Answer:
 
 
Step-by-step explanation:
The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"
 
Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:
 
In order to find the expected value E(1/X) we need to find this sum:

Lets consider the following series:
 
 
And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:
 (a)
   (a)
On the last step we assume that  and
 and  , then the integral on the left part of equation (a) would be 1. And we have:
, then the integral on the left part of equation (a) would be 1. And we have:

And for the next step we have:

And with this we have the requiered proof.
And since  we have that:
 we have that:
 
 
 
        
             
        
        
        
Its greater than 1,050 tens.
        
                    
             
        
        
        
Answer:
53
Step-by-step explanation:
6x3=18
8-3=5
6+1=7
7x5=35
35+18=53
I hope this helps!
 
        
             
        
        
        
you add the amount of people in each section that fits into the category. So, 11 people from 6-6:29 and 15 people from 6:30-6:59 and then 8 people from 7:30-7:59 so you get 34 people total
 
        
             
        
        
        
Answer:
1.7
Step-by-step explanation: