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;
![f(x) = \lambda e^{-\lambda x} ; x > 0](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Clambda%20e%5E%7B-%5Clambda%20x%7D%20%3B%20x%20%3E%200)
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
Answer:
Divide the total cubic yards by the width and height
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Answer: 9
Step-by-step explanation: the base is 6 and the height is 3. The formula for a triangle is A = 1/2bh
6 times 1/2 is 3
3 times 3 = 9