Suppose that the probability of suffering a side effect from a certain flu vaccine is 0.005.

If 1000 persons are inoculated, find the approximate probability that

a) At most 1 person suffers.

( use Poisson approximation )

b) 4, 5, or 6 persons suffer.

2. Suppose that the proportion of genetically modified (GMO) corn in a large shipment

is 2%. Suppose 50 kernels are randomly and independently selected for testing.

a) Find the probability that exactly 2 of these 50 kernels are GMO corn.

b) Use Poisson approximation to find the probability that exactly 2 of these 50 kernels

are GMO corn.

3 – 4. Suppose a discrete random variable X has the following probability distribution:

P ( X = 1 ) = p, P ( X = k ) =

( )

!

ln3