“Inability to get along with others” is the reason cited in 17% of worker firings (based on data from Robert Half International, Inc.). Concerned about her company’s working conditions, the personnel manager at the Boston Finance Company plans to investigate the five employee firings that occurred over the past year.

a. Assuming that the 17% rate applies, find the probability that at least four of those five employees were fired because of an inability to get along with others.

b. If the personnel manager actually does find that at least four of the firings were due to an inability to get along with others, does this company appear to be very different from other typical companies? Why or why not?