A customer support center for a computer manufacturer receives an average of 1.9 phone calls every five minutes. Assume the number of calls received follows the Poisson distribution.
a. What is the probability that no calls will arrive during the next five minutes?
b. What is the probability that 3 or more calls will arrive during the next five minutes?
c. What is the probability that 3 calls will arrive during the next ten minutes?
d. What is the probability that no more than 2 calls will arrive during the next ten minutes?

Look at this check register. calculate the current balance. check date transaction (+) deposit balance 5/1 5/3 $82.92 debit 8.00 78.24 005 monthly fee phone bill paycheck 1 125.00 5/15 5/17 5/20 atm 40.00 56.50 006 t ennis lessons the current balance is?

Net income and owner's equity for four businesses four different proprietorships, jupiter, mars, saturn, and venus, show the same balance sheet data at the beginning and end of a year. these data, exclusive of the amount of owner's equity, are summarized as follows: total assets total liabilities beginning of the year $550,000 $215,000 end of the year 844,000 320,000 on the basis of the preceding data and the following additional information for the year, determine the net income (or loss) of each company for the year. (hint: first determine the amount of increase or decrease in owner's equity during the year.) jupiter: the owner had made no additional investments in the business and had made no withdrawals from the business. mars: the owner had made no additional investments in the business but had withdrawn $36,000. saturn: the owner had made an additional investment of $60,000 but had made no withdrawals. venus: the owner had made an additional investment of $60,000 and had withdrawn $36,000. jupiter net income $ mars net income $ saturn net income $ venus net income $

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. there is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. for each concert: i. there are 140 students willing to pay $20. (ii) there are 200 staff members willing to pay $35. (iii) there are 100 faculty members willing to pay $50. a) if the performing arts center can charge only one price, what price should it charge? what are profits at this price? b) if the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? c) if the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?