Q1) If P(A) = 0.45, P(B) = 0.35, and P(A and B) = 0.25, then P(B | A) is:

a) 1.4                 

b) 1.8                                   

c) 0.714                      

d) 0.556  

Q2) In which of the following binomial distributions is normal approximation appropriate?

a) n = 100, p = 0.04

b) n = 50, p = 0.09

c) n = 75, p = 0.06

d)  n = 12, p = 0.45

Q3)  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)

Q4) Categorize the following as discrete or continuous random variables

a) Number of Nursing majors at South University

b) Time it takes to complete this assignment

c) Blood pressures of all patients admitted to a hospital on a certain day

d) The number of people who play the state lottery each day

Q5) 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.