Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estima
tes that Upper P (0 )equals 0.60, Upper P (1 )equals 0.23, Upper P (2 )equals 0.11, Upper P (3 )equals 0.04, Upper P (4 )equals 0.02, with negligible probability for higher values of x. a. Explain why it does not make sense to compute the mean of this probability distribution as (0 plus 1 plus 2 plus 3 plus 4 )divided by 5 equals 2.0. b. Find the correct mean and interpret.
1 answer:
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Step-by-step explanation:
Let's represent the two integers with the variables and
.
From the problem statement, we can create the following two equations:
With the first equation, we can subtract from both sides to isolate the
variable to the left-hand side:
Now that we have a value for , we can plug it into the second equation and solve for
:
Now, let's move everything to one side of the equation:
Factoring this quadratic will give us two values for :
Since we now know , we can plug this back into either of the original equations to get a value for
, which will be
.
So the two numbers that sum to and have a product of
are
.