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?

Question
Asked Nov 2, 2019

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? 

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Expert Answer

Step 1

Let X be the random variable uniformly distributed between 4.73 and 5.75 seconds.

Denote X as the age of children in kindergarten.

Thus, the probability density function of X is:

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Step 2

The mean of the uniform distribution is given by,

ab
με
2
4.73 5.75
2
=5.24 years
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ab με 2 4.73 5.75 2 =5.24 years

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Step 3

The standard deviation of the unifo...

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