Answer:
The expected number of siblings is 1.05 or 1 (when rounded)
Step-by-step explanation:
Given the probability distribution of siblings of students in a high school with 1500 students:
[tex]\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}[/tex]
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:
[tex]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[/tex]
Thus, the expected number of siblings is 1.05 or 1 (when rounded)
