I need help with this
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Given:
The function 'g(x)' is given as:
Now, the function 'f(x)' is given as:
So, the function 'f(x)' is a transformation of 'g(x)'.
In order to find f(x), we replace 'x' by in the 'g(x)' function equation. This gives,
Using the identity , we get:
Hence the function f(x) is given as:
Answer:
The expected number of times is 4.
Step-by-step explanation:
Looking at the question, we see that this follows a geometric distribution because it is asking for the expected number of trials hat will bring about the FIRST SUCCESS. The probability of success is
Since it is a geometric distribution, we know that the expected value of a random variable X, E(X) that follows a geometric distribution is given as:
E(X) = 1/p where p is the probability of success.
Therefore, the expected number of times will be
E(X) = 1/(1/p) = 1/(1/4) = 4.
Hence, the expected number of times is 4.