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:
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Related Questions
Solve the following equation:
1/3(y - 2) -5/6 (y + 1) =3/ 4(0 - 3) - 2
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.
To find the AREA of square 1, we do a^2+b^2=c^2. This is basically adding up area of square 1 and square 2 to get square 3.
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
81 + 144 = l^2
225 = l^2
l = 15
therefore length of side 1 is 15
area of square 1 = 15^15
area = 225 square units
hope this helped
ask if you didn't understand something or you think i am wrong:)
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Answer:
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
1 solution: x=13/3
Round 2.77247497243 to the nearest millionth.
Answers
Answer: 2.7725
Step-by-step explanation:
Answer:
2.7725
Step-by-step explanation:
Which statement describes a unit rate?
A.Alex eats 3 apples.
B.Kyle runs 3 miles over 2 days.
C. Zack reads 3 pages of his book per minute. D.Michael adds 3 cups of sugar for every 2 cups of flour
Answers
Answer:
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Answers
Answer:
10
Step-by-step explanation:
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Step-by-step explanation:
125/12.5=10
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A system of inequalities can have no solution?
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b)false
Answers
Answer:
True
Step-by-step explanation:
Identify and describe the error in the incorrect counselor's work.
Answers
Answer:
?????????
Step-by-step explanation:
?????????
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Answers
Answer:
3 4/7
Step-by-step explanation:
5 times 5/7 = 25/7
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Answer:
3 4/7
Step-by-step explanation:
5/1 x 5/7 = 25/7 = 3 4/7
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Answers
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Change its sign and move the variable to the left hand side
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Answers
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
Where A is the initial quantity and r is the rate of growth.
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.
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An anchor is released from a boat and begins sinking. Its
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per second. Where is the anchor with respect to the surface
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Answers
you multiply -10 and nine and you get -90 hope this helps.
Step-by-step explanation:
At janices age she is not only 5 times older than ross, but she is 28 years older than ross. How old is janice?
Answers
Answer:
35 years old
Step-by-step explanation:
Let Janice's age = j.
Let Ross's age = r.
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Answers
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Answers
Answer:
I think y=-5 , x = 3
Answer:
y = 5/3x - 5
Step-by-step explanation:
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answer correctly or reported
Answers
Answer:
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Step-by-step explanation:
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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:
I NEED HELP IM BEGGING WILL MARK BRAINLEST
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Answers
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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use pythag for side c
(20^2) + (5^2) = c^2
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Step-by-step example:
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.
Answers
Answer:
bueno, es 3.70 así que espero que ayude um buena suerte ~ nena ~
Step-by-step explanation:
Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice.
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Answers
Answer:
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Step-by-step explanation:
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Answers
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:
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Answers
Answer:
-20
Step-by-step explanation:
Answer:
It's -20F :)
Step-by-step explanation:
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