A flashlight needs two batteries to be operational. consider such a flashlight along with a set of n functional batteries—battery 1, battery 2, . . . , battery n. initially, battery 1 and 2 are installed. whenever a battery fails, it is immediately replaced by the lowest numbered functional battery that has not yet been put in use. suppose that the lifetimes of the different batteries are independent exponential random variables each having rate μ. at a random time, call it t, a battery will fail and our stockpile will be empty. at that moment exactly one of the batteries—which we call battery x—will not yet have failed.

He moto hotel opened for business on may 1, 2017. here is its trial balance before adjustment on may 31. moto hotel trial balance may 31, 2017 debit credit cash $ 2,283 supplies 2,600 prepaid insurance 1,800 land 14,783 buildings 72,400 equipment 16,800 accounts payable $ 4,483 unearned rent revenue 3,300 mortgage payable 38,400 common stock 59,783 rent revenue 9,000 salaries and wages expense 3,000 utilities expense 800 advertising expense 500 $114,966 $114,966 other data: 1. insurance expires at the rate of $360 per month. 2. a count of supplies shows $1,050 of unused supplies on may 31. 3. (a) annual depreciation is $2,760 on the building. (b) annual depreciation is $2,160 on equipment. 4. the mortgage interest rate is 5%. (the mortgage was taken out on may 1.) 5. unearned rent of $2,580 has been earned. 6. salaries of $810 are accrued and unpaid at may 31