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:

