Statistics help

The Acme Pro Office service provides temporary office personnel for many corporations. They have found that 88% of their invoices are paid within 10 working days by these corporations. Suppose the service randomly selects 8 of their invoices that are at least 10 working days old. Use this situation to answer the parts below. (a) Recognizing that this is a binomial situation, give the meaning 8 and F in this context. That is, define what you will classify as a "success" and what you will classify as a "failure" as it refers to paying invoices within 10 working days. 8 F (b) Next, give the values of n, p, and q. (Recall that q is the probability of failure in a trial.) n = p = q = (c) Construct the complete binomial probability distribution for this situation in a table out to the right. (d) Using your table, find the probability that exactly three of the chosen corporations paid within 10 working days. (e) Find the probability that at least six paid within 10 working days. (f) Find the probability that at most 4 paid within 10 working days. (9) Find the mean and standard deviation of this binomial probability distribution. (h) By writing a sentence, interpret the meaning of the mean value found in (g) as tied to the context of the Acme temp service and paid invoices. (i) Is it unusual to have only 6 of 8 invoices to have been paid within 10 days? Briefly explain your answer giving supporting numerical evidence. Px