Unit Test #69

Select your answers to the following 5 questions from the pop-up menus in the right hand column. Clicking the "Begin Test Again" button will clear all the answers.

 

 

Q1:

 

The random variable X has a Poisson distribution with parameter λ = 1.7.

Find P(X = 2)

A. 0.3476
B. 0.1217
C. 0.2640
D. 0.0975

Answer 1:

 

 

Q2:

 

The expected value E(X) of the distribution in question 1 is: A. 2
B. 0.264
C. 1.7
D. 3.4

Answer 2:

 

 

Q3:

 

The discrete random variable X = the number of trains leaving Wellington railway station each day that are delayed.

If the average number of delayed trains is 4, what is the probability that exactly 3 trains will be late?

A. 0.1954
B. 0.1680
C. 0.1465
D. 0.5862

Answer 3:

 

 

Q4:

 

What is the standard deviation of X in question 3 A. 4
B. 16
C. 2
D. 0.1954

Answer 4:

 

 

Q5:

 

What is the probability in question 3, that all trains on a particular day will leave on time? A. 0. 9048
B. 0.0733
C. 0
D. 0.0183

Answer 5: