An online retailer monitored the number of goods accepted and returned in an hour for the orders fulfilled by two of its vendors. This table shows the results from the survey. Vendor I Vendor II

Accepted 322 307

Returned 16 14

Which table should you use to compare the two vendors by the percentage of goods returned? Round your answers to the nearest thousandth.

A. Vendor I Vendor II

Accepted 0.953 0.956

Returned. 0.473 0.436

B. Vendor I Vendor II

Accepted 0.953 0.949

Returned 0.047 0.051

C. Vendor I Vendor II

Accepted 0.467 0.533

Returned 0.533 0.467

D. Vendor I Vendor II

Accepted 0.953 0.956

Returned 0.047 0.044

The resumâ´es of two male applicants for a college teaching position in chemistry are placed in the same file as the resumâ´es of two female applicants. two positions become available, and the first, at the rank of assistant professor, is filled by selecting one of the four applicants at random. the second position, at the rank of instructor, is then filled by selecting at random one of the remaining three applicants. using the notation m2f1, for example, to denote the simple event that the first position is filled by the second male applicant and the second position is then filled by the first female applicant, (a) list the elements of a sample space s; (b) list the elements of s corresponding to event a that the position of assistant professor is filled by a male applicant; (c) list the elements of s corresponding to event b that exactly one of the two positions is filled by a male applicant; (d) list the elements of s corresponding to event c that neither position is filled by a male applicant; (e) list the elements of s corresponding to the event a â© b; (f) list the elements of s corresponding to the event a âş c; (g) construct a venn diagram to illustrate the intersections and unions of the events a, b, and c.