.write( "e.	The number of cell phone call between Bagdad and Ft Bragg, NC on Christmas day in the current year: discrete<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. (References: example 3 and 4   page 197, end of section exercises 25 - 28 page 202 - 203)  <BR>\n" );
document.write( " 	<BR>\n" );
document.write( "x	P(x)<BR>\n" );
document.write( "0	0.49<BR>\n" );
document.write( "1	0.05<BR>\n" );
document.write( "2	0.32<BR>\n" );
document.write( "3	0.07<BR>\n" );
document.write( "4	0.07<BR>\n" );
document.write( "---<BR>\n" );
document.write( "It is a probability distribution<BR>\n" );
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document.write( "3.	A batch of 4 computers and the probabilities associated with the defectives in the group. Complete the table shown and find the mean, variance, and standard deviation for the distribution. Round a – c to 2 decimal places.<BR>\n" );
document.write( "(References: example 5 and 6 page 198 - 199, end of section exercises 29 - 34 page 203)  \r<BR>\n" );
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document.write( "x P(x).. x &#61655; P(x)... x - &#61549; (x - &#61549;)2 P(x) &#61655; (x - &#61549;)2<BR>\n" );
document.write( "0 0.34.......0..........?...........?........? <BR>\n" );
document.write( "1 0.17 <BR>\n" );
document.write( "2 0.26 <BR>\n" );
document.write( "3 0.21 <BR>\n" );
document.write( "4 0.02 <BR>\n" );
document.write( "&#61669; x &#61655; P(x) = &#61669; P(x) &#61655; (x - &#61549;)2 = <BR>\n" );
document.write( "(5 points for table)<BR>\n" );
document.write( "a. Mean &#61549; <BR>\n" );
document.write( "(2 points)<BR>\n" );
document.write( "= 1.596 <BR>\n" );
document.write( "b. Variance &#61555;2 <BR>\n" );
document.write( "(2 points)<BR>\n" );
document.write( "=1.204784 \r<BR>\n" );
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document.write( "Section 4.2: Binomial Probability\r<BR>\n" );
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document.write( "Find the indicated binomial probabilities. Round to the nearest 3 decimal places. (References: example 6 page 212, end of section exercises 15 - 24 page 216 - 217)  For part d and e: (References: example 8 page 214)\r<BR>\n" );
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document.write( "4.	The probability that a pumpkin seed will germinate is 70%. A gardener plants in batches of 12.  (1 points each)<BR>\n" );
document.write( "a.	What is the probability that exactly 10 seeds will germinate?<BR>\n" );
document.write( "P(x=10) = 12C10(0.7)^10(0.3)^2 = 66(0.02825)(0.09) = 0.1678<BR>\n" );
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document.write( "	     b.   What is the probability that 10 or more will germinate?<BR>\n" );
document.write( "P(10<=x<=12) = 0.2528<BR>\n" );
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document.write( "	     c.   What is the probability that all seeds will germinate?<BR>\n" );
document.write( "P(x=12) = 0.7^12 = 0.0138..<BR>\n" );
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document.write( "               d.   Find the mean &#61549;<BR>\n" );
document.write( "Ans: ?<BR>\n" );
document.write( "     <BR>\n" );
document.write( "     e.  Find the variance &#61555;2 <BR>\n" );
document.write( "Ans: ?<BR>\n" );
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document.write( "5.	A True-False test has 20 questions with each having 2 possible answers with one correct. Assume a student answers every question. <BR>\n" );
document.write( "a. What is the probability of getting exactly 9 correct answers?<BR>\n" );
document.write( "P(x=9) = 20C9(1/2)^9(1/2)^11 = 167960(1/2^20) = 0.1602<BR>\n" );
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document.write( "b. What is the probability of getting less than 6 correct answers?<BR>\n" );
document.write( "P(0<= x <= 5) = 0.027<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.	\r<BR>\n" );
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