A study assessed if the distribution of sleep quality was the same for the various age groups of Young (19 years old or younger), Middle (over 19 but less than 24 years old), and Old (24 years and older) university students. The following data shows the sleep quality results for each group:

Group Young Middle Old
Good sleep 26 48 21
Bad sleep 51 119 25
Total 77 167 46

If the distribution of the sleep quality is the same for the three age populations of university students, how many young students would you expect to have good sleep? Submit your answer rounded out to four decimals.