3. If the Manufacturer knows the probability of a manufactured device being

defective is 0.30 and she is to manufacture 4 devices, finish the following table

provided that X is the number of defective devices [10 Marks]

X

P(x)

0

0.24

1

2

3

4

a) What is the probability that at most 2 of the manufactured devices will be

defective?

b) What is the probability that at least 2 of the manufactured devices will be

defective?

c) What is the probability that the number of defective devices will be between 1

and 4?

d) Calculate E(X) and V(X) using the table and then using the binomial

distribution. Compare the results.