Question

Conditional Probability.

Let's say, table below shows number of people
who work for the company located in Manhattan
and live in NY, NJ or CT. Put any numbers in this table:

	NY	NJ	CT
Male	...	...	...
Female	...	...	...

Based on data in your table find probability
that randomly selected person from this company:

1) is Female AND lives in NY: P(F and NY);
2) is Male OR lives in NJ: P(M or NJ);
3) lives in CT IF person is Male: P(CT if M).

Answer 1

Solution:

	NY	NJ	CT
Male (M)	25	35	40
Female (F)	15	15	20

From the above contingency table,total number of males are 100,total number of females are 50 and total population is 150.

i) The probability that randomly selected person from this company is Female And lives in NY = 15/150  = 0.1

ii) The probability that randomly selected person from this company is Male OR lives in NJ =

P( M NJ) = P(M)+P(NJ) - P(M NJ)

  

  

iii) The probability that randomly selected person from this company is lives in CT if person is Male ,