The expected value of the discrete distribution is of 20.97, hence option C gives the correct answer.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability.</u>
Hence, according to the table, the expected value is given by:
E(X) = 12 x 0.08 + 18 x 0.15 + 20 x 0.31 + 22 x 0.08 + 24 x 0.15 + 25 x 0.23 = 20.97.
More can be learned about the expected value of a discrete distribution at brainly.com/question/26660401
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Answer:
Step-by-step explanation:
a_1 = 15
a_2 = a_1 - 3
a_2 = 15 - 3
a_2 = 12
a_3 = a_2 - 3
a_3 = 12 - 3
a_3 = 9
a_4 = a_3 - 3
a_4 = 9 - 3
a_4 = 6
a_5 = 3
a_6 = 0 I'm leaving these last two to expand
a_n = a1 - (n - 1)*d
a_n = 15 - (n - 1)*3
a_n = 15 - 3n + 3
a_n = 18 - 3n
Example
a_6 = 18 - 3*6
a_6 = 0
Problem B
t(1) = 108
t(1 + 1) = 1/3 * 108
t(2) = 36
t(3) = 1/3 * t2
t(3) = 1/3 * 36
t(3) = 12
t(4) =1/3 (t(3))
t(4) = 1/3 * 12
t(4) = 4
t(5) = t4 / 3
t(5) = 4 / 3
t(5) = 1.3333333
So the explicit definition is
t(n) = 108 (1/3)^(n - 1) You could simplify this a little bit by realizing that 108 is made of three 3s.
t(n) = 4 * 3^3 * (1/3)^(n - 1)
t(n) = 4 * (1/3) ^ (n - 4)
Example
t(5) = 108 (1/3)^4
t(5) = 108(1/81)
t(5) = 1.3333333
And using the simplified formula, you get.
t(5) = 4 * (1/3)^1
t(5) = 1.333333 which is the same thing as the original result.
The equation for this would be 41/4 + 52/3 - 41/3= ?
So then you just change all the denominators to their lcm, which is 12 and multiply the numerator accordingly.
123/12 + 208/12 - 164/12 = 167/12
The two lines intersect at the point (4,-1)
Answer:
see explanation
Step-by-step explanation:
1
x - 4 = 20 ( multiply through by 3 to clear the fraction )
2x - 12 = 60 ( add 12 to both sides )
2x = 72 ( divide both sides by 2 )
x = 36
2
4 =
( multiply both sides by 2 to clear the fraction )
8 = - 1 + x ( add 1 to both sides )
9 = x
3
12(x + 9) = - 108 ( divide both sides by 12 )
x + 9 = - 9 ( subtract 9 from both sides )
x = - 18
4
5x + 14 = - 7 ( subtract 14 from both sides )
5x = - 21 ( divide both sides by 5 )
x = -
= - 4.2