The age of children in kindergarten on the first day of school is uniformly distributed between 4.73 and 5.75 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible.The mean of this distribution is The standard deviation is The probability that the the child will be older than 5 years old? The probability that the child will be between 4.83 and 5.53 years old is If such a child is at the 19th percentile, how old is that child?  years old.

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Asked Nov 14, 2019
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The age of children in kindergarten on the first day of school is uniformly distributed between 4.73 and 5.75 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible.

  1. The mean of this distribution is 
  2. The standard deviation is 
  3. The probability that the the child will be older than 5 years old? 
  4. The probability that the child will be between 4.83 and 5.53 years old is 
  5. If such a child is at the 19th percentile, how old is that child?  years old.
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Expert Answer

Step 1

Given uniform distribution with interval (4.73, 5.75) years old

That is (a, b) = (4.73, 5.75) years old

Step 2

1) Mean for this distribution is

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a+b 2 4.73+5.75 2 =5.24

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Step 3

2) Standard deviation...

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(b-a) 12 (5.75-4.73) 12 =0.2944486373 O 0.2944

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