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 the definition of union
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), the shaded region should include all elements in circle (M), all elements in circle (N), and the elements in the intersection of (M) and (N). For option A, the entire regions of both circles (M) and (N) (including the intersection) are shaded, which represents (M\cup N). 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)) (the symmetric difference). For option C, the region outside the two circles is shaded, which represents (\overline{M\cup N}) (the complement of the union). For option D, only the intersection part is shaded, which represents (M\cap N).
Answer:
A.