Answers
Answer:
a) 'X' be the random variable in discrete distribution
b) The value of y = 0.2
c) The mean value or Expectation value
E (X) = 1.25
d)
The variance σ² of the discrete distribution function is
Variance ( V(x)= 1.2875
Step-by-step explanation:
Step(i):-
Given data
x : 0 1 2 3 4
P(x) : 0.30 0.35 y 0.10 0.05
a)
Let 'X' be the random variable in discrete distribution
Given data is discrete distribution
i) If the numbers [tex]p(x_{i} )\geq 0[/tex] for all values of 'i'
ii) ∑P(x) = 1
Given data [tex]p(x_{i} )\geq 0[/tex] for all values of 'i'
∑P(x) = 1
0.30+0.35+y+0.10+0.05 =1
y + 0.8 = 1
y = 1 -0.8 = 0.2
b) The value of y = 0.2
Step(ii):-
Expectation:
Given data
x : 0 1 2 3 4
P(x) : 0.30 0.35 0.2 0.10 0.05
The mean value or Expectation value
E (x) = ∑ x p ( X = x)
= 0 × 0.30 + 1 × 0.35 + 2 × 0.2 + 3 × 0.10 + 4 × 0.05
= 0 + 0.35 + 0.4 + 0.30 + 0.2
= 1.25
Variance of X
The variance σ² of the discrete distribution function is defined by
σ² = ∑ x² p(x=x) - μ²
= 0× 0.30 + 1² × 0.35 + 2²× 0.2 +3²× 0.10 + 4²× 0.05 - (1.25)²
= 0 + 0.35 + 0.8 + 0.9 + 0.8 - 1.5625
= 1.2875
conclusion:-
The mean value or Expectation value = 1.25
The variance σ² of the discrete distribution function
V(X) = 1.2875
Related Questions
Joshua is going to mow lawns during his summer break. The graph in the figure shows a linear relationship between the number of weeks he will be
mowing and the number of lawns he will mow. If he earns $25 for each lawn he mows, how much money will he earn after mowing lawns 5 weeks?
A. $125
B. $750
C. $1,500
D. $3,000
Answers
Answer:
$1,500
Step-by-step explanation:
We see on the graph that he mows 60 lawns in 5 weeks so if we multiply 60 by 25 because 25 is the amount of money he makes for each lawn he mows, we get 1,500 dollars.
please mark me brainliest!
Struggling!!! Math help plss!!!
Answers
Answer:
Step-by-step explanation:
Richard made tables of values to solve a system of equations. First he found
that the x-value of the solution was between 0 and 1, and then he found that it
was between 0.5 and 1. Next, he made this table.
Answers
Answer:
(0.9,4.2)
Step-by-step explanation:
Given:
The table above such that
[tex]y = -x + 5[/tex]
[tex]y = 6x - 1[/tex]
Required
Approximation of the solution
To do this, we start by equating both values of y
[tex]-x + 5 = 6x - 1[/tex]
Collect like terms
[tex]-x - 6x = -5 -1[/tex]
[tex]-7x = -6[/tex]
Divide both sides by -7
[tex]\frac{-7x}{-7} = \frac{-6}{=7}[/tex]
[tex]x = \frac{6}{7}[/tex]
[tex]x = 0.8571[/tex]
[tex]x = 0.9[/tex] (Approximated)
Substitute [tex]\frac{6}{7}[/tex] for x in any of the expression of y
Using [tex]y = -x + 5[/tex]
[tex]y = -\frac{6}{7}+ 5[/tex]
[tex]y = \frac{-6+35}{7}[/tex]
[tex]y = \frac{29}{7}[/tex]
[tex]y = 4.1[/tex] (Approximated)
The closest to this is option D
(x,y) = (0.9,4.2)
Evaluate f(x) =1/3x for x = 4.
Answers
Answer: 1 1/3 or 4/3
Step-by-step explanation: f(4) =1/3(4) = 4/3 = 1 1/3
Solve for x in the diagram.
Answers
Answer:
x = 15
Step-by-step explanation:
Using Pythagorean Theorem
=> [tex]c^2 = a^2+b^2[/tex]
Where c= x, a = 12, b = 9
=> [tex]x^2 = (12)^2+(9)^2[/tex]
=> [tex]x^2 = 144+81[/tex]
=> [tex]x^2 = 225[/tex]
Taking sqrt on both sides
=> x = 15
12^2-9^2 =63
Square root of 63 is 7.93725...
Answer is 7.94 rounded up
Which function is the result of vertically shrinking ƒ(x) = x2 by a factor of 1∕3 and translating it to the right 7 units?
Question 3 options:
A)
Y = x2 - 7
B)
Y = 1∕3 (x -7)2
C)
Y = 1∕3 (x +7)2
D)
Y = x2 + 7
Answers
Answer:
B) Y = 1/3 (x-7)^2
Step-by-step explanation:
To vertically shrink the function by a factor of 1/3, we just need to multiply it by the factor, that is:
[tex]y = (1/3) * f(x)[/tex]
[tex]y = (1/3) * x^2[/tex]
[tex]y = x^2 / 3[/tex]
Now, to translate the function 7 units to the right, we just need to substitute the values of x in the function by (x-7):
[tex]y = (x-7)^2 / 3[/tex]
So the correct option is B)
Answer:
Y = 1∕3 (x -7)2
Step-by-step explanation:
which of the following does NOT represent a function ?
Answers
Answer:. C is not a function.
Step-by-step explanation: If there is more than one y-value for each x-value, it can't be a function. The elipse has two y-values for each x.
Answer:
It will be the third option.
Step-by-step explanation:
2. Which situation does have a final value of 0?
A. A jet rose to a height of 1000 feet above the ground. It then descended to a height of 100 feet.
B. The temperature at 1:00 p.m. was 10°F. It dropped another 10° over 4 hours.
C. Pace deposits $10 in his account and then withdrew $10.
D. Keith gained 8 yards during the first quarter of the football game and then lost 8 yards during the second quarter.
BTW ITS #2 not #3 :)
Answers
Answer:
The answer is d i think
Step-by-step explanation:
ASAP If you chose Equilateral Equiangular Triangle Rotation to prove SAS Congruence, use the coordinates of your rotation to show that the two triangles are congruent by the SAS postulate. You can use the distance formula to show congruency for the sides. To show an angle is congruent to a corresponding angle, you can use slope or your compass and straightedge. (Hint: Remember when you learned how to copy an angle?) You must show all work with the distance formula for the corresponding pair of sides, and your work for the corresponding angles, to receive full credit.
Answers
Based on the SAS congruence criterion, the statement that best describes Angie's statement is:
D. Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
An included angle is found between two sides that are under consideration.
See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.
Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.
The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".
Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:
D. Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
Learn more about congruency at
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Simplify as a ratio: 100:199:47
Answers
Answer:
Find GCF of all values in the given ratio
GCF(100, 199, 47) = 1
When GCF value is equal to 1, the given ratio can not be simplified.
Step-by-step explanation:
It cant be simplified
Answer:
100:199:47
Step-by-step explanation:
The ratio cannot be simplified.
The numbers 199 and 47 are prime numbers, and only have the factors of 1 and themselves.
If CD is a segment bisector of AB and AB = 17, find AP. Question 19 options: A) 17 B) 34 C) 68 D) 8.5
Answers
Answer:
8.5.....
Step-by-step explanation:
The length of AP is 8.5 units.
To find length of AP.
What is bisector?Bisecting a line is cutting a line exactly in half. It may also be referred to as constructing a perpendicular bisector as the line you are drawing will be at a right angle to the original line. A line, a ray, a line segment, or a point that cuts a line segment at the center dividing the line into two equal parts.
Given that:
AB=17 units
The segment bisector is a line that passes through the midpoint of a given segment.
It's a segment bisector which means the other line bisects the direct middle of AB. 17/2 is 8.5, meaning that AP should be 8.5.
AP=8.5
So, the length of AP is 8.5 units.
Learn more about bisector here:
https://brainly.com/question/16995881
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For two months, Milan used the same landscaping maintenance company. The company had a fixed reservation rate per month, plus an hourly rate for the amount of time that is spent on landscaping work. Milan received two bills from the landscaping company. The first bill was $120.75 for 2.75 hours of
landscaping work and the second bill was $160.50 for 5.25 hours of landscaping work. Find the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour. Round to the nearest cent, if necessary.
Answers
Answer:
The equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025
Step-by-step explanation:
The first bill amount for 2.75 hours of landscaping work = $120.75
The second bill amount for 5.25 hours of landscaping work = $160.50
No we are supposed to find the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour
So, we will us two point slope form to find the equation:
Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex](x_1,y_1)=(2.75,120.75)\\(x_2,y_2)=(5.25,160.50)[/tex]
Substitute the values in the formula
[tex]y-120.75=\frac{160.50-120.75}{5.25-2.75}(x-2.75)\\y=15.9x+77.025[/tex]
Hence the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.
Answers
Answer: Slope 1/4 therefore slope of new line would be -1/4
Step-by-step explanation:
The points of the inverse of the line provided on the graph are as under:
x=2,y=5
x=0,y=-5
x=1,y=0
What is the inverse of a line?
It means interchanging the values of x with the values of y and form a line which is known a inverse of a line.
How to graph the inverse of a line?firstly point out the points from the graph given in the question as in the graph1 below
now by interchanging the values we get the values of inverse of the line as in the graph 2
By plotting these points on the graph we get the inverse of the line which is in the graph 3
Learn more about inverse of a line at https://brainly.com/question/4335018
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Scarlett made 36 muffins on Tuesday, and 20 of the muffins were blueberry. What is the ratio of blueberry muffins to all muffins?
Answers
Answer:I belive it is 56 I may be wrong but it iz what it iz
Step-by-step explanation:
Answer:
20 blueberry muffins: 36 muffins
if you want simplest form, then 5 blueberry muffins: 9 muffins
Step-by-step explanation:
Simplest form=
blueberry muffins= 20/4=5 blueberry muffins
muffins= 36/4=9 muffins
5 blueberry muffins: 9 muffins
FIRST GETS BRAINLLEST If each 2 cm on the scale drawing below equals 8 feet, what is the actual length of the green line? 16ft 18ft 19.5 ft 21 ft
Answers
Answer: The correct answer is 18ft
Step-by-step explanation:
Answer:
16 ft
Step-by-step explanation:
If you simply the ratio of 2/8 it becomes 1/4
This means that it has to be a multiple of 4
Determine the area of the given kite. ANSWERS: 342 square units 2520 square units 5040 square units 684 square units
Answers
Answer: 342 square units
Step-by-step explanation:
Area of a kite = pq / 2 ( where PQ represents both diagonals)
Area = (38 x 18) / 2
Area = 684 / 2
Area = 342
HELP ASAP BRAINLIEST AND THX!
Answers
Answer:
A.
Step-by-step explanation:
There are crows and groundhogs in a field. All of them together have 15 heads and 40 legs. How many of each animal are in the field?
Answers
Answer:
10 crows and 5 ground hogs
Step-by-step explanation:
10 ×2 is 20 because crows have 2 legs then we do 5×4 which is 20 because ground hogs have 4 legs 10 +5 equals 15 because each animal has one head
Just like the other answer said the crows would be 10 making it 20
Legs and 10
Heads and 5 more heads for a ground hog would equal 15 heads plus another 20 legs equals 40 leafs
Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.
Answers
Answer:
The third and fourth options.
Step-by-step explanation:
You simplify the inequality first...
-6x + 15 < 10 - 5x
-x < -5
x > 5
The first option is incorrect since it is less than.
The second option is basically -5x < 15; x > -3; that's incorrect.
The third option is basically -x < -5; x > 5; that is correct!
The fourth option is correct since it shows more than 5.
The fifth option is incorrect because it shows less than -5.
Hope this helps!
Answer: The answer is C and E
Step-by-step explanation:
Hope this helps;)
What is the value of n in the equation below?
StartFraction 12 Superscript n Over 12 Superscript 5 EndFraction = 12 Superscript 4
Answers
Answer:
9 is the answer happy to help
Answer:
12
Step-by-step explanation:
Edge
The point (2,-5) is reflected over the y-axis. Which of the following points is the image?
(-2,5)
(-2,-5)
(2,-5)
(2,5)
Answers
and distance of the last ramp is ______ feet (round to the nearest foot)
Answers
Answer:
The distance of the last ramp is 10 feet.
Step-by-step explanation:
From the options and the question, I assume that the height of the ramp is 6 feet. Pythagorean theorem states:
a² + b² = c²
where c is the hypotenuse, and a and b are the legs of the triangle. In this case:
6² + 8² = x²
√100 = x
10 ft = x
John is four years younger than Paul who is p years old. How old will John be in two years?
Answers
Answer:
In two years, John will be two years younger than Paulś age today, or four years younger than Paul at the time.
Step-by-step explanation:
Does this table represent a function? why or why not?
Answers
Answer:
I think it's A but I could be wrong
Answer: B
Step-by-step explanation:
A graph or table is a function if it passes the vertical line test. That means, each x and only 1 y. One x cannot have more than 1 y because, that means it does not pass the veritcal line test. In the vertical line test, the vertival line only passes through 1 point, not 2. Since we know that this graph does not pass the vertical in test, we can eliminate C and D. We can eliminate A because 2 y-values can be the same as lone as there have different x. B fits the description of what we see on the table. Therefore, the answer is B.
Given the following function find f(-2)
Answers
Answer:
f(-2) = 1
Step-by-step explanation:
Simply plug in -2 for x in our given function:
f(-2) = (-2 - 3)/(2(-2) - 1)
f(-2) = -5/(-4 - 1)
f(-2) = -5/(-5)
f(-2) = 1
Answer:
1
Step-by-step explanation:
Plug x as -2 and solve.
(-2 - 3)/(2(-2) - 1)
-5/(-4 - 1)
-5/-5
= 1
Please i need with this ASAP..Thanks
Answers
Answer:
0.7667
Step-by-step explanation:
P(trian) = 1÷6 = 0.1667
P(bus) = 3÷5 = 0.6
therefore total P(both) = 0.6 + 0.1667
= 0.7667
-b -b +5 pls show work and solve
Answers
Answer:
Step-by-step explanation:
-b -b +5
= -2b + 5
59. A car dealership has SUVs and sedans in a ratio of
5:9. How many sedans does the car dealership
have if there are 140 SUVs?
Answers
Answer:
The car dealership has 252 sedans.
Step-by-step explanation:
Number of SUVs = 140
Ratio of SUVs to sedans = 5:9
Sum of ratios = 5+9 = 14
Total number of cars = 14/5 × 140 = 392
Number of sedans = 9/14 × 392 = 252
Write an equation of the line passing through the point (7,3) that is parallel to the line 4x-7y=9
Answers
Answer:
y = -7/4x + 61/4
Step-by-step explanation:
Step 1: Write equation in slope-intercept form
-7y = 9 - 4x
y = 4/7x - 9/7
Step 2: Find slope of perpendicular line
Take the negative reciprocal of the 1st equation
m = -7/4
Step 3: Write out known variables
y = -7/4x + b
Step 4: Find b
3 = -7/4(7) + b
3 = -49/4 + b
b = 61/4
Step 4: Rewrite equation
y = -7/4x + 61/4
-5/7 times 1/5 please help solve
Answers
Answer:
-1/7
Step-by-step explanation:
-5/7 × 1/5
Multiply numerator with numerator and denominator with denominator.
-5/35
Simplify.
-1/7
Answer:
Brainliest1
Step-by-step explanation:
-5/7 x 1/5 = -5/35 = -1/7