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3 years ago

8

There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade on the soccer team. Coach Foste

r will pick one captain from each grade. What is the probability that both captains will be girls? Type your answer as a simplified fraction.

1 answer:

hodyreva [135]3 years ago

5 0

1/2 because there is 7 girls and 7 boys in total

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<u>Answer:</u>

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Step-by-step explanation:

Given,

mean $\bar{x}=6.88$

standard deviation $\sigma=1.90$

sample size $n=41$

$90\% \quad \text{confidence interval}$

Critical value $=\frac{z_\alpha}{2}\quad \quad\quad[\because\;\alpha=1-\text{confidence interval}]$

$=1-0.90$

$\Rightarrow \alpha=0.1$

Critical value $=\frac{z_{0.1}}{2}$

$=z_{0.05}$

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The margin of error (E) $=\frac{z_\alpha}{2} \times\frac{\sigma}{\sqrt{n} }$

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Complete question is attached in below.

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