answer all 3 questions with explanation

A customer buys transistors in batches of eight and decides whether or not to accept a batch according to the following procedure. Two transistors are selected at random, without replacement. The batch is accepted if neither is defective. If one of the inspected transistors is defective the customer selects another at random from the remaining six. If this additional transistor is defective, or if both of the transistors in the first sample are defective, the batch is rejected. Otherwise the batch is accepted. a Find the probabilities, to three decimal places, that batches containing 0, 1, 2, . . . 8 defectives are accepted. b If four per cent of transistors produced are defective, calculate the probabilities, to three decimal places, that a batch will contain 0, 1, 2, . . . 8 defectives. c Calculate the overall expected proportion of batches accepted