Winter 2016 BE 2100 Wayne State University Quiz 4 College of

Winter 2016- BE 2100 Wayne State University Quiz 4 College of Engineering b. What is the probably that at most 4 students among these 5 purchasers will buy a new text? 3. (1 point) The number of incidents at a nuclear power plant has a Poisson distribution with a mean of 4 incidents per year (u 4). in one year. a. Find the variance of the number of incidents Find the probability that there will be no more than 1 incident in a 6-month period.

Solution

Q3.
Possion Distribution
PMF of P.D is = f ( k ) = e- x / x!
Where   
= parameter of the distribution.
x = is the number of independent trials

Possion with a mean rate of 4 accidents per year
a.
Variance = Mean = 4

b.
Mean rate for 6 month period be 2 accidents per year
P( X < = 1) = P(X=1) + P(X=0)   
= e^-6 * 6 ^ 1 / 1! + e^-6 * 2 ^ 0 / 0!
= 0.0174