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Please see the attachment below.
Related Questions
What kind of triangles are these?
Answers
Answer:
5)isosceles triangle 6)scalene triangle 7)equilateral triangle
plzzzzzzz mark me brainliest plzzzzzzzark request to you
Suppose that X and Y are integer valued random variables with joint probability mass function given by
PX, Y(a, b) = {1/4a, for 1 <= b <= a <= 4
0 otherwise.
a. Show that this is indeed a joint probability mass function.
b. Find the marginal probability mass function of X and Y.
c. Find P(X = Y + 1).
Answers
Answer:
Step-by-step explanation:
1)
Given that:
The joint pmf [tex]p_{X,Y(a,b)}=\left \{ {{\dfrac{1}{4a} \ for \ 1 \le b \le a \le 4 } \\ \\ \atop {0} \ \ \ \ \ \ otherwise} } \right.[/tex]
To emphasize that this is a joint pmf;
We will notice that it obeys two conditions;
it comprises a non-negative number and which is less than 1the sum of all the probabilities adds up and becomes unity.Except that X and Y are integer value variables with 1 ≤ b ≤ a ≤ 4 and X = 1, 2, 3, 4 and Y = 1, 2, 3, 4 respectively, according to the condition Y ≤ X
The table below shows the joint probabilities as a result of this:
y = 1 y = 2 y = 1 y = 4 Total
x = 1 [tex]\dfrac{1}{4}[/tex] 0 0 0 [tex]\dfrac{1}{4}[/tex]
x = 2 [tex]\dfrac{1}{8}[/tex] [tex]\dfrac{1}{8}[/tex] 0 0 [tex]\dfrac{1}{4}[/tex]
x = 3 [tex]\dfrac{1}{12}[/tex] [tex]\dfrac{1}{12}[/tex] [tex]\dfrac{1}{12}[/tex] 0 [tex]\dfrac{1}{4}[/tex]
x = 4 [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{16}[/tex] [tex]\dfrac{1}{4}[/tex]
Total [tex]\dfrac{25}{48}[/tex] [tex]\dfrac{13}{48}[/tex] [tex]\dfrac{7}{48}[/tex] [tex]\dfrac{3}{48}[/tex] 1
In the table, it is obvious that each respective value of the probability is positive and the addition of all the values sums up to unity (1).
Hence, the given probability shows that it is indeed a pmf(probability mass function).
(b)
Marginal Pmf of x = [tex]\dfrac{sum \ of \ all \ prob. \ of (x,y)}{y}[/tex]
Marginal Pmf of y = [tex]\dfrac{sum \ of \ all \ prob. \ of (x,y)}{x}[/tex]
Thus, we can locate the respective values of the marginal probability in the last row as well as the last column in the explained table above.
(c)
To find P(X=Y+1):
P(X = Y + 1) = P(X = 2,3,4)
⇒ 1 - P(X=1)
[tex]\implies 1 - \dfrac{1}{4} \\ \\ \implies \dfrac{4-1}{4} \\ \\ \implies \dfrac{3}{4}[/tex]
A certain coin is a circle with diameter 18 mm. What is the exact area of either face of the coin? The exact årea of either face of the coin is mm2. (Simplify your answer. Type an exact answer in terms of re.)
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I don't understand it sorry
Choose the function that shows the correct transformation of the quadratic function shifted two units to the right one
unit up.
o f(x) = (x - 2)2 - 1
O f() = (x - 2)2 + 1
o f() = (x + 2)2 - 1
o f(x) = (x + 2)2 + 1
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The last one f(x)=(x+2)2+1 because two units to the right is positive and going up is also positive
ASAP pleeeease ASAP ASAP
You are given the results of measurement of resistors. We are testing the
measurement tool. It will pass the technical control if the mean value will be
in the range [198-202] with standard deviation less than 3 Ohms. Will the tool
pass the technical control?
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Answer:
As both the standard deviation and the mean have the desired values, the tool passes the technical control.
Step-by-step explanation:
Mean:
The mean is the sum of all values divided by the number of values.
[tex]M = \frac{199+204+201+197+195+204+200}{7} = 200[/tex]
The mean is in the desired range.
Standard deviation:
The standard deviation is the square root of the sum of the difference squared between each value and the mean, divided by the number of values.
[tex]S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18[/tex]
As both the standard deviation and the mean have the desired values, the tool passes the technical control.
If z is a standard normal variable, find the probability.
The probability that z is greater than -1 82
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Answer:
.
Step-by-step explanation:
Find all values of the variable x for which the rational expression is undefined.
8x+9/x^2-13x+42
The expression is undefined when x=
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Answer:
Step-by-step explanation:
8x+9/x^2-13x+42
Write 8 x as a fraction with denominator 1
8x+9/x^2-13x+42
then we multipuly 8x/1 by x^2/x^2
ending on your answer
What percent of the large square is shaded?
O 56%
O 5%
06%
44 %
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Decide whether the function is polynomial function. If so, write it in standard form and state its degree, type, and leading coefficient.
f(x)= 9x^4 + 8x^3 - 6x^-2 + 2x
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Answer:
It is not a polynomial function, because it includes a negative exponent.
Answer:
Step-by-step explanation:
Leading coefficient = 9
It is in standard form.
It is degree 4
It is a polynomial (I don't think there is a special name for degree 4). Time to eat crow. A 4th degree Polynomial is a quartic.
I didn't notice the power is -2. I am incorrect in telling you it was a polynomial (function). As I noted below, more crow to eat. Please give the Brainliest to the other responder
ME LO RESUELVEN PORFAAAAAAAAAAAA
Answers
Answer:
A = arcTan(8/15) = 0.4900 radians = 28.07°
Step-by-step explanation:
Tan(A) = 8/15
A = arcTan(8/15) = 0.4900 radians = 28.07°
Gemma graph this set of points (0,5), (6,3), (6,-2), (0, -2) then connects them to create
a polygon. What shape did she draw?
A. Rectangle
B. Square
C. Parallelogram
D. Trapezoid
.
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Answer:
D trapezoid
Step-by-step explanation:
i used the graphing demos
which statement is not true about the data shown?
66,89,90,55,92,82
The range is 37.
there is no mode.
the median is 82.
the mean is 79.
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Answer:
believe it is "the median is 82."
Step-by-step explanation:
55,66,82,89,90,92
there are 6 numbers so in order to find the median here you would have to add 82 and 89 together and then divide by 2.
82+89=171
171/2=85.5
hence "the median is 82." is the right answer
12.5g of a medicine cost 1075 naira. what is the cost of 1g medicine
Answers
find the area of the figure
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Answer:
Not enough information
Step-by-step explanation:
Unless this is a square, you don't have enough information to answer this question. It would be 14 * 14 if it was a square which would be 196.
Plz help need help help
Answers
Answer:
8,560
Step-by-step explanation:
8000 x .02 interest/year x 3.5years=560 interest earned
8000+560=8,560 investment worth after 3.5 years
The graph of F(x) below resembles the graph of G(x) = x?, but it has been
changed somewhat. Which of the following could be the equation of F(x)?
Fix) =>
Gix) = x2
A. F(x) - x-2
B. F{X) = 4x2+2
C. Fx) = - - 2
D. FN-4222
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Answer:
B. f(x) = 4x² + 2
Step-by-step explanation:
f(x) = 4 (x - 0)² + 2
vertex: (0 , 2) with vertical stretch
help please mathematics!!!
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Answer:
answer: 16
because 16/20 is an equivalent fraction to 4/5 hope that helps!
Please help is for now
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What is 37.52 rounded to the nearest whole?
38
37.5
37
40
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Answer:
38
Step-by-step explanation:
what is the diameter of 16
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Answer:
d=32
Step-by-step explanation:
Solution
d=2r=2·16=32
Someone help PLEASE thanks
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Answer:
Utiliza la regla
Step-by-step explanation:
Y te sacarasb10
A school paid 31.25 for each calculator if the school bought X calculators then they paid how many dollars
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Answer:
X x 31.25 = D (Dollars)
The length of a rectangle exceeds its width by
3 inches, and the area is 108 square inches.
What are the length and width of the
rectangle?
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l=36in
width = 12in
there's ur answer
appreciation on fixed assets jornal entry
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Answer:
APPRECIATION ON FIXED ASSETS
The value of asset increases due to inflation. Increase value of assets is added with related asset. It is also recorded in credit side of profit and loss account.
Can anyone answer this
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Answer:
108ft²
Step-by-step explanation:
6×6=36
12×12=144
144-36=108ft for the shaded part
Answer:
108 ft²
Step-by-step explanation:
12 ft × 12 ft
144 ft²
6 ft × 6 ft
36 ft²
144 ft² - 36 ft²
108 ft²
Use linear regression to find an equation that would best predict a fair home price based on the
comps given below. Round each variable to 4 decimal places.
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Answer:
y = 0.0807x - 3.4286
Step-by-step explanation:
Given the data above :
X :
1400
1700
1500
Y:
108
133
120
Using a linear regression calculator, the regression equation obtained is :
y = 0.0807x - 3.4286
Slope = 0.0807
Intercept = - 3.4286
x = predictor variable
y = predicted variable
Oscar has read 40% of his chapter book so far. What fraction of the book has Oscar read?
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Answer:
2/5
Step-by-step explanation:
40% = 40/100 = 20/50 = 2/5
Asymptotes of x=3 and y=-2
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Answer:
Both of these values don't have asymptotes.
Answer:
Both of these values don't have asymptotes.
Determine a value of x for each of the following. Give answers in simplest exact form.
cos (11pi/31) = sinx
Answers
9514 1404 393
Answer:
x = 9π/62
Step-by-step explanation:
We can make use of the fact that ...
sin(x) = cos(π/2 -x)
Then ...
π/2 -x = 11π/31
π(1/2 -11/31) = x = 9π/62
Select the correct answer.
Consider function g.
g(x)= 5/x-1 +2
What is the average rate of change of function gover the interval [-4,3]?
ОА. -7/2
OB. 1/2
OC. -1/2
OD. 2
Answers
Answer:
Option B
Step-by-step explanation:
Average rate of change of a function 'f' in the interval x = a and x = b is given by,
Average rate of change of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Given function is,
g(x) = [tex]\frac{5}{x-1}+2[/tex]
We have to calculate the rate of change in the interval [-4, 3],
Average rate of change = [tex]\frac{g(3)-g(-4)}{3-(-4)}[/tex]
g(3) = [tex]\frac{5}{3-1}+1[/tex]
= 2.5 + 1
= 3.5
g(-4) = [tex]\frac{5}{-4-1}+1[/tex]
= -1 + 1
= 0
Average rate of change = [tex]\frac{3.5-0}{3+4}[/tex]
= [tex]\frac{3.5}{7}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, Option B will be the answer.
Answer:
B
Step-by-step explanation:
Edmentum