Question

Color blindness is an inherited characteristic that is more common in males than in females. If M represents male and C represents red-green color blindness, we use the relative frequencies of the incidence s of males and red-green color blindness as probabilities to get

P(C)=0.039,P(M∩C)=0.035,P(M∪C)=0.491.P(C)=0.039,P(M∩C)=0.035,
P(M∪C)=0.491.
Find the following probabilities
(a) P(C′)
(b) P(M)
(c) P(M′)
(d) P(M′∩C′)
(e) P(C∩M′)
(f) P(C∪M′)

Answer 1

Explanation:

P(C)=0.039, P(M∩C)=0.035, P(M∪C)=0.491

(a) P(C′) = 1 - P(C) = 1 - .039 = .961

b ) P(M) = .487

c ) P(M′) = 1- .487 = .513

d ) P(M′∩C′) = 1 - (P(M∪C) = 1- .491 = .509

e ) P(C∩M′) = P(C) - P(M∩C) = .004

f ) P(C∪M′) = .452.