c Being a teenager and being 70 years old 4 from P 319 53 an

c) Being a teenager and being 70 years old. 4. (from P. 319, #53 and P. 332, #58,59 ) (8 marks) Source: Parsons\' Diseases of the Eye. ales than in females. Colour blindness is an inherited characteristic that is more common in m If M represents male and C represents red-green colour blindness, we use relative frequencies of the incidences of males and red-green colour blindness as probabilities to get P(C) .039, P(MnC) .035, P(MUC) = .491. = = Find the following probabilities. (A Venn diagram could help.) (a) P(Ce) A person is not colour blind. (b) P(M) A person is male. (c) P(Mc) A person is female. (d) P(McnCe) A person is female and not colour blind. (e) P(Cn Mc) A person is female and colour blind. (f) P(CUMc) A person is female or colour blind. (F) P(CU Mc) A person is female or colour blind (g) P(CIM) A male is colour blind. (b) P(MIC) A colbour blind person is male. (h) P(MIC) A colour blind person is male.

Solution

Now, 0.491=0.039+P(M)-0.035

Thus, P(M)=0.487

The required probability is:

P(MC)=1-0.487=0.513