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Temka [501]
2 years ago
15

Consider a collection of n individuals. . Assume that each person’s birthday is equally likely to be any of the 365 days of the

year and also that the birthdays are independent. For i < j, let Ai,j denote the event that persons i and j have the same birthday, and let X be the number of pairs of people whose birthdays are the same, i.e., the number of Ai,j that occur.(b) Compute E[X], and find the smallest value of n for which E[X] > 1. Describe in words what this means. (A sentence or two is fine.)

Mathematics
1 answer:
MAVERICK [17]2 years ago
3 0

Answer:

Step-by-step explanation: see attachment below

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elena-14-01-66 [18.8K]
First, you should solve for f(2x), which equals 2*(2x)=4x.  Now, solve the integral of f(2x)=2*(2x)=4x, to get that\int\ {(f(2x)=4x)} \, dx= 2x^2.  You can check this by taking the integral of what you got.  Now by the Fundamental Theorem\int\limits^2_0 {4x} \, dx=[2x^2] ^{2}_{0}=2(2)^{2}-2(0)^2=8.

This should be the answer to your question, if I understood what you were asking correctly. 
8 0
2 years ago
Solve x^2+20x+100=50
uysha [10]
1. You con solve the quadratic equation x^2+20x+100=50<span> by following the proccedure below:
 
 2. Pass the number 50 from the right member to the left member. Then you obtain:
 
 x^2+20x+100-50=0
</span><span> x^2+20x+50=0
</span><span> 
 3. Then, you must apply the quadratic equation, which is:
 
 x=(-b±√(b^2-4ac))/2a
 
 </span><span>x^2+20x+50=0
</span><span> 
 a=1
 b=20
 c=50
 

  4. Therefore, when you substitute the values into the quadratic equation and simplify ir, you obtain that the result is:
 
  -10</span>±5√2   (It is the last option).
6 0
2 years ago
A swimming pool can be filled in 18 hours if water enters through a pipe​ alone, or in 25 hours if water enters through a hose a
pychu [463]
I am not sure, but this is what I got:
 <span>Pipe ALONE = 18 hours 

Pipe ALONE in 1 hour = 1/18 of the pool 

Hose ALONE in 1 hour = 1/25 of the pool 

TOGETHER in 1 HOUR = 1/18 +1/25 = 43/450 

TOGETHER they will fill the pool in 450/43 hours 

So 5/6 of the pool will take 5/6 X 450/43 = 2250/ 258 = 8.7209302 hours OR 

8 hours AND 43.26 minutes ANSWER
</span>
Hope this helps!


6 0
2 years ago
Gabriele's Pie Shop sold 80 pies last month: 7/10 were apple pies and 1/10 were peach pies. How many pies were neither apple nor
AleksAgata [21]

Answer:

16 pies were neither apple nor peach.

Step-by-step explanation:

8/10, or 4/5 of the 80 apple pies were either apple or peach, which 4/5 of 80 is 64. The remaining pies will be neither apple nor peach. 80 - 64 = 16.

7 0
2 years ago
Is this table proportional or non-proportional?
tatyana61 [14]

Answer:

in my opinon, this table is proportional

5 0
3 years ago
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