To determine the fourth term, plug 4 into the equation;
Find the difference: x+1/x-1 minus x-8/x-1
2 answers:
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The mean is 0.0118 approximately. So option C is correct
<h3><u>Solution:</u></h3>Given that , The probability of winning a certain lottery is for people who play 908 times
We have to find the mean number of wins
Assume that a procedure yields a binomial distribution with a trial repeated n times.
Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
Hence, the mean is 0.0118 approximately. So option C is correct.
Using Lagrange multipliers, we have the Lagrangian
with partial derivatives (set equal to 0)
Substituting the first three equations into the fourth allows us to solve for
:
For each possible value of, we get two corresponding critical points at 
.
At these points, respectively, we get a maximum value of
and a minimum value of 
.
with partial derivatives (set equal to 0)
Substituting the first three equations into the fourth allows us to solve for
For each possible value of
At these points, respectively, we get a maximum value of