Laboratory tests on a large shipment [several thousands] of radios revealed that 6.5% are

defective. On arrival of the shipment at the local distributor, 30 of the radios were

randomly selected for a promotion.

(a) Define the random variable for this situation and list its values

(b) (i) What in your view is the probability distribution of this variable? State the

conditions that influence your choice of distribution.

(ii) Calculate the probability that at most two (2) radios will be defective.

(c) From a randomly selected sample of 200 radios from the shipment, what is the

probability that less than 20 are defective

Thanks