During the holidays, guests line up at The North Pole display of a local mall to meet Santa, have their picture taken and tell Santa their wishes. On average each guest spends $3\mathrm{.}6$ minutes with Santa with a standard deviation of $3\mathrm{.}2$ minutes. Guests arrive to meet Santa every $4\mathrm{.}4$ minutes on average with a standard deviation of $5\mathrm{.}8$ minutes.

Calculate the average number of guests waiting to meet Santa.

Carry intermediate calculations to at least $3$ decimal places.

Enter your final answer rounded to one decimal place.