document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=632572>Question 632572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a survey, it was reported that 33% of women believe in the existence of aliens. If 100 women are selected at random, what is the probability that more than 45% of them will say that they believe in aliens? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398353 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=398353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X~Binomial(100,0.33)<BR>\n" );
document.write( "Look for P(46 or greater) in the table below:<BR>\n" );
document.write( "The answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.0046293%29 ALIGN=MIDDLE  ALT=\"highlight%280.0046293%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Note: The answer is slightly different if we use Normal distribution to approximate the probability. the answer 0.0046293 is exact because all the requirements of Binomial Distribution are satisfied to solve the probability.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x          P(x)           P(x or fewer)   P(x or greater)<BR>\n" );
document.write( "0	0.0000000	0.0000000	1.0000000<BR>\n" );
document.write( "1	0.0000000	0.0000000	1.0000000<BR>\n" );
document.write( "2	0.0000000	0.0000000	1.0000000<BR>\n" );
document.write( "3	0.0000000	0.0000000	1.0000000<BR>\n" );
document.write( "4	0.0000000	0.0000000	1.0000000<BR>\n" );
document.write( "5	0.0000000	0.0000000	1.0000000<BR>\n" );
document.write( "6	0.0000000	0.0000000	1.0000000<BR>\n" );
document.write( "7	0.0000000	0.0000000	1.0000000<BR>\n" );
document.write( "8	0.0000000	0.0000000	1.0000000<BR>\n" );
document.write( "9	0.0000000	0.0000000	1.0000000<BR>\n" );
document.write( "10	0.0000001	0.0000001	1.0000000<BR>\n" );
document.write( "11	0.0000002	0.0000003	0.9999999<BR>\n" );
document.write( "12	0.0000009	0.0000012	0.9999997<BR>\n" );
document.write( "13	0.0000029	0.0000041	0.9999988<BR>\n" );
document.write( "14	0.0000088	0.0000129	0.9999959<BR>\n" );
document.write( "15	0.0000250	0.0000379	0.9999871<BR>\n" );
document.write( "16	0.0000654	0.0001033	0.9999621<BR>\n" );
document.write( "17	0.0001591	0.0002624	0.9998967<BR>\n" );
document.write( "18	0.0003614	0.0006239	0.9997376<BR>\n" );
document.write( "19	0.0007683	0.0013921	0.9993761<BR>\n" );
document.write( "20	0.0015325	0.0029247	0.9986079<BR>\n" );
document.write( "21	0.0028756	0.0058003	0.9970753<BR>\n" );
document.write( "22	0.0050859	0.0108862	0.9941997<BR>\n" );
document.write( "23	0.0084952	0.0193814	0.9891138<BR>\n" );
document.write( "24	0.0134243	0.0328057	0.9806186<BR>\n" );
document.write( "25	0.0201004	0.0529061	0.9671943<BR>\n" );
document.write( "26	0.0285583	0.0814644	0.9470939<BR>\n" );
document.write( "27	0.0385513	0.1200157	0.9185356<BR>\n" );
document.write( "28	0.0495043	0.1695200	0.8799843<BR>\n" );
document.write( "29	0.0605364	0.2300564	0.8304800<BR>\n" );
document.write( "30	0.0705656	0.3006220	0.7699436<BR>\n" );
document.write( "31	0.0784817	0.3791037	0.6993780<BR>\n" );
document.write( "32	0.0833502	0.4624539	0.6208963<BR>\n" );
document.write( "33	0.0845942	0.5470481	0.5375461<BR>\n" );
document.write( "34	0.0821062	0.6291543	0.4529519<BR>\n" );
document.write( "35	0.0762590	0.7054133	0.3708457<BR>\n" );
document.write( "36	0.0678174	0.7732306	0.2945867<BR>\n" );
document.write( "37	0.0577774	0.8310080	0.2267694<BR>\n" );
document.write( "38	0.0471796	0.8781876	0.1689920<BR>\n" );
document.write( "39	0.0369420	0.9151296	0.1218124<BR>\n" );
document.write( "40	0.0277479	0.9428775	0.0848704<BR>\n" );
document.write( "41	0.0200003	0.9628778	0.0571225<BR>\n" );
document.write( "42	0.0138381	0.9767159	0.0371222<BR>\n" );
document.write( "43	0.0091934	0.9859093	0.0232841<BR>\n" );
document.write( "44	0.0058659	0.9917753	0.0140907<BR>\n" );
document.write( "45	0.0035954	0.9953707	0.0082247<BR>\n" );
document.write( "46	0.0021174	0.9974881	<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.0046293%29 ALIGN=MIDDLE  ALT=\"highlight%280.0046293%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "47	0.0011982	0.9986863	0.0025119<BR>\n" );
document.write( "48	0.0006516	0.9993379	0.0013137<BR>\n" );
document.write( "49	0.0003406	0.9996785	0.0006621<BR>\n" );
document.write( "50	0.0001711	0.9998497	0.0003215<BR>\n" );
document.write( "51	0.0000826	0.9999323	0.0001503<BR>\n" );
document.write( "52	0.0000383	0.9999706	0.0000677<BR>\n" );
document.write( "53	0.0000171	0.9999877	0.0000294<BR>\n" );
document.write( "54	0.0000073	0.9999951	0.0000123<BR>\n" );
document.write( "55	0.0000030	0.9999981	0.0000049<BR>\n" );
document.write( "56	0.0000012	0.9999993	0.0000019<BR>\n" );
document.write( "57	0.0000005	0.9999997	0.0000007<BR>\n" );
document.write( "58	0.0000002	0.9999999	0.0000003<BR>\n" );
document.write( "59	0.0000001	1.0000000	0.0000001<BR>\n" );
document.write( "60	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "61	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "62	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "63	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "64	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "65	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "66	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "67	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "68	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "69	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "70	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "71	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "72	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "73	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "74	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "75	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "76	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "77	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "78	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "79	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "80	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "81	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "82	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "83	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "84	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "85	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "86	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "87	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "88	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "89	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "90	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "91	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "92	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "93	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "94	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "95	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "96	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "97	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "98	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "99	0.0000000	1.0000000	0.0000000<BR>\n" );
document.write( "100	0.0000000	1.0000000	0.0000000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );