Q1) Determine the following probabilities:

a) Events A and B are mutually exclusive events defined on common sample space. If P (A) =0.3 and P (A or B) = 0.75, find P (B).

b) Events A and B are defined on common sample space. If P (A) =0.30, P (B) =0.50 and P (A or B) =0.72, determine P (A and B).

Q2) A small bag of skittles candies has following assortment: red (12), blue (5), orange (15), brown (0), green (16), and yellow (7). Create the probability distribution for X.

Q3) If random variable z is standard normal score, which of given probabilities could easily be found out without referring to a table?  

i) P (z >5)   

ii) P (z < 1.43)   

iii) P (z < -2.95)   

iv) P (z > -0.35)   

Q4) In which of the following binomial distributions is normal approximation appropriate?

i) n=100, p=0.04

ii) n=50, p=0.09

iii) n=75, p=0.06

iv) n=12, p=0.45