Q:

A school is sending 11 children to a camp. if 20% of the children in the school are first graders, what is the mean and standard deviation of the number of first graders going to camp? round to two decimal places.

Accepted Solution

A:
Total number of students = n = 11
Proportion of first graders = p = 20% = 0.2

Mean number of first graders going to camp will be = np

Using the given values, we get:

Mean = 11(0.2) = 2.20

Standard deviation can be calculated as:

[tex]s= \sqrt{np(1-p)} [/tex]

Using the values, we get:

[tex]s= \sqrt{11(0.2)(0.8}=1.33[/tex]

Therefore, the mean will be 2.20 and standard deviation will be 1.33 of the number of first graders going to camp.