document.write( "Question 1200895: Given 30 questions, if the minimum passing grade is 21, what is the exact probability that a student passes the exam if they are guessing on each question with a 35% chance of guessing correctly? \n" ); document.write( "

Algebra.Com's Answer #835122 by ikleyn(52946) $\"\"$ $\"About$

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\n" ); document.write( "Given 30 questions, if the minimum passing grade is 21, what is the exact probability
\n" ); document.write( "that a student passes the exam if they are guessing on each question with a 35% chance
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document.write( "The given problem is a Binomial distribution probability problem.\r\n" );
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document.write( "It asks about the probability of getting 21 or more successful trials in the\r\n" );
document.write( "experiment with 30 trials and the probability of success 0.35 in each individual trial.\r\n" );
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document.write( "The formula for the probability is\r\n" );
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document.write( "    P = P(n=30; k>=21; p=0.35) = .\r\n" );
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document.write( "The simplest way to calculate it is to use the online calculator at this site\r\n" );
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document.write( "https://stattrek.com/online-calculator/binomial.aspx\r\n" );
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document.write( "It provides nice instructions  and  a convenient input and output for all relevant options/cases.\r\n" );
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document.write( "     The resulting number is P = P(n=30, k>=21, p= 0.35) = 0.0001  (rounded).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see many similar (or different) solved problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Simple and simplest probability problems on Binomial distribution \r
\n" ); document.write( "\n" ); document.write( "    - Typical binomial distribution probability problems \r
\n" ); document.write( "\n" ); document.write( "    - How to calculate Binomial probabilities with Technology (using MS Excel) \r
\n" ); document.write( "\n" ); document.write( "    - Solving problems on Binomial distribution with Technology (using MS Excel) \r
\n" ); document.write( "\n" ); document.write( "    - Solving problems on Binomial distribution with Technology (using online solver) \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "After reading these lessons, you will be able to solve such problems on your own, \r
\n" ); document.write( "\n" ); document.write( "which is your PRIMARY MAJOR GOAL visiting this forum (I believe).\r
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