A manufacturing plant produces a huge amount of boxes over the weekend. Each box has a E'D'E. chance of meeting the size specification dimension. Those boxes that do not meet the size specification dimension are recycled for other usage. A quality assurance engineer randomly selects 1U boxes for checking. Explain in context why the scenario fits the binomial distribution. {4 marks] (a) What is the expected number of boxes that meet the specification dimension? Leave your answer to the nearest whole number. boxes (b) Find the probability that 7 boxes meet the specification dimension. Leave your answer to the nearest 4 decimal places. (c) Find the probability that fewer than 9 boxes meet the specification dimension. Leave your answer to the nearest 4 decimal places. (d) Based on your answer in (c), is it rare for fewer than 9 boxes to meet the specification dimension? Yes/No A/