Q1) A fair die is rolled 10 times. Determine the probability that the odd number (1, 3 or 5) will occur less than 4 times? 

a) 0.1719

b) 0.1172

c) 0.2051

d) 0.3770

e) 0.0439

Q2) A fair die is rolled 36 times. Determine the standard deviation of even number (2, 4 or 6) outcomes? 

a) 18

b) 6

c) 4

d) 3

Q3) On certain daily flight, Air Northeast has the policy of booking as many as 24 people on airplane which can seat only 19.  (Past studies have revealed that only 80% of booked passengers actually arrive for flight.)  Using Binomial Distribution, determine probability that if Air Northeast books 24 people on flight, insufficient seats will be available for all booked passengers.

a) 0.54012   

b) 0.19602   

c) 0.65589

d) 0.45988

Q4) Employee gives pre-employment evaluation to large group of applicants.  Scores are normally distributed with mean of 154 and standard deviation of 18.  Employer wishes to interview only those applicants who score in top 15%.  What must cut-off score be for interviews? 

a) 176  

b) 181  

c) 166

d) 173