3. Concrete blocks are tested and it is found that, on average, 7% fail to meet the required specification. For a batch of 9 blocks, determine the probabilities that (a) three blocks and (b) less than four blocks will fail to meet the specification. 4. An automatic machine produces, on average, 10% of its components outside of the toler- ance required. In a sample of 10 components from this machine, determine the probabil- ity of having three components outside of the tolerance required by assuming a binomial distribution. Draw a histogram showing the probabilities of 0, 1, 2. . . ., 9 components are outside the tolerance required