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Find the probability of getting 6 or more girls in 8 births.

To find the probability of getting 6 or more girls in 8 births, we need to sum the probabilities from the distribution for \(x \geq 6\).

From the table:

- \(P(6) = 0.115\)
- \(P(7) = 0.026\)
- \(P(8) = 0.001\)

The probability of getting 6 or more girls is:

\[
P(X \geq 6) = P(6) + P(7) + P(8)
\]

Substituting the values:

\[
P(X \geq 6) = 0.115 + 0.026 + 0.001 = 0.142
\]

So, the probability of getting 6 or more girls in 8 births is **0.142**.

Would you like more details or have any questions?

### Related Questions:
1. What is the probability of getting exactly 5 girls in 8 births?
2. How do we calculate the expected number of girls in 8 births from this distribution?
3. What is the variance of the number of girls in 8 births?
4. How would the probability change if the total number of births were different?
5. Can we determine if the distribution follows a binomial pattern?

### Tip:
When working with probability distributions, always ensure the sum of all probabilities equals 1 to validate the distribution's correctness.

Explore the calculation of the probability of getting 6 or more girls in 8 births using the binomial distribution. Includes step-by-step solution and probabilities for each outcome. Suitable for high school students studying probability and statistics.

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