FAU QBM 360 - Quiz 2

Course QMBLC Summer14

Test Quiz2 
 
 
 
• Question 1

 
 Assuming a Poisson distribution, on the average, 6.7 cars arrive at the drive-up window of a bank every hour. Compute the probability that exactly 5 cars will arrive in the next hour.   
  
   
• Question 2

 
 At a computer-consulting firm, the number of new clients that they have obtained each month has ranged from 0 to 6. The number of new clients has the probability distribution that is shown below.  Determine the expected number of new clients per month.
 
# of Clients Probability
0 0.05
1 0.10
2 0.15
3 0.35
4 0.20
5 0.10
6 0.05
   
  
   
• Question 3

 
 Assuming a binomial distribution, four percent of the customers of a mortgage company default on their payments. A sample of five customers is selected. What is the probability that more than 2 customers in the sample will default on their payments?   
   
• Question 4

 
 If P(A) = 0.68, P(A ∪ B) = 0.91, and P(A ∩ B) = 0.35, then P(B) =   
   
• Question 5

 
 If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) =   
  
   
• Question 6

 
 X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that X is between 9.7 and 22 is   
  
   
• Question 7

 
 A random variable X is exponentially distributed with a mean of 25.
What is the probability that X is between 25 and 30?   
  
   
• Question 8

 
 X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that X is between 17 and 27 is