A robot fires $3$ shots at a moving target. For the first shot, the probability of hitting the moving target is $1/3$. For subsequent shots beyond the first shot, the probability of hitting the moving target is $1/2$ if the previous shot is a hit (for example, the probability of hitting the moving target on the 3rd shot is $1/2$ if the 2nd shot is a hit) and the probability of hitting the moving target is $1/4$ if the previous shot is a miss. What is the mean and variance of the number of hits?

Mean (rounded to the nearest whole number):

Variance (correct to 2 decimals):