[10] 2) Historical data suggests that when a company's machines are functioning properly, the probability that an item produced will fail to meet quality standards is 0.076. On one day the quality assurance department examines 32 items. Calculate each of the following, assuming the machines are functioning properly.\na) The probability that exactly 6 items fail to meet quality control standards.\nb) The probability that at least 30 items will meet quality control standards.\nc) The probability that at least one item fails to meet quality control standards.\nd) The standard deviation for the number of items that fail to meet quality standards.
