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3 years ago

Ride for a Cause collected $4,020 from their t-shirt fundraiser. They sold 520 short-sleeve and long-

Mathematics

1 answer:

kogti [31]3 years ago

6 0

Step-by-step explanation:

190 long sleeve and 330 short sleeve

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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:

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

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3 years ago

At which values of x does the graph of f(x)=x^2-x-2/(x^2-1)(x^2-16) have a vertical asymptote? Check all that apply

pychu [463]

vertical asymptotes: x=-4 , x=1 , x=4

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192 oz = _____lb what is it help meh ^•_•^

Tems11 [23]

Answer:

12 pounds

Step-by-step explanation:

there are 16 ounces in a pound

192/16= 12

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Anyone know quadratics

VMariaS [17]

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${b}^{2}$
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$2bx$
, we see that the third option is the most efficient way to start

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A rope that is 78 inches in length is divided into 12 equal sections. Which shows the length of each section of the rope? Answer

Montano1993 [528]

Answer:

13/2

Hope this helps :-D

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