Answer:
(1). y = x ~ Exp (1/3).
(2). Check attachment.
(3). EY = 3(1 - e^-2).
(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.
Step-by-step explanation:
Kindly check the attachment to aid in understanding the solution to the question.
So, from the question, we given the following parameters or information or data;
(A). The probability in which attempt to establish a video call via some social media app may fail with = 0.1.
(B). " If connection is established and if no connection failure occurs thereafter, then the duration of a typical video call in minutes is an exponential random variable X with E[X] = 3. "
(C). "due to an unfortunate bug in the app all calls are disconnected after 6 minutes. Let random variable Y denote the overall call duration (i.e., Y = 0 in case of failure to connect, Y = 6 when a call gets disconnected due to the bug, and Y = X otherwise.)."
(1). Hence, for FY(y) = y = x ~ Exp (1/3) for the condition that zero is equal to y = x < 6.
(2). Check attachment.
(3). EY = 3(1 - e^-2).
(4). Var[y] = 3(1 - e^-2) (1 -3 (1 - e^-2)) - 36e^-2.
The condition to follow in order to solve this question is that y = 0 if x ≤ 0, y = x if 0 ≤ x ≤ 6 and y = 6 if x ≥ 6.
First, we have to find how many small cubes formed by the large cube.
To find the number of small cubes, we should calculate the volume of each large cube and small cube. Equalize the volume units to dm³
Dimension of large cube
s = 1 m
s = 10 dm
Volume of large cube
v = s³
v = 10³
v = 1,000 dm³
Dimension of small cube
s = 1 dm
Volume of small cube
v = s³
v = 1³
v = 1 dm³
Second, calculate the number of small cubes formed
n = volume of large cube / volume of small cube
n = 1,000 dm³ / 1 dm³
n = 1,000
There are 1,000 small cubes.
Third, calculate the height of the structure.
The structure is formed by 1,000 cubes. Each of them is 1 dm high.
The height of the structure is
h = 1 dm × 1,000
h = 1,000 dm
h = 100 m
The height of the structure is 1,000 dm or 100 m
Answer:
99407/100000
Step-by-step explanation:
100000 - 593 = 99407
<span>The "unit price" tells gives the cost per pound, quart, or other unit of a food package. If you compare the cost of the same unit of the same food you can save money. </span><span>
Different kinds of discounts will affect differently the total unit price of each size.</span>
2 inches wide
that means that the height of the large carton is 2 inches
find the volume of the carton
V=108 times volume of small box
V=108 times 1 times 2 time s3
V=648 in^2
height is 2
V=LWH
648=LW2 (note, this is not LW^2 but 2 times LW)
divie both sides by 2
324=LW
legnth of base is less than 36
div
we just need to find the values of legnth and width such that LW=324 and L<36 and that L or W is divisible by 3 (since each box is 3 inches long)
so lets factor 324
324=2*2*3*3*3*3
group them and find possible values for legnth and width less than 36 and divsible by 3
possible values
(L,W,H) possible values are
(27,12,2)
(18,18,2)
the possible dimentions are
27 by 12 by 2 or
18 by 18 by 2
