Problem 6) Suppose a population of students are being studied for colorblindness

Question

Problem 6) Suppose a population of students are being studied for colorblindness. Table below shows the proportion of colorblind male and female in this population. a) A student is selected at random, what is the probability that the student is a b) A student is selected at random. We know that the student is male. What is the c) A student is selected at random. We know that the student is colorblind. What is d) Are being a male student and being a colorblind student independent? colorblind male? probability that the student is colorblind? the probability that the student is female? Colorblind Not Colorblind Total Male 0.04 0.47 0.51 Female 0.002 0.488 0.49 Total 0.042 0.958 1.00

Explanation / Answer

a)P(color blind male) =0.04  

b) P(colorblind|male) =0.04/0.51 =0.0784

c) P(female|Colorblind) =0.002/0.042=0.0476

d) No ; as P(colorblind|male) is not equal t to P(colorblind) ; therefore being a male student and being colorblind is not independent.

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