document.write( "Question 1206645: Suppose that about 85% of graduating students attend their graduation. A group of 21 graduating students is randomly chosen.
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document.write( "In words, define the Random Variable X.
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document.write( "the number of graduating students that attend graduation
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document.write( "the number of people attending graduation
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document.write( "the number of graduating students that are not attending graduation
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document.write( "the number of graduates
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document.write( "List the values that X may take on.
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document.write( "X = 1, 2, 3, . . ., 19, 20, 21
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document.write( "X = 0, 1, 2, . . ., 83, 84, 85
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document.write( "X = 0, 1, 2, . . ., 19, 20, 21
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document.write( "X = 1, 2, 3, . . ., 83, 84, 85
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document.write( "Give the distribution of X.
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document.write( "How many students are expected to attend their graduation? (Round your answer to the nearest whole number.)
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document.write( "Find the probability that 17 or 18 attend. (Round your answer to four decimal places.) \n" );
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Algebra.Com's Answer #844232 by ikleyn(52805)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Suppose that about 85% of graduating students attend their graduation. A group of 21 graduating students is randomly chosen. \n" ); document.write( "(a) In words, define the Random Variable X. \n" ); document.write( "the number of graduating students that attend graduation \n" ); document.write( "the number of people attending graduation \n" ); document.write( "the number of graduating students that are not attending graduation \n" ); document.write( "the number of graduates \n" ); document.write( "(b) List the values that X may take on. \n" ); document.write( "X = 1, 2, 3, . . ., 19, 20, 21 \n" ); document.write( "X = 0, 1, 2, . . ., 83, 84, 85 \n" ); document.write( "X = 0, 1, 2, . . ., 19, 20, 21 \n" ); document.write( "X = 1, 2, 3, . . ., 83, 84, 85 \n" ); document.write( "(c) Give the distribution of X. \n" ); document.write( "(d) How many students are expected to attend their graduation? (Round your answer to the nearest whole number.) \n" ); document.write( "(e) Find the probability that 17 or 18 attend. (Round your answer to four decimal places.) \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "(a) In words, define the Random Variable X.\r\n" ); document.write( " the number of graduating students that attend graduation <<<---===\r\n" ); document.write( " the number of people attending graduation\r\n" ); document.write( " the number of graduating students that are not attending graduation\r\n" ); document.write( " the number of graduates\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(b) List the values that X may take on.\r\n" ); document.write( " X = 1, 2, 3, . . ., 19, 20, 21\r\n" ); document.write( " X = 0, 1, 2, . . ., 83, 84, 85\r\n" ); document.write( " X = 0, 1, 2, . . ., 19, 20, 21 <<<---===\r\n" ); document.write( " X = 1, 2, 3, . . ., 83, 84, 85\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(c) It is the binomial distribution with n= 21 trials and p= 0.85 the probability\r\n" ); document.write( " of success for each individual trial.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(d) \"how many students are expected\" is the mathematical expectation.\r\n" ); document.write( "\r\n" ); document.write( " For a binomial distribution it is E = n*p = 21*0.85 = 17.85,\r\n" ); document.write( " or 18, rounded to the closest integer.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(e) To find P(17 or 18), use the standard formula of binomial distribution\r\n" ); document.write( "\r\n" ); document.write( " P(17 or 18) =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |