A university requires its biology majors to take a course called BioResearch. The prerequisite for this course is that students must have taken either a Statistics course or a computer course. By the time they are juniors, 53 % of the Biology majors have taken Statistics, 22 % have had a computer course, and 7 % have done both. What percent of the junior Biology majors are ineligible for BioResearch?

Question

Haney

Mathematics

16 January, 13:37

A university requires its biology majors to take a course called BioResearch. The prerequisite for this course is that students must have taken either a Statistics course or a computer course. By the time they are juniors, 53 % of the Biology majors have taken Statistics, 22 % have had a computer course, and 7 % have done both. What percent of the junior Biology majors are ineligible for BioResearch?

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Jessica Juarez · Answer 1

32%.

Step-by-step explanation:

Given:

Probability of having Statistics course is 0.53.

Probability of having computer course is 0.22.

Probability of having both is 0.07.

The probability of the junior Biology majors are ineligible for Bio Research can be calculated as:

P (Ineligible for Bio Research) = 1 - { P (Statistics) + P (Computer) - P (Both}

P (Ineligible for Bio Research) = 1 - { (0.53) + (0.22) - (0.07)

P (Ineligible for Bio Research) = 0.32

Thus, 32% of the junior Biology majors are ineligible for Bio Research.