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Elden [556K]
1 year ago
9

Suppose that x has the density function f(x) = cx 0 < x < 2 identify c

Mathematics
1 answer:
ExtremeBDS [4]1 year ago
4 0

The value of C=1/3 for the probability density function f(x)=cx , 0<x<2.

<h3>What is probability density function?</h3>

The probability density function is a function of a continuous random variable, whose integral across an interval gives the probability that the value of the variable lies within the same interval.

Given that:

f(x)=cx\ \ at\ 0 < x < 2

Here we can see that the value of x is varies as 0,1,2

So at 0,1,2 the value of the function is

f(1)=c\times 1=c\\\\\\f(2)=c\times 2=2c\\\\

So the probability density function is given as:

\sum f(x)=f(1)+F(2)=1\\\\\sum f(x)=c+2c=1

3c=1\\\\c=\dfrac{1}{3}

Hence the value of C=1/3 for the probability density function f(x)=cx , 0<x<2.

To know more about probability density function follow

brainly.com/question/14214648

#SPJ4

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What is the average rate of change of f over the interval -7 &lt; or equal to x Give an exact number
Annette [7]

Answer:

\frac{4}{3}

Step-by-step explanation:

The average rate of change can be found by using the following formula

\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

Now that we know this, we can simply plug these values into the formula!

\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}

Good luck!

3 0
2 years ago
Tell whether the ordered pair is a solution to the equation.<br><br><br> (1, 3); 4x – 3y = -5
Bumek [7]

Answer:

Yes

Step-by-step explanation:

4(1)-3(3)=-5

4-9=-5

-5=-5

8 0
2 years ago
Find the Function and Solution.
ser-zykov [4K]

Answer:

y= (-7/16)

Step-by-step explanation:

Multiply (3/4)(1/4)= (3/16)

y= (3/16)-(5/8)

y= (-7/16)

I hope this is right, im not 100% sure

4 0
2 years ago
See attachment to help.
GenaCL600 [577]
B.
because {1,1,3,5,8}
{2,2,4,6,9}

you're just counting the numbers after the one that was given to you.
3 0
2 years ago
Please help me!!!!!!
IgorC [24]

Answer:

13.5 ft²

Step-by-step explanation:

This is also a trapezoid so we can do this formula:

A=\frac{a+b}{2} *h\\\\A=\frac{3+6}{2} *3\\\\A=\frac{9}{2} *3\\\\A=4.5*3\\A=13.5

3 0
3 years ago
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