A very large batch component has arrived at a distributor. 10% of the components in the batch are defective but the distributor does not know the exact percentage of the defective components. He decides to randomly select 10 components and to accept the batch only if the number of defective components in the sample is at most 2. P [a component is defective] = 0.10 given 10% of components in a batch are defective A random sample of size 10 is selected. This follows a binomial distribution as the sample is random, each component is selected independently and probability of a component to be defective is same for all components. a. What is the probability that the batch will be accepted?