Question

Suppose that in a given town, 60% of the population is under age 40 (event A). It is found that the proportion of residents under age 40 who support mandatory inoculation is 0.72 . The proportion of residents over age 40 who support mandatory inoculation is 0.52 . Let event B= support mandatory inoculation. Write out the info given in the word problem above using mathematical notation.

P(A) = 0.6;P(B∩A) = 0.52;P(B∩A′) = 0.72
P(A) = 0.6;P(B∣A) = 0.52;P(B∣A′) = 0.72
P(A) = 0.6;P(B∩A) = 0.72;P(B∩A′) = 0.52
P(A) = 0.6;P(B∣A) = 0.72;P(B∣A′) = 0.52
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Answer 1

The information given in the word problem can be represented mathematically as P(A) = 0.6, P(B∩A) = 0.72, and P(B∩A′) = 0.52.

Step-by-step explanation:

The information given in the word problem can be represented mathematically as:

• P(A) = 0.6 - The proportion of the population under age 40 is 0.6
• P(B∩A) = 0.72 - The proportion of residents under age 40 who support mandatory inoculation is 0.72
• P(B∩A′) = 0.52 - The proportion of residents over age 40 who support mandatory inoculation is 0.52