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Akimi4 [234]
3 years ago
7

If you know can you please help me??

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0
0.42 because i said so
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Nick bought a bag of jell beans. He ate 15 jelly beans and then gave one-third of the remaining jelly beans to his brother. If h
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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
Fifteen years from now Ravi's age will be four times his present age.What is Ravi's present age ? Frame the equation and solve.
Archy [21]

Answer:

Ravi's age after 15 years = x+15

Ravi's age = 4 times his present age = 4x

According to question -

15 + x = 4x

=> 15 = 4x-x = 3x

=> 15 = 3x

=> x = 15/3

=> x = 5

Thus , Ravi's present age is 5 years.

Step-by-step explanation:

7 0
3 years ago
Zack is purchasing a bag of apples. The cost of apples is proportional to the weight of the apples in pounds as shown on the gra
White raven [17]
Hello,

The graph below is the graph you may have forgotten to upload. This will help me understand the question better and to give you a great answer.

  A:  " 1 lb of apples will cost Zack $2.50. "  
___________________________________________  C:  " 4 lb of apples will cost Zack $10. "
Hope this helps


-Jurgen :D

7 0
3 years ago
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