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Color Bindness in Men and Women The most common forrm of color blindness is an i

ID: 3073439 • Letter: C

Question

Color Bindness in Men and Women The most common forrm of color blindness is an inability to distinguish red from green. However, this particular form of color blindness is much more common in men than in women (this is because the genes corresponding to the red and green eceptors are located on the X chromosome Approximately 7% of American men and 0.4% of American women are red-green color blind i Let CBM and CBW denote the events that a man or a woman is color- blind, respectively Montgomery, G., "Color Blindness: More Prevalent Among Males," in Seeing, Hearing, and Smelling the World, http://www.hhmi.org/senses/b130.html, accessed April 27, 2012. (a) If an American male is selected at random, what is the probability that he is red-green color-blind? Enter the exact answer p(CBM) Answer *1: exact number, no tolerance (b) If an American female is selected at random, what is the probability that she is NOT red-green color-blind? Enter the exact answer P(not CBW) Answer *1: exact number, no tolerance (c) If one man and one wonan are selected at random, what is the probability that neither are red-green color-blind? Round your answer to three decimal places. P(Neither is Color-blind)- Answer *1: the absolute tolerance is +-0.005 (d) If one man and one woman are selected at random, what is the probability that at least one or them is red-green color-blind? Round your answer to three decimal places. Pl At least one is Color-blind) Answer 1: the absolute tolerance is +-0.005

Explanation / Answer

a)P(CBM)=0.07

b)P(not CBW) =1-P(CBW) =1-0.004=0.996

c)P(neither is color blind) =(1-0.07)*(1-0.004)=0.92628

d)

P(at least one is color blind) =1-P(neither is color blind )=1-0.92628 =0.07372