Question

Asked Nov 9, 2019

The age of children in kindergarten on the first day of school is uniformly distributed between 4.8 and 5.84 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?

Step 1

1.

The mean of the distribution is ** 5.3200** and it is obtained below:

From the given information, the random variable *X* as age of the children in kindergarten on the first day of school is uniformly distributed between 4.8 and 5.84 years old. That is, *a*=4.8 and *b*=5.84.

The probability density function for *X* is,

Step 2

2.

The standard deviation is **0.3002** and it ...

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