The discrete random variable H takes values 1, 2, 3 and 4.
It is given that:
The mean of a random sample of 50 observations of is denoted by
.
Use a suitable approximation to find
I understand that the appropriate thing to do here is to use a normal approximation to the binomial one, N(2.5, 0.025). However, I don't understand why exactly the continuity correction applied is:
Namely the 2.59 part. I understand generally to change discrete binomial variables into continuous normal, you would have to first turn a strict inequality into an unstrict one and then extend the range of the inequality by 0.5, but I'm just a bit unsure about this specific example!