Suppose that the probability of suffering a side effect

Solution 8E

Step1 of 4:

We have the probability of suffering a side effect from a certain flu vaccine is p = 0.005.

The number of inoculated persons n = 1000.

We need to find the approximate probability that

(a) At most 1 person suffers.

(b) 4, 5, or 6 persons suffer.

Step2 of 4:

Let “X” be random variable which follows poisson distribution with parameters .

That is X P()

The probability mass function of binomial distribution is given below

P(X) = , x =0,1,2,3,...,n.

Where,

X = random variable

n = sample size

p = probability of success(or proportion).

e = a constant it is approximately 2.7182.

Here,

    = 10000.005