document.write( "Question 1200131: The age of children in kindergarten on the first day of school is uniformly distributed between 4.98 and 5.87 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible.\r
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\n" ); document.write( "\n" ); document.write( "The mean of this distribution is ________
\n" ); document.write( "The standard deviation is ________
\n" ); document.write( "What is the probability that the child will be older than 5.1 years old? ______
\n" ); document.write( "The probability that the child will be between 5.18 and 5.58 years old is ______
\n" ); document.write( "If such a child is at the 53rd percentile, how old is that child?_________
\n" ); document.write( " years old. \n" ); document.write( "

Algebra.Com's Answer #834167 by ikleyn(52864) $\"\"$ $\"About$

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\n" ); document.write( "The age of children in kindergarten on the first day of school is uniformly distributed
\n" ); document.write( "between 4.98 and 5.87 years old. A first time kindergarten child is selected at random.
\n" ); document.write( "Round answers to 4 decimal places if possible.\r
\n" ); document.write( "\n" ); document.write( "(a) The mean of this distribution is ________
\n" ); document.write( "(b) The standard deviation is ________
\n" ); document.write( "(c) What is the probability that the child will be older than 5.1 years old? ______
\n" ); document.write( "(d) The probability that the child will be between 5.18 and 5.58 years old is ______
\n" ); document.write( "(e) If such a child is at the 53rd percentile, how old is that child?_________
\n" ); document.write( "years old.
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\n" ); document.write( "\n" ); document.write( " For full information about uniform continuous distribution on interval [a,b]\r
\n" ); document.write( "\n" ); document.write( " in clear and compact form see this web-site https://www.itl.nist.gov/div898/handbook/eda/section3/eda3662.htm\r
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\n" ); document.write( "\n" ); document.write( "For (a) and (b), I will use the formulas from there.\r
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document.write( "(a)  Mean =  =  = use your calculator.\r\n" );
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document.write( "(b)  The standard deviation =  =  = use your calculator.\r\n" );
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document.write( "(c)  The base interval is (5.87-4.98) years.  The working interval (the gap) from 5.1 to 5.87 is (5.87-5.1) years.\r\n" );
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document.write( "     The probability in this part (c) is the ratio P = \r\n" );
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document.write( "         P =  =  = use your calculator.\r\n" );
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document.write( "(d)  The base interval is (5.87-4.98) years.  The working interval (the gap) from 5.18 to 5.58 is (5.58-5.18) years.\r\n" );
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document.write( "     The probability in this part (d) is the ratio P = \r\n" );
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document.write( "         P =  =  = use your calculator.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Having the formulas and explanations (and the referenced web-site), you can do the rest on your own\r
\n" ); document.write( "\n" ); document.write( "and to learn the subject, in parallel.\r
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\n" ); document.write( "\n" ); document.write( "From now, you just learned and are instructed on how the uniform distribution works.\r
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