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Kruka [31]
3 years ago
6

Employment data at a large company reveal that 74% of the workers are married, 42% are college graduates, and that 56% are marri

ed, given that they are college graduates. Which of the following statements are true about the events married and college graduate?
(A) These events are pairwise disjoint.
(B) These events are independent events.
(C) These events are both independent and pairwise disjoint.
(D) A worker is either married or a college graduate always.
(E) None of these above are true.
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

(E) None of these above are true.

Step-by-step explanation:

Married = 74% or 0.74

College graduates = 42% or 0.42

pr(married | college graduates) = 0.56

(A) These events are pairwise disjoint. This is false. Pairwise disjoint are also known as mutually exclusive events. Here we can see that both events are occurring at same time.

(B) These events are independent events. This is also false.

(C) These events are both independent and pairwise disjoint. False

(D) A worker is either married or a college graduate always. False

Here Probability(A or B) shall be 1

= Pr(A) + Pr(B) - Pr( A and B) = 0.74 + 0.42 - 0.56 * 0.42 = 0.9248

This is not equal to 1.

(E) None of these above are true. This is true.

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Step-by-step explanation:

Hi there!

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Open up the parentheses

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_____

<em>Comment on the geometry</em>

The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.

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3 years ago
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