The amount of time that a surveillance camera will run without having to be reset is a random variable having the exponential distribution with λ = .02 per day. Find the time above which 68% of the cameras have to be reset.

After 19 days, 68% of the cameras have to be reset.

Step-by-step explanation:

The probability density function of an exponential distribution is:

The value of λ is 0.02.

It is given that, P (X > x) = 0.68.

Compute the value of x as follows:

Take natural log on both sides.

Thus, for times more than 19 days, 68% of the cameras have to be reset.

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)