The question is incomplete. Here is the complete question.
Nite Time Inn has a toll-free telephone number so that customers can call at any time to make a reservation. A typical call takes about 4 minutes to complete, and the time required follows an exponential distribution. find the probability that a call takes
a) 3 minutes or less
b) 4 minutes of less
c) 5 minutes of less
d) Longer than 5 minutes
e) Longer than 7 minutes
Answer: a) P(X<3) = 0.882
b) P(X<4) = 0.908
c) P(X<5) = 0.928
d) P(X>5) = 0.286
e) P(X>7) = 0.174
Step-by-step explanation: <u>Exponential</u> <u>distribution</u> is related with teh amount of time until some specific event happens.
If X is a continuous random variable, probability is calculated as:
in which:
m is decay parameter, given by:
For the Nite Time Inn calls:
m = 0.25
(a) P(X<3)
P(X < 3) = 0.882
<u>The probability the call takes less than 3 minutes is 0.882.</u>
(b) P(X<4)
P(X < 4) = 0.908
<u>The probability the call takes less tahn 4 minutes is 0.908.</u>
(c) P(X<5)
P(X < 5) = 0.928
<u>The probability of calls taking less than 5 minutes is 0.928.</u>
(d) P(X>5)
Knowing that the sum of probabilities of less than and more than has to equal 1:
P(X<x) + P(X>x) = 1
P(X>x) = 1 - P(PX<x)
For P(X>5):
P(X > 5) = 0.286
<u>The probability of calls taking more than 5 minutes is 0.286.</u>
(e) P(X>7)
P(X > 7) = 0.174
<u>The probability of calls taking more than 7 minutes is 0.174.</u>
Answer:
Please check the explanation.
Step-by-step explanation:
- We know that the domain of a function is the set of input or argument values for which the function is real and defined.
Thus, the domain of the first relation is: {-2, -1, 0, 2}
- We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
Thus, the range of the first relation is: {-4, -2, 2}
Given the second relation
x y
-4 -2
-2 1
1 4
4 4
- We know that the domain of a function is the set of input or argument values for which the function is real and defined.
Thus,
The domain of the second relation is: {-4, -2, 1, 4}
- We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
Thus,
The range of the second relation is: {-2, 1, 4, 4}
Y=y=×^3-3x+3 Find the absolute maximum value and min municipal value of the function in l-2,2]
Answer:12 lbs and 4oz
Step-by-step explanation:
It is very hard for me to explain this but i will do my best
for example: a cube has a length, height, and width of 1
the area of the cube is 1 units cubed right?
well when you have a cube that has a length, height, and width of 3, the area of the cube is 9 cubic units
what i mean is that we have to multiply 55 by 9 to find the number of shirts that will fin in the jumbo box.
55 times 9 = 495
the amount of shirts the box can hold is 495