(Solved): (Q1) Use the table above to find the probability that given the individual selected is male (M) tha ...

(Q1) Use the table above to find the probability that given the individual selected is male (M) that the individual is a nurse ( \( \mathrm{N}) \). If other words, find \( \mathrm{P}(\mathrm{N} \mid \mathrm{M}) \) (a) The probability \( P(N \cap M) \) is (b) The probability \( \mathrm{P}(\mathrm{M}) \) is (c) Hence \( \mathrm{P}(\mathrm{N} / \mathrm{M}) \) is (Q2) Let \( P(B) \) be the probability of getting a positive test for a disease and let \( P(A) \) be the probability of having the disease: Suppose \( P(B)=1 / 50 \), and \( P(A \cap B)=1 / 51 \) Then \( \mathrm{P}(\mathrm{A} \mid \mathrm{B}) \) is WRITE your answers as fractions in the form n/d, no spaces where \( n \) is the numerator and \( d \) is the denominator Fractions should be reduced to their lowest form.