Step 1 :The question is asking for the probability of getting 1 or fewer girls in 8 births. From the given probability distribution table, we can see that the probability of getting 0 girls is 0.002 and the probability of getting 1 girl is 0.037.
Step 2 :To find the probability of getting 1 or fewer girls, we need to add these two probabilities together.
Step 3 :\(\text{prob}_0_\text{girls} = 0.002\)
Step 4 :\(\text{prob}_1_\text{girl} = 0.037\)
Step 5 :\(\text{prob}_1_\text{or}_\text{fewer}_\text{girls} = \text{prob}_0_\text{girls} + \text{prob}_1_\text{girl} = 0.039\)
Step 6 :Final Answer: The probability of getting 1 or fewer girls in 8 births is \(\boxed{0.039}\).