On average, six people per hour conduct transactions at a special services desk in a commercial bank. Assuming that the arrival of such people is independently distributed and equally likely throughout the period of concern, what is the probability that more than 12 people will wish to conduct transactions at the special services desk during a particular hour?

A company prices its tornado insurance using the following assumptions:• In any calendar year, there can be at most one tornado.• In any calendar year, the probability of a tornado is 0.08.• The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.Using the company's assumptions, calculate the probability that there are fewer than 4 tornadoes in a 22-year period.

The First Mortgage Company has noted that 6% of its customers pay their mortgage payments after the due date. a. What is the probability that in a random sample of 150 customers 7 will be late on their payments? b. What is the probability that in a random sample of 150 customers at least 10 will be late on their payments?

4. FILE Daniel-James Insurance Company will insure an offshore ExxonMobil oil pro- duction platform against weather losses for 1 year. The president of Daniel-James estimates the following losses for that platform (in millions of dollars) with the accompa- nying probabilities: Amount of Loss ($ millions) 0 40 300 Probability of Loss .98 .016 .004 a. What is the expected amount Daniel-James will have to pay to ExxonMobil in claims?

A company prices its tornado insurance using the following assumptions: • In any calendar year, there can be at most one tornado. • In any calendar year, the probability of a tornado is 0.07. • The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year. Using the company's assumptions, calculate the probability that there are fewer than 2 tornadoes in 15-year

A company sends its products from 3 warehouses, namely from warehouse A=30%, warehouseB=20% and from warehouse C=50%. Based on complaints from customers, it is known thatthe percentage of defective products sent from each warehouse is as follows: A=3% , B= 5% and from warehouse C= 2%.a. Suppose a customer after ordering the product, the next dayComplained that the item was defective. What is the probability that the product receivedthe customer is from warehouse C? b. If another customer who also orders the product and getsthe goods are in good condition, what is the probability that the product received by the customerdoes it come from warehouse A?

Assume that there is a 8% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? a. With two hard disk drives, the probability that catastrophe can be avoided is 0.9936. (Round to four decimal places as needed.) b. With four hard disk drives, the probability that catastrophe can be avoided is ☐ (Round to six decimal places as needed.)

10. A bank classifies borrowers as high risk or low risk. Only 15% of its loans are made to those in the high-risk category. Of all its loans, 5% are in default, and 40% of those in default were made to high-risk borrowers. What is the probability that a high-risk borrower will default?