Problem

b. Find the probability of getting 1 or fewer girls in 8 births. (Type an integer or a decimal. Do not round.) Probability Distribution for $\mathrm{x}^{-}$ \begin{tabular}{c|c|} \hline $\begin{array}{c}\text { Number of } \\ \text { Girls } \mathbf{x}\end{array}$ & $\mathbf{P}(\mathbf{x})$ \\ \hline 0 & 0.002 \\ \hline 1 & 0.037 \\ \hline 2 & 0.108 \\ \hline 3 & 0.178 \\ \hline 4 & 0.350 \\ \hline 5 & 0.178 \\ \hline 6 & 0.108 \\ \hline 7 & 0.037 \\ \hline 8 & 0.002 \\ \hline \end{tabular} Clear all Check answer

Solution

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 \(\boxed{0.039}\).

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Source: https://solvelyapp.com/problems/38716/

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