Answer:
The probability that a randomly selected call time will be less than 30 seconds is 0.7443.
Step-by-step explanation:
We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.
Let X = caller times at a customer service center
The probability distribution (pdf) of the exponential distribution is given by;

Here,
= exponential parameter
Now, the mean of the exponential distribution is given by;
Mean =
So,
⇒
SO, X ~ Exp(
)
To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;
; x > 0
Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)
P(X < 30) =
= 1 - 0.2557
= 0.7443
The solid 3D object that is produced by rotating the triangle about line m is a cone.
<h3>What is a triangle?</h3>
It should be noted that a triangle simply means a shape that has three sides and three angles.
In this case, the solid 3D object that is produced by rotating the triangle about line m is a cone.
Learn more about triangle on:
brainly.com/question/1058720
#SPJ1
Andrea drove 50miles/hour
refer to pic for working
1/6=16.666666...
So it is 16.6666.... to 6(or 100)