I was able to identify that the question required normal approximation to the binomial distribution based on the probability of success being the same for each birdie. I'm assuming the equation needed would be P(x)= (nCx)p^x(1-P)^n-x. The problem I have is identifying the values to sub in.
Well, that's the
binomial distribution itself, which as I said you could just as well use directly rather than the approximation. Are you saying that the problem itself
didn't mention that you
must use the
normal approximation, so that you had to "identify" this fact for yourself (with my help); or that it
does say this? Please state the
entire problem word for word, as we ask you to in the
Read before Posting announcement. This saves a lot of wasted time.
But let's suppose that you want to use the binomial distribution. If you do recognize this problem as binomial, you should see from the problem what n and p are. What are they?
Then x is the remaining detail. Do you see that "at least 4 holes of the last 6 holes he plays" means "either 4, or 5, or 6"? You would take each of those as x, and add the probabilities you get.
The normal approximation is intended to avoid having to repeatedly apply the binomial formula this way. It is not really a good approximation with numbers as small as these, but if you were told to use it (perhaps in the introduction to a set of problems), do so. What were you told about it?