Supposed that voting in municipal elections is being studied and four people are randomly selected. The accompanying table provides the probability distribution where x is the number of those people that voted in the last election
x | P (x)
0 0.23
1 0.32
2 0.26
3 0.15
4 0. 04
What is your question?
To find the expected value of the number of people who voted in the last election, you can calculate the weighted average. This is done by multiplying each possible number of voters by its corresponding probability and summing up the results.
Let's perform the calculations:
Expected value (E) = (0 * 0.23) + (1 * 0.32) + (2 * 0.26) + (3 * 0.15) + (4 * 0.04)
= 0 + 0.32 + 0.52 + 0.45 + 0.16
= 1.45
Therefore, the expected value of the number of people who voted in the last election is 1.45.