To find the probability of getting exactly 6 girls in 8 births, we need to look at the corresponding value of $P(x)$ when $x = 6$ in the provided table.

From the table:

• When $x = 6$ (the number of girls), $P(x) = 0.107$.

Thus, the probability of getting exactly 6 girls in 8 births is $P(6) = 0.107$.

Would you like a detailed explanation of how this table might have been constructed, or have any other questions?

Here are 5 follow-up questions for further exploration:

1. What is the probability of getting at most 4 girls in 8 births?
2. What is the probability of getting at least 5 girls in 8 births?
3. How would you calculate the expected number of girls in 8 births using this table?
4. What is the probability of getting exactly 4 or exactly 6 girls in 8 births?
5. How would you compute the variance for the number of girls in this distribution?

Tip: The sum of all probabilities $P(x)$ for $x = 0$ to $x = 8$ must equal 1 in a valid probability distribution. Always check this when dealing with such tables.