Question

The table shows the probability distribution of siblings of students in a high

school with 1500 students. What is the expected value for the number of
siblings of a randomly chosen student?
Number of siblings
Probability
0
0.19
1
0.67
2
0.08
3
0.03
4
0.02
5
0.01

Answer 1

Answer: it’s 1.05 :)

Explanation:

Answer 2

The expected number of siblings is 1.05 or 1 (when rounded)

Explanation:

Given the probability distribution of siblings of students in a high school with 1500 students:

`\begin{array}{ccccccc}\text{Number of Siblings}&0&1&2&3&4&5\\ \\\text{Probabilities}&0.19&0.67&0.08&0.03&0.02&0.01\end{array}`

To find the expected value for the number of siblings of a randomly chosen student, myltiply the number of siblings by its probability and add all these products:

`0\cdot 0.19+1\cdot 0.67+2\cdot 0.08+3\cdot 0.03+4\cdot 0.02+5\cdot 0.01\\ \\=0.67+0.16+0.09+0.08+0.05\\ \\=1.05`

Thus, the expected number of siblings is 1.05 or 1 (when rounded)