The operator of a pumping station has observed that demand for water during early after-noon hours has an approximately exponential distribution with mean 100 cfs (cubic feet persecond). a find the probability that the demand will exceed 200 cfs during the early afternoon on arandomly selected day. b what water-pumping capacity should the station maintain during early afternoons sothat the probability

Answer

-20-20x>-100

Step-by-step explanation:

Let represent the number of minutes. Since she is descending 20 feet per

minute, then —201 represents her change in altitude. It is nega.ti'.v since

descending means her altitude is decreasing.

Since she started at 20 feet below the ocean surface, she started at —20 feet.

Its nogati'.•v since au altitude below the ocean surface must be represented

by a negatiw• number.

Her ending position is the sum of how far she has descended and her initial

position so her ending position is —20 + (—201) —

-20 - 201.

She doesn't want to travel more than 100 feet below the ocean surface so she

needs to be higher than —100 feet. Tho inequality is then —20— 20.T —100.