people on a specific diet were examined for vitamin b deficiencies. one person is selected at random.\n· let…
people on a specific diet were examined for vitamin b deficiencies. one person is selected at random.\n· let m be the event that the person is deficient in vitamin b₂.\n· let n be the event that the person is deficient in vitamin b₆.\nwhich venn diagram is shaded to represent the union of the two events?
Answer
Explanation:
Step1: Recall union definition
The union of two events $M$ and $N$, denoted as $M\cup N$, consists of all the outcomes that are in $M$, in $N$, or in both $M$ and $N$.
Step2: Analyze Venn - diagram options
In a Venn - diagram representing $M\cup N$, both the region of $M$ (including the intersection part) and the region of $N$ (including the intersection part) should be shaded. For option A, the entire regions of both circles $M$ and $N$ are shaded, which represents all elements that are in $M$, in $N$, or in both. For option B, only the non - intersection parts of $M$ and $N$ are shaded, which represents $(M\cap\overline{N})\cup(\overline{M}\cap N)$. For option C, only the area outside the two circles is shaded, which represents $\overline{M\cup N}$. For option D, only the intersection part is shaded, which represents $M\cap N$.
Answer:
A.