A. 5500x(1+5%)=$5775
b. 5775x(1+5%)=$6063.75
Those are your answers.
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
It is 1/11 or 4/44.
Explained:
This is because when you subtract 26 and 22 you get 4 and when you subtract 4 and -45. The 45 then becomes a positive since when you get a negative and a negative you get a positive. Then you simplify it by 11.
The commutative property of multiplication states that the numbers can be multiplied in any order.
a+b = b+a : Commutative property of addition
a*b = b*a : Commutative property of multiplication
a+0=a : Additive identity property
a*1 =a : Multiplicative identity property
Answer : a*b =b*a
The answer is 11.6 centimeters.