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
Hey there! I'm happy to help!
Step 2 is incorrect. She added 4 and 2 first, but you are supposed to multiply and divide first. Then she multiplied 6 and 6, which is 36. Then she divided 36 and 2, which is 18, and then she subtracted 7, giving her 11. Step 2 is what threw the whole thing off.
Here is what Sandy should have done.
STEP 1: 6·4+2÷2-7
STEP 2: 24+1-7
STEP 3: 25-7
STEP 4: 18
I hope that this helps! Have a wonderful day! :D
Answer:
39.3%
Step-by-step explanation:
LHL in not equal to RHL , Therefore the limit does not exists , Option D is the answer.(none)
<h3>What is the limit of a function ?</h3>
The limit of a function at a certain point is the value that the function approaches as the argument of the function approaches the same point.
It is given that
lim x->2 for f(x)
f(x) = 2x+1 x ≤2
f(x)= x² , x >2
When both the function tends to 2
Left Hand Limit
f(x) = 2 *2 +1
f(x) = 5
Right Hand Limit
f(x) = x² ,
f(x) = 4
LHL in not equal to RHL , Therefore the limit does not exists.
To know more about Limit of a Function
brainly.com/question/7446469
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Answer:
b
Step-by-step explanation:
If you multiple each side by 3 then they will equal the numbers that b has
