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larisa [96]
3 years ago
12

Find the value of x. Give the answer in simplest radical form. PLEASE HELP

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

The answer is 7 or 7.07. Hope this helps

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A random variableX= {0, 1, 2, 3, ...} has cumulative distribution function.a) Calculate the probability that 3 ≤X≤ 5.b) Find the
olchik [2.2K]

Answer:

a) P ( 3 ≤X≤ 5 ) = 0.02619

b) E(X) = 1

Step-by-step explanation:

Given:

- The CDF of a random variable X = { 0 , 1 , 2 , 3 , .... } is given as:

                    F(X) = P ( X =< x) = 1 - \frac{1}{(x+1)*(x+2)}

Find:

a.Calculate the probability that 3 ≤X≤ 5

b) Find the expected value of X, E(X), using the fact that. (Hint: You will have to evaluate an infinite sum, but that will be easy to do if you notice that

Solution:

- The CDF gives the probability of (X < x) for any value of x. So to compute the P (  3 ≤X≤ 5 ) we will set the limits.

                   F(X) = P ( 3=

- The Expected Value can be determined by sum to infinity of CDF:

                   E(X) = Σ ( 1 - F(X) )

                   E(X) = \frac{1}{(x+1)*(x+2)} = \frac{1}{(x+1)} - \frac{1}{(x+2)} \\\\= \frac{1}{(1)} - \frac{1}{(2)}\\\\= \frac{1}{(2)} - \frac{1}{(3)} \\\\=  \frac{1}{(3)} - \frac{1}{(4)}\\\\= ............................................\\\\=  \frac{1}{(n)} - \frac{1}{(n+1)}\\\\=  \frac{1}{(n+1)} - \frac{1}{(n+ 2)}

                   E(X) = Limit n->∞ [1 - 1 / ( n + 2 ) ]  

                   E(X) = 1

8 0
3 years ago
You buy a car for $8,000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years?
goblinko [34]
The correct answer for this question would be about $4,467.2 according to my estimation.

If it’s not correct, I’m sorry, but if it is, please mark the brainliest!!
8 0
3 years ago
What is the y-intercept of the line whose equation is y=-x-2?
dalvyx [7]

Answer:

-2

Step-by-step explanation:

If we have an equation of the form y = mx +b then the y-intercept is b.

So now here we have y =-x - 2. Therefore b = -2 and we conclude the y-intercept is -2.

8 0
3 years ago
Read 2 more answers
Columbia,South Carolina, is located at 34degrees north latitude. Use the equation to estimate the average annual snowfall for Co
lana66690 [7]

Answer:

Step-by-step explanation: I cannot provide an answer due to insufficient evidence.

7 0
3 years ago
HELPPP PLEASE!!! I’M BEING TIMED!!!!
Evgesh-ka [11]

Answer:

y= -7x -27

Step-by-step explanation:

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