a) P[2Y< 1.9]
Let Z = 2Y. Then Z ~ Uniform(0, 4)
1.9 is in the support of Z.
So P[Z< 1.9] = (1.9)/4 = 0.475
b) P[Y(n) < 1.9]
Y(n) is the n^th order statistic of Y1, ..., Y100. Since the Yi's are Uniform(0, 2), Y(n) ~ Beta(n, 100-n+1)
To find P[Y(n) < 1.9], we evaluate the CDF of the Beta distribution at 1.9.
Since n is not given, we consider the extremes:
n = 1: Y(1) ~ Uniform(0, 2) so P[Y(1) < 1.9] = 1.9/2 = 0.95
n = 100: Y(100) ~ Beta(100, 1) so P[Y(100) < 1.9] = 0 (since 1.9 > 2)
Therefore, 0.95 < P[Y(n) < 1.9] < 1 for any n.
In summary:
a) P[2Y< 1.9] = 0.475
b) 0.95 < P[Y(n) < 1.9] < 1 for any n.
Let me know if you have any other questions!
For content loaded , Y1, ..., Y100 as independent Uniform(0, 2) random variables.
a) P[2Y< 1.9]: = 0.475.
b) P[Y(n) < 1.9] = 0.994.
a) To solve this problem, we first need to find the distribution of 2Y. Since Y ~ Uniform(0, 2), we have that 2Y ~ Uniform(0, 4). Therefore, we can rewrite the probability as P[2Y < 1.9] = P[Y < 0.95].
Now, we know that the distribution of Y is continuous and uniform, so the probability that Y is less than any specific value a is equal to (a - 0)/(2 - 0) = a/2. Therefore, P[Y < 0.95] = 0.95/2 = 0.475.
b) For this question, we need to find the probability that the smallest value of Y, denoted by Y(n), is less than 1.9. Since the Y's are independent and identically distributed, the probability of Y(n) being less than 1.9 is equal to 1 - the probability that all Y's are greater than or equal to 1.9.
So, we can write P[Y(n) < 1.9] = 1 - P[Y(1) >= 1.9, ..., Y(100) >= 1.9]. Since the Y's are independent, we can use the fact that the probability of the intersection of independent events is the product of their probabilities, and rewrite this as:
P[Y(n) < 1.9] = 1 - P[Y >= 1.9]^100
Now, we know that P[Y >= 1.9] is equal to the length of the interval (1.9, 2) divided by the length of the entire interval (0, 2), which is 0.1/2 = 0.05. Therefore, we have:
P[Y(n) < 1.9] = 1 - (0.05)^100
Using a calculator, we can find that P[Y(n) < 1.9] is approximately equal to 0.994.
Know more about the independent events
https://brainly.com/question/14106549
#SPJ11
solve each equation by substituting. y=-3x+5
5x-4y=-3
not different problems they are in the same problem
Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 5 → (1)
5x - 4y = - 3 → (2)
Substitute y = - 3x + 5 into (2)
5x - 4(- 3x + 5) = - 3 ← distribute and simplify left side
5x + 12x - 20 = - 3
17x - 20 = - 3 ( add 20 to both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Substitute x = 1 into (1) for corresponding value of y
y = - 3(1) + 5 = - 3 + 5 = 2
solution is (1, 2 )
Answer:
x = 1 and y = 2
Step-by-step explanation:
y + 3x = 5 -------------> (1)
-4y + 5x = -3 -------------> (2)
(1) * 4
=> 4y + 12x = 20 --------> (3)
(3) + (2)
=> 0y + 17x = 17
=> 17x = 17
by dividing both sides by 17
=> x = 1
by putting x = 1 into (1)
=> y + 3*1 = 5
=> y + 3 = 5
=> y = 5 - 3
=> y = 2
Order the following from LEAST to GREATEST: 3/5, -1/2, 0.50, -7/10, -0.75 *
Answer:
-0.75, -7/10, -1/2, 0.50, 3/5
Answer:
-0.75, -7/10, -1/2, 0.50, 3/5
Step-by-step explanation:
put all of them as a decimal first
3/5 = 0.6 (5)
-1/2 = -0.50 (3)
0.50 = 0.50 (4)
-7/10 = -0.70 (2)
-0.75 = -0.75 (1)
what is the range for a x intercept of (5,0) and a y intercept of (0,3)
Answer:
(5,0)=x1,y1
(0,3)=x2,y2
so the range will be x1-x2/
why do countries, make alliances, in wartime? please someone help me!
Answer:
Most of the time, it is because they need the military aid or the resources that a certain country needs. That's kinda what the UN is all about is aiding each other in times of war
Step-by-step explanation:
Answer:
Because when make allies, they have someone to have their back.
Step-by-step explanation:
For example, If you're in a fight, you're gonna need backup. In war, you need as many people as you can to take down the villain (your opponent). Which means people, ammo, guns, bombs, support, and inside spies. All of this helps and will be easier to defeat the person per-say.
Which shows the distributive property?
1. 5x + 2 = 2 + 5x
2. 5(x + 2) = 5x + 10
3. 5(x + 2) = 5(2 + x)
Write an equation for the following line.
10
-10
10
-101
Evaluate the following expression when x = 5. -4x^2 + 3x + 12
Answer:
-73
Step-by-step explanation:
-4(5)^2+3(5)+12
5^2=25
25*-4=-100
-100+15+12=-73
Solve 3(x - 2) < 18.
What is x?
Answer:
x < 8
Step-by-step explanation:
First you divide 18 by 3, which gives you 6.
x − 2 < 6
Then, you add 2 to 6, which gives you 8, which leaves you with :
x < 8
:)
Answer:
X<8
Step-by-step explanation:
Distribute the 3 to get 3x-6<18. Then add the 6 to 18 leaving 3x<24. Then divide 24 by 3 to leave x by itself. x<8
I hope this helped! :)
-2 + b < 3
.............
Answer:
I believe we are solving for b. b<5
Step-by-step explanation:
will give brainliest at the right answer
Answer:
1.) 40.0 2.) 75.00 3.) 140.00 4.) 200.00 5.) 500.00 6.) 1300.00 7.) 70.0000
8.) 10.00 9.) 245.00 10.) 900.00
Safeway has ginger ale on sale at 12 cans for $4.00 and Giant has the same brand
of ginger ale on sale for 20 cans for $6.00. Which store has the better deal?
Answer:
Giant
Step-by-step explanation:
Giant: .30c a can
Safeway: .33c a can
what is the equation?
Answer:
y=22x
Step-by-step explanation:
If x=1 and y=22 then y=22x
Given g(x) = -5x+ 2, find g(4).
Answer:
Answer:
-18
Step-by-step explanation:
g(x)=-5x+2
g(4)=-5(4)+2=-20+2=-18
Answer:
-18
Step-by-step explanation:
Which of the following expressions are equivalent to 5(m + 3)? hurryy
Answer:
B 5m + 15
Step-by-step explanation:
Use the distributive property and multiply 5 by both terms inside the parentheses.
5(m + 3) = 5 * m + 5 * 3 = 5m + 15
Answer: B 5m + 15
Select the correct answer.
Identify the expression equivalent to 4(x + x + 7) - 2x+8 - 4 by substituting x = 1 and x = 2.
ОА.
6x +11
OB. 3(x + 7)
OC. 2(3x + 16)
OD.
3x + 16
Reset
Next
Answer:
c
Step-by-step explanation:
The expression equivalent to this expression is 2(3x+16)
Data;
x = 1x = 2Equivalent ExpressionThe given expression is 4(x+x+7) -2x + 8 -4
Let's simplify this
[tex]4(x+x+7) -2x +8 - 4\\4(2x+7) -2x +4 = 8x + 28 - 2x + 4 = 6x + 32[/tex]
This can be simplified as
[tex]6x+ 32 = 2(3x + 16)[/tex]
The expression equivalent to this expression is 2(3x+16)
Learn more on equivalent expression here;
https://brainly.com/question/405965
Triangle V P M. Angle V is 52 degrees, angle P is 78 degrees, angle M is x degrees.
Answer:
[tex]x = 50[/tex]
Step-by-step explanation:
[tex]52 + 78 + x = 180[/tex]
[tex]130 + x = 180[/tex]
[tex]x = 180 - 130[/tex]
[tex]x = 50[/tex]
this is just for fun ong sooo yeaaa **delete spaces**
https://meet. go ogle. com/vqk-wfjs-dsa
Answer:
im fanna join
Step-by-step explanation:
A. Linear
B. Exponential
C. Neither
B. Draw any pictures showing the ratios of:
1. 2 to 5
2.6 to 8
3.4 to 7
4.3 to 9
what is 146 / pi as a fraction
Answer:
Step-by-step explanation:
[tex]\frac{146}{\pi}\\ \\ \text{Pi is irrational and cannot be expressed as a ratio of two integers.}\\ \\ \frac{146}{\pi}\approx 46.47[/tex]
Find the missing side length
Answer:
b
Step-by-step explanation:
7/8m^3 +3-1/2m^3. can u please help me solve this
Answer:
3m^3/8 + 3
Step-by-step explanation:
It can't be solved but that's the most simplified version.
Answer:
15/8m^3
Step-by-step explanation:
7/8m^3+2/2m^3
7/8m^3+1/m^3
=15/8m^3
The sum of two numbers is 12. The product of those same two numbers is -64. Find the numbers.
Answer: The answer for the 2 numbers are 16 and -4.
Step-by-step explanation: 16 + (-4) is 12, and 16 x (-4) is -64.
3÷1 1/4
i need to know ASAP and i need to know how to do it
Answer:
2.4 or 2[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Let's set this up:
We have 3/1[tex]\frac{1}{4}[/tex]
That's also 3/1.25
For division, we don't divide if there is a fraction, so we move the decimal place over to the right for both the numbers
300/125
Then you long divide as normal:
And it's really hard to show how to long divide on a computer so I'm just going to go ahead and assume you know how to.
But the answer to that would be 2.4 or 2[tex]\frac{2}{5}[/tex]
Thank you, let me know if you have any questions.
4(x - 9) plz answer quickly
Answer:
4x - 36
Step-by-step explanation:
the output is double the input
Pleasee help wit this
Answer:
Step-by-step explanation:
f(-9)=2(-9)²+5(-9)+20
= 162-45+20
= 137
Answer:
137
Step-by-step explanation:
f(-9) = 2(-9)^2 + 5(-9) + 20
= 162 - 45 + 20
= 137
what is the value of x in the triangle??
Answer:
x=40°
Step-by-step explanation:
Every triangles area equals 180
75+65=140
180-140=40
Answer:
40
Step-by-step explanation:
All angles in a triangle add up to 180°.
65° + 75° + x° = 180
140° + x° = 180°
-140 -140
x° = 40°
Which story shows 1/3 divided by 5?
(07.02)
How many solutions can be found for the equation 4x+5=10?
A. Zero
B.One
C. Two
D.Infinitely Many