Please explain 4ii) clearly and simply.Answer is 0.486

5, 4. After watching a number of children playing games at a video arcade, a statistics practitioner estimated the following distribution of X , the number of games per VISIt. 2: 1 2 3 4 5 P(X=w) 0.54 0.18 0.12 0.10 0.06 Suppose we randomly choose 7:. children playing games at the video arcade and record the number of games each child pays in one visit. Then, we calculate the sample mean _ from the sample. (i) What is the probability that the sample mean is between 1.85 and 1.91 games if n = 400? State clearly Whether any assumption is needed and explain why. (ii) What is the probability that the sample mean is less than 1.8 games if n = 2'? State clearly whether any assumption is needed and explain why