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A probability provides a quantitative description of the likely occurrence of a particular event.

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What is the probability that a girl is taller than a boy, with boys ~N(68, 4.5) and girls ~N...

"Given that boys' heights are distributed normally $\mathcal{N}(68$ inches, $4.5$ inches$)$ and girls are distributed $\mathcal{N}(62$ inches, $3.2$ inches$)$, what is the probability that a girl chosen … To find the probability of a girl being taller than a boy, we then found the area of the new normal distribution, $\mathcal{N}(6$ inches, $5.521$ inches$)$ with the upper bound of $0$. …
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