find the expected value of a random variable with the following probability distribution :
2
3
4
5
6
7
8
9
10
11
12
———
1/36
1/18
1/12
1/9
5/36
1/6
5/36
1/9
1/12
1/18
1/36
Answers
Answer:
7
Step-by-step explanation:
correct with acellus
The expected value of a random variable with the following probability distribution will be 7.
How to calculate the expectation of a discrete random variable?Expectation can be taken as a weighted mean, weights being the probability of occurrence of that specific observation.
Thus, if the random variable is X, and its probability mass function is given being f(x) = P(X = x), then we have:
[tex]E(X) = \sum_{i=1}^n( f(x_i) \times x_i)[/tex]
[tex]\rm E(X)=2 \times \frac{1}{36} +3 \times \frac{1}{28} +4 \times \frac{1}{12} +5 \times \frac{1}{9} +6 \times \frac{5}{36} + 7 \times \frac{1}{6} +8 \times \frac{5}{36}+9 \times \frac{1}{9} +10 \times \frac{1}{12} +11 \times \frac{1}{18} +12 \times \frac{1}{36} \\\\ E(X)=7[/tex]
Hence the expected value of a random variable will be 7.
To learn more about the expected value refer to the link:
https://brainly.com/question/4515179
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Answer:
Step-by-step explanation:
5i² + 12i - 32i = 5i² - 20i
= 5i² - (5*4*i)
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Answer:
a = 5 c =11
Step-by-step explanation:
Answer:
sqrt[(80^2) + (20^2)] = (bottom base of the entire rectangle)
= 20(sqrt(17)) units or about 82.46211 units
find angle at bottom corner
arctan(20/80) = about 14.04624 degrees
cos(14.04624) = 20(sqrt17) / (80+a)
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Step-by-step example:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
A linear function is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
An exponential equation is written as:
y = A*(r)^x
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If a and A are both positives, the similar characteristic of both types of functions is that as x increases, then the value of y will also increase. Then both functions are increasing functions.
They are different in how they increase, while a linear function increases at a constant rate, an exponential function increases slow at the beginning and really fast as x increases, as you can see in the image below where we compare the two types of functions, the green one is the linear function, and the blue one is the exponential function.
A system of inequalities can have no solution?
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Answers
Answer:
True
Step-by-step explanation:
3(x+5) - 3 = 2(3x + 1) - 3
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Answers
Answer:
Step-by-step explanation:
1 solution: x=13/3
What value of x makes this equation true? 2/3x - 5 = 1/6x + 3
Answers
Answer:
D(16)
Step-by-step explanation:
2/3x-5=1/6x+3
Multiply on both sides by 6
4x-30=x+18
Change its sign and move the variable to the left hand side
4x-x-30=18
4x-30=x+18
4x-x=18+30
3x=18+30
Add the numbers
3x=48
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x=16
Find the slope
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Answers
Answer:
m = -2
Step-by-step explanation:
Let (x1 , y1 ) = ( 3 , 8) and (x2 , y2 ) = ( 2 , 10)
Now
slope (m)
= y2 - 1 / x2 - x1
= 10 - 8 / 2-3
= - 2
hope it helps :)
Answer:
m = -2
Step-by-step explanation:
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Answers
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enter your answer as a proper fraction or mixed number
Answers
Answer:
3 4/7
Step-by-step explanation:
5 times 5/7 = 25/7
= 3 4/7
Answer:
3 4/7
Step-by-step explanation:
5/1 x 5/7 = 25/7 = 3 4/7
A swimming pool is shaped like a cylinder with a radius of 15 feet and a height of 6 feet
Answers
Answer:
4239 cubic feet
Step-by-step explanation:
V=[tex]\pi[/tex][tex]r^{2} *h[/tex]
V=3.14*225*6
V=3.14*1350
V=4239
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Answers
Answer:
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Step-by-step explanation:
Orlando wants to buy a new TV. The price was $985. When he goes to the store a second time, he found that price was marked down by 35%. What is the new price of the TV?
Answers
Which statement describes a unit rate?
A.Alex eats 3 apples.
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Answer:
c. 3 pages per minute
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Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice.
How many cups of carrot juice are used for each cup of apple juice?
Answers
Answer:
1/2 cup of carrot juice for each cup of apple juice.
Step-by-step explanation:
The ratio of carrot juice to apple juice is 3:6
Also written as 1:2
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Answers
Answer:
Is red 3.33 triangle
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Answers
Answer:
I think y=-5 , x = 3
Answer:
y = 5/3x - 5
Step-by-step explanation:
Slope = rise / run
The distance between two points is 5 up and 3 right. Hence, 5/3x is the slope.
-5 is where the line crosses the y axis, making it the y-intercept.
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Answers
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
David is saving up money to buy a new car. He had $1,350 saved up 4 months ago, and now has $2,150. He adds the same amount of money each month
Step-by-step explanation:
I'm not clear on your actual question, but I'm guessing you want to know how much money he has saved each of the last four months.
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Solve the following equation:
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Answers
Answer:
11/5
Step-by-step explanation:
If you need help with more problems like this you can use m a t h w a y. (remove the spaces) :)
STEP BY STEP PLEASE
If the perimeter of square 3 is 36 units and the perimeter of square 2 is 48 units, what is the area of square 1?
Answers
Then, we find the side length of square 2 by dividing it by 4, which is 12.
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a^2+b^2=c^2
9^2+12^2=c^2
81+144=225
So the area is 225 units.
Answer:
225
Step-by-step explanation:
length of side in square 3 = 36/4
=9
length of side in square 2 = 48/ 4
= 12
using pythagorus theorem you can find side of square 1
take the triangle between 3 and 2
9^2 + 12^2 = length of side 1^2
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225 = l^2
l = 15
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ask if you didn't understand something or you think i am wrong:)
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Answers
Answer:
?????????
Step-by-step explanation:
?????????
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The population of a city is 250,000 and the annual growth rate is 2.2% Write an equation to model the population y after x years.
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Answer:
bueno, es 3.70 así que espero que ayude um buena suerte ~ nena ~
Step-by-step explanation:
9. Find the value of x.
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Answers
Answer:
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Step-by-step explanation:
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answer correctly or reported
Answers
Answer:
c=3
Step-by-step explanation:
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Answers
Answer:
35 years old
Step-by-step explanation:
Let Janice's age = j.
Let Ross's age = r.
j = 5r
j = r + 28
Set the equations equal to each other.
5r = r + 28
4r = 28
r = 7
j = 5r
j = 5(7)
j = 35
Answer: 35 years old
An anchor is released from a boat and begins sinking. Its
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Answers
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
125/12.5=10
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