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alina1380 [7]
3 years ago
13

If I eat 5 skittles in 1/4 (quarter) of a minute, how many skittles can I eat in 1 minute

Mathematics
1 answer:
Cloud [144]3 years ago
8 0

Answer: 20

Step-by-step explanation:

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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
Another customer purchases a pack of gum for $1.25 and a candy bad for $1.10, what is yhe total of these two items before tax ?
Rzqust [24]
$1.25
+
$1.10
___
$2.35 because the 5 goes to 0 the 2 to 1 and 1 to 1 which makes $2.35
8 0
3 years ago
In relation defined by the equation y=2x+1 for all x&gt;0, y is a function because of x because
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that would be the letter d :)

each value of x has a unique value of y

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3 years ago
There were a total of three football games a month. The season is played for four months. How many football games are in the sea
svp [43]

Answer:

12

Step-by-step explanation:

Because 3 games per month and there are 4 months in a season SO 3*4=12 games

5 0
2 years ago
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you eat 3/10 of a coconut your friend eats 1/5 of the coconut what fraction of the coconut do you have and your friend eat write
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Answer:

I eat 3/10 of the coconut and my friend eats 1/5 which is 2/10.

We both eat 3/10 + 2/10 which is 1/2 of the coconut.

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