Suppose that the probability of suffering a side effect from a

Category: Mathematics

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

 

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