Question

g.pr.10.2 (mc)

the table below shows the number of students who are majoring in engineering and / or taking calculus in their freshman year of college. find \\(p(\text{not calculus} \mid \text{engineering})\\)

	engineering	not engineering	total
not calculus	250	2330	2580
total	1230	2800	4030

• 20.3%
• 8.6%
• 64%
• 18%

Explanation:

Identify the formula for conditional probability

$$ P(\text{Not Calculus} \mid \text{Engineering}) = \frac{n(\text{Not Calculus} \cap \text{Engineering})}{n(\text{Engineering})} $$

Extract values from the two-way table

$$
LATEXBLOCK0
$$

Calculate the percentage

$$
LATEXBLOCK1
$$

Answer:

• (A) 20.3% (Correct answer)
• (B) 8.6%
• (C) 64%
• (D) 18%