document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193193>Question 1193193</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A large department store offers online ordering. The customer can select one of four delivery options:\r<BR>\n" );
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document.write( "a) expedited overnight delivery\r<BR>\n" );
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document.write( "b) expedited second-business-day delivery\r<BR>\n" );
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document.write( "c) standard delivery, or\r<BR>\n" );
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document.write( "d) delivery to the nearest store for customer pickup.\r<BR>\n" );
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document.write( "Suppose that the probability of an overnight delivery selection is 0.3, the probability of a second-day delivery selection is 0.1, and the probability of standard-delivery is 0.2. Find the following probabilities.\r<BR>\n" );
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document.write( "i.) The probability that a randomly selected online purchase selects delivery to the nearest store for customer pickup.\r<BR>\n" );
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document.write( "ii.) The probability that the customer selects a form of expedited delivery.\r<BR>\n" );
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document.write( "iii.) The probability that either standard delivery or delivery to the nearest store is selected.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848852 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1987)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=848852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> **i.) Probability of selecting delivery to the nearest store for customer pickup.**\r<BR>\n" );
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document.write( "* **Given:**<BR>\n" );
document.write( "    * Probability of overnight delivery: 0.3<BR>\n" );
document.write( "    * Probability of second-day delivery: 0.1<BR>\n" );
document.write( "    * Probability of standard delivery: 0.2\r<BR>\n" );
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document.write( "* **Calculate the probability of pickup:**<BR>\n" );
document.write( "    * Probability of pickup = 1 - (Probability of overnight + Probability of second-day + Probability of standard)<BR>\n" );
document.write( "    * Probability of pickup = 1 - (0.3 + 0.1 + 0.2) = 1 - 0.6 = 0.4\r<BR>\n" );
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document.write( "**Therefore, the probability of selecting delivery to the nearest store for customer pickup is 0.4.**\r<BR>\n" );
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document.write( "**ii.) Probability that the customer selects a form of expedited delivery.**\r<BR>\n" );
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document.write( "* **Probability of expedited delivery = Probability of overnight + Probability of second-day**<BR>\n" );
document.write( "* Probability of expedited delivery = 0.3 + 0.1 = 0.4\r<BR>\n" );
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document.write( "**Therefore, the probability that the customer selects a form of expedited delivery is 0.4.**\r<BR>\n" );
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document.write( "**iii.) Probability that either standard delivery or delivery to the nearest store is selected.**\r<BR>\n" );
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document.write( "* **Probability of standard or pickup = Probability of standard + Probability of pickup**<BR>\n" );
document.write( "* Probability of standard or pickup = 0.2 + 0.4 = 0.6\r<BR>\n" );
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document.write( "**Therefore, the probability that either standard delivery or delivery to the nearest store is selected is 0.6.**<BR>\n" );
document.write( " </SPAN>\n" );
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