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uysha [10]
3 years ago
12

Can someone please help me with number 15

Mathematics
1 answer:
Stells [14]3 years ago
8 0
The first thing you have to do is order them least to greatest. Once that is done you need to find your first, second and third quartile. to find them is simple. You have to find the median of the data set. Then from the number on either side of the median you have to find the median of this data sets. The median of the entire set is your second quartile then the medium to the left is your first and the median to your right is the third quartile. For the number line you need to make numbers that are appropriate for the number range. Then place your least number, the first, second, and third quartile, then place your greatest number. then draw a line up from the median and the first and third quartile and create a box. 
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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
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katrin [286]
1. To translate to the left, add to x. 
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2. To translate down, add to y. 
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Hope this helps!
5 0
3 years ago
Please please answer! Thank you in advance. Your help is appreciated very much. Also, if you don’t mind may you give me an expla
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Which point is an x-intercept of the quadratic function
Naddik [55]

Answer:

A

Step-by-step explanation:

The x-intercepts are the roots of a parabola. Specifically, when a parabola is in the form f(x)=(x-h)(x-k), where h and k are real numbers, the roots are (h, 0) and (k, 0).

Our parabola has a plus, though. That's a problem, right?

No! x+2=x-(-2), so there's no problem. So, our roots are (3, 0) and (-2, 0).

So, the answer is A and we're done!

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anastassius [24]

Answer:

shrek or 43jaqhfh3hyuy8

Step-by-step explanation:

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