The number of miles that a particular car can run before itsbattery wears out is exponentially distributed with an averageof 10,000 miles. Problems1. The mean of a probability distribution, , is given by . Find given that theaverage of this exponential distribution is 10,000.

miles

Step-by-step explanation:

We are given that

Exponential distribution function

             0, otherwise

Using the formula

              0, otherwise

Using the formula

Using formula

Hence, the value of miles

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: