bne of your patients has a lump in ho (NOTE: The 80% is called the sensit with t

Question

bne of your patients has a lump in ho (NOTE: The 80% is called the sensit with the disease are m the medical literature that for those with malignant. You have the patient also kna s thatare eosins.. with Page 4 STA 4 12-Hand-in Homework #2-Fall 201 8Sections 2.4-25, 27-2 iaDue Friday September 14 8% of men and 0.5% of women of Northern European ancestry are color blind. An article in Ophthalmology about younger children indicates that those of non-white races have a lower prevalence of col than white children: https://www.aaoiournal org/article/s0161-64201400049-9/fulltext. 5. According to https://nei.nih.gov/health/color_blindness/facts about as many as or-blindness The 2018 white U.S. population is around 49.4% male and 50.6% female (American Community Survey 2017 s-year estimate). Assume here that the percentages of persons by sex who are color blind among those with Northern European ancestry are close to those of the U.S. white population. A white, color blind person in the U.S. is chosen at random. What is the probability that the chosen person is a male? COMMENT: Please define your events, and please use correct probability and set notation in your calculations.

Explanation / Answer

Ans:

Given that

P(color blind/male)=0.08

P(color blind/female)=0.005

P(male)=0.494

P(Female)=0.506

Now,

P(color blind)=P(color blind/male)*P(male)+P(color blind/female)*P(female)

=0.08*0.494+0.005*0.506

=0.04205

P(male/color blind)=P(color blind/male)*P(male)/P(color blind)

=0.08*0.494/0.04205

=0.9398

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