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3 years ago

I/3-2i + 2i/3+8i how do i do this

Mathematics

1 answer:

AVprozaik [17]3 years ago

6 0

62/949+ 297i/949 is the answer to this problem

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Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviat

drek231 [11]

Answer:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

Step-by-step explanation:

For this case we have the following probability distribution given:

X 0 1 2 3 4 5

P(X) 0.031 0.156 0.313 0.313 0.156 0.031

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

We can verify that:

$\sum_{i=1}^n P(X_i) = 1$

And $P(X_i) \geq 0, \forall x_i$

So then we have a probability distribution

We can calculate the expected value with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5$

We can find the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496$

And we can calculate the variance with this formula:

$Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246$

And the deviation is:

$Sd(X) = \sqrt{1.246}= 1.116$

6 0

3 years ago

Express 0.000089 in scientific notation

MrRissso [65]

8.9 x 10^-5 in scientific notation

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4 years ago

What is the measure of ABC?

leva [86]

Answer:

Step-by-step explanation:

the measure of the chord- chord angle ABC is half the sum of the arcs intercepted by the angle and its vertical angle , that is

∠ ABC = $\frac{1}{2}$ (AC + DE) = $\frac{1}{2}$ (75 + 45)° = $\frac{1}{2}$ × 120° = 60°

4 0

2 years ago

It’s a Class of 24 students,5/6 are boys.<br> How many boys are in the class?

Hoochie [10]

Answer:

son 14

Step-by-step explanation:

por que solo se resta para saber el numero de niños

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3 years ago

(a^(2) - 25)x = 3a + 15<br> solve for a

trasher [3.6K]

Answer:

Idk I think it is 6....but I could be wrong.

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3 years ago

Read 2 more answers