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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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:
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
1/2 cup of carrot juice per 1 cup of apple juice
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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)
solve for a: --> a = 5 units
use pythag for side c
(20^2) + (5^2) = c^2
c is about 20.6155 units or 5(sqrt17)
Step-by-step example:
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Answers
Answer:
c=3
Step-by-step explanation:
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Step-by-step explanation:
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Which statement describes a unit rate?
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
5i² + 12i - 32i = 5i² - 20i
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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
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Answer:
225
Step-by-step explanation:
length of side in square 3 = 36/4
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= 12
using pythagorus theorem you can find side of square 1
take the triangle between 3 and 2
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l = 15
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Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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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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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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y = a*x + b
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An exponential equation is written as:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Answer:
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hsbshehehebvdhshhakakkanabsbxh
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Answers
Answer:
35 years old
Step-by-step explanation:
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j = 5r
j = 5(7)
j = 35
Answer: 35 years old