Suppose 23% of orders at a fastfood restaurant are takeout orders. A random sample of 35 orders is selected. Assuming independence, answer the following binomial probability questions. Report probabilities accurate to at least 4 decimal places. What is the probability that, of the 35 orders selected: a} exactly 8 are takeout orders? b] none of them are takeout orders? c) at least 6 are takeout orders? d) at most 9 are takeout orders