The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). (a) Find the probability that the demand will exceed 240 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

0.0907 = 9.07% probability that the demand will exceed 240 cfs during the early afternoon on a randomly selected day.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

In which is the decay parameter.

The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

Exponential distribution with mean 100 cfs (cubic feet per second):

This means that

(a) Find the probability that the demand will exceed 240 cfs during the early afternoon on a randomly selected day.

0.0907 = 9.07% probability that the demand will exceed 240 cfs during the early afternoon on a randomly selected day.

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "