  # 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?

Question

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.

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?
check_circleExpert Solution
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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