a family has four childrem. let x represent the number of sons. Whixh of these tables represents the probability distribution of x?
Without tables to look at, it is difficult to provide a specific answer. However, the probability distribution of x for the number of sons in a family with four children would typically be represented as a discrete probability distribution table with x taking values from 0 to 4 (since there can be at most 4 sons in a family with 4 children).
The table would show the probability of each possible outcome (number of sons), with the probabilities summing up to 1. For example, if x represents the number of sons, the table might look like this:
x (Number of Sons) | P(x)
0 | 0.0625
1 | 0.25
2 | 0.375
3 | 0.25
4 | 0.0625
This distribution assumes that the probability of having a son or daughter is equal (0.5) for each child.