Answer:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
By definition of absolute value,
Differentiating once gives
As
from either side, we find that
, so really
Differentiating again, we find
but this time, the limit does not exist as
from either side, so
is undefined. However, we see that
when
, and
when
, and we know that
is continuous at
. This means the concavity must change at
, so (0, 0) is the inflection point. (The takeaway is that inflection points *can* occur when the second derivative is undefined, but not always.)
Answer:
we need to know the variables
Step-by-step explanation:
1238.6 and a line over the 6 because it’s continuing