John Thurgood founded a company that translates Chinese books into English. His company is currently testing a computer-based translation service. Since Chinese symbols are difficult to translate, John assumes the computer program will make some errors, but then so do human translators. The computer error rate is supposed to be an average of 3 per 400 words of translation. Suppose John randomly selects a 1,200-word passage. Assuming that the Poisson distribution applies, if the computer error rate is actually 3 errors per 400 words,
a. determine the probability that no errors will be found.
b. calculate the probability that more than 14 errors will be found.
c. find the probability that fewer than 9 errors will be found.
d. If 15 errors are found in the 1,200-word passage, what would you conclude about the computer company’s claim? Why?