Acompany employs 400 salespeople. of these, 83 received a bonus last year, 100 attended a special sales training program at the beginning of last year, and 42 both attended the special sales training program and received a bonus. (note: the bonus was based totally on sales performance.) a) what proportion of the 400 salespeople received a bonus last year? b) what proportion of the 400 salespeople attended the special sales training program at the beginning of last year? c) what proportion of the 400 salespeople both attended the special sales training program and received a bonus? d) what proportion of the salespeople who attended the special sales training program received a bonus? e) based on your answers to parts a and d, does the special sales training program seem to have been effective? explain your answer.

Suppose you win a small lottery and have the choice of two ways to be paid: you can accept the money in a lump sum or in a series of payments over time. if you pick the lump sum, you get $2,950 today. if you pick payments over time, you get three payments: $1,000 today, $1,000 1 year from today, and $1,000 2 years from today. 1) at an interest rate of 6% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 2) at an interest rate of 9% per year, the winner would be better off accepting the (lump sum / payments over time), since it has the greater present value. 3) years after you win the lottery, a friend in another country calls to ask your advice. by wild coincidence, she has just won another lottery with the same payout schemes. she must make a quick decision about whether to collect her money under the lump sum or the payments over time. what is the best advice to give your friend? a) the lump sum is always better. b) the payments over time are always better. c) it will depend on the interest rate; advise her to get a calculator. d) none of these answers is good advice.