document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449994>Question 449994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6.   A spinner that has 3 sections of equal area, numbered from 1 to 3, is spun two times in succession. Which is NOT part of the sample space?  (2 points)<BR>\n" );
document.write( "(1, 3)<BR>\n" );
document.write( "(3, 3)<BR>\n" );
document.write( "(3, 2)<BR>\n" );
document.write( "(3, 4)<BR>\n" );
document.write( "7.   A local weather forecaster is accurate 85% of the time when predicting precipitation for the day. What is the probability that she will make correct precipitation predictions 4 days in a row? Round to the nearest whole percent.  (2 points)<BR>\n" );
document.write( "about 54%<BR>\n" );
document.write( "about 53%<BR>\n" );
document.write( "about 52%<BR>\n" );
document.write( "about 47%<BR>\n" );
document.write( "8.   A bag contains 6 purple marbles and 7 white marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is white and the second one is purple?  (2 points)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "9.   In how many different ways can you arrange 7 books on a shelf?  (2 points)<BR>\n" );
document.write( "823,543 ways<BR>\n" );
document.write( "5,040 ways<BR>\n" );
document.write( "720 ways<BR>\n" );
document.write( "28 ways<BR>\n" );
document.write( "Does the problem involve permutations or combination? Explain. <BR>\n" );
document.write( "10.   In how many different ways could a committee of 5 students be chosen from a class of 25 students?<BR>\n" );
document.write( " (2 points)<BR>\n" );
document.write( "Permutations; the order matters.<BR>\n" );
document.write( "Permutations; the order does not matter.<BR>\n" );
document.write( "Combinations; the order does not matter.<BR>\n" );
document.write( "Combinations; the order matters.<BR>\n" );
document.write( "11.   You work at a T-shirt printing business. Of the 2,800 T-shirts shipped, 396 have a defect. What is the experimental probability that a T-shirt has a defect? Write your answer as a percent, to the nearest tenth of a percent.  (2 points)<BR>\n" );
document.write( "15.3%<BR>\n" );
document.write( "14.1%<BR>\n" );
document.write( "11.7%<BR>\n" );
document.write( "19.4%<BR>\n" );
document.write( "Is the sample described a good sample? Explain.<BR>\n" );
document.write( "12.   To find the average income of an adult in the United States, 250 workers in Tennessee are questioned.  (2 points)<BR>\n" );
document.write( "No; the sample is not random.<BR>\n" );
document.write( "Yes; the sample is selected at random from the population to be studied.<BR>\n" );
document.write( "No; the sample is not selected from the population to be studied.<BR>\n" );
document.write( "13.   A worker takes a random sample of 200 bolts and finds that 30 of them are either too long or too short, thus making them unusable. Estimate the number of unusable bolts in a production of 17,000 bolts.  (2 points)<BR>\n" );
document.write( "1,610 bolts<BR>\n" );
document.write( "2,550 bolts<BR>\n" );
document.write( "2, 140 bolts<BR>\n" );
document.write( "2,260 bolts<BR>\n" );
document.write( "14.   Out of a random sample of 330 apples, 25 are rated \"AAA.\" Estimate the number of apples that would be rated \"AAA\" in a crop of 57,000 apples.  (2 points)<BR>\n" );
document.write( "about 432 apples<BR>\n" );
document.write( "about 4,318 apples<BR>\n" );
document.write( "about 43,180 apples<BR>\n" );
document.write( "about 8,636 apples\r<BR>\n" );
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document.write( "I have done a few of these problems, But honestly I am stuck. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309558 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=309558\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A spinner that has 3 sections of equal area, numbered from 1 to 3, is spun two times in succession. Which is NOT part of the sample space? (2 points)<BR>\n" );
document.write( "(1, 3)<BR>\n" );
document.write( "(3, 3)<BR>\n" );
document.write( "(3, 2)<BR>\n" );
document.write( "(3, 4)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Ans: (3,4)<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "7. A local weather forecaster is accurate 85% of the time when predicting precipitation for the day. What is the probability that she will make correct precipitation predictions 4 days in a row? Round to the nearest whole percent. (2 points)<BR>\n" );
document.write( "about 54%<BR>\n" );
document.write( "about 53%<BR>\n" );
document.write( "about 52%<BR>\n" );
document.write( "about 47%<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Ans: 0.85^4 = 52%<BR>\n" );
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document.write( "8. A bag contains 6 purple marbles and 7 white marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is white and the second one is purple? (2 points) <BR>\n" );
document.write( "Ans: (7/13)(6/12)<BR>\n" );
document.write( "==========================\r<BR>\n" );
document.write( "\n" );
document.write( "9. In how many different ways can you arrange 7 books on a shelf? (2 points)<BR>\n" );
document.write( "823,543 ways<BR>\n" );
document.write( "5,040 ways<BR>\n" );
document.write( "720 ways<BR>\n" );
document.write( "28 ways<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Ans: 7! = 5040<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Does the problem involve permutations or combination? Explain.<BR>\n" );
document.write( "Ans: permutations because it involves counting arrangements, not groups.<BR>\n" );
document.write( "==================================== <BR>\n" );
document.write( "10. In how many different ways could a committee of 5 students be chosen from a class of 25 students?<BR>\n" );
document.write( "(2 points)<BR>\n" );
document.write( "Permutations; the order matters.<BR>\n" );
document.write( "Permutations; the order does not matter.<BR>\n" );
document.write( "Combinations; the order does not matter.<BR>\n" );
document.write( "Combinations; the order matters.<BR>\n" );
document.write( "Ans: combination; the order does not matter<BR>\n" );
document.write( "==================================================<BR>\n" );
document.write( "11. You work at a T-shirt printing business. Of the 2,800 T-shirts shipped, 396 have a defect. What is the experimental probability that a T-shirt has a defect? Write your answer as a percent, to the nearest tenth of a percent. (2 points)<BR>\n" );
document.write( "15.3%<BR>\n" );
document.write( "14.1%<BR>\n" );
document.write( "11.7%<BR>\n" );
document.write( "19.4%<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Ans: 396/2800 = 14.1%<BR>\n" );
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document.write( "Is the sample described a good sample? Explain.<BR>\n" );
document.write( "=======================================================<BR>\n" );
document.write( "12. To find the average income of an adult in the United States, 250 workers in Tennessee are questioned. (2 points)<BR>\n" );
document.write( "No; the sample is not random.<BR>\n" );
document.write( "Yes; the sample is selected at random from the population to be studied.<BR>\n" );
document.write( "No; the sample is not selected from the population to be studied.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Comment: I'll leave that to you.<BR>\n" );
document.write( "==============================================<BR>\n" );
document.write( "13. A worker takes a random sample of 200 bolts and finds that 30 of them are either too long or too short, thus making them unusable. Estimate the number of unusable bolts in a production of 17,000 bolts. (2 points)<BR>\n" );
document.write( "1,610 bolts<BR>\n" );
document.write( "2,550 bolts<BR>\n" );
document.write( "2, 140 bolts<BR>\n" );
document.write( "2,260 bolts<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Ans: (30/200)17000 = 2550<BR>\n" );
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document.write( "14. Out of a random sample of 330 apples, 25 are rated \"AAA.\" Estimate the number of apples that would be rated \"AAA\" in a crop of 57,000 apples. (2 points)<BR>\n" );
document.write( "about 432 apples<BR>\n" );
document.write( "about 4,318 apples<BR>\n" );
document.write( "about 43,180 apples<BR>\n" );
document.write( "about 8,636 apples<BR>\n" );
document.write( "Ans:(25/33)57000 = 43182 when rounded up<BR>\n" );
document.write( "======================= <BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );