document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178444>Question 1178444</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let Y have a chi-square distribution with 15 degrees of freedom. Find the following probabilities.<BR>\n" );
document.write( "(a). P (Y ≤ y0) = 0.025<BR>\n" );
document.write( "(b). P (a < Y < b) = 0.95\r<BR>\n" );
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document.write( "(c). P (Y ≥ 22.307).\r<BR>\n" );
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document.write( "thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813776 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) P (Y ≤ y0) = 0.025\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B0%5D+=+6.26 ALIGN=MIDDLE  ALT=\"y%5B0%5D+=+6.26\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(b) P (a < Y < b) = 0.95\r<BR>\n" );
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document.write( "==> a = 6.26, b = 27.5\r<BR>\n" );
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document.write( "(c) P (Y ≥ 22.307) = 0.10\r<BR>\n" );
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document.write( "***Probabilities were obtained from https://stattrek.com/online-calculator/chi-square.aspx<BR>\n" );
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