The lengths of a professor's classes has a continuous uniform distribution between 49.29 min and 55.55 min. If one such class is randomly selected, find P54

52.6704

Step-by-step explanation:

The lengths of a professor's classes has a continuous uniform distribution between 49.29 min and 55.55 min

Let x = 49.29, y=55.55

Percentile(P) = 54/100 = 0.54

P54 = x+(y-x)p

P54 = 49.29 + (55.55-49.29)*0.54

P54 = 49.29 + 6.26*0.54

P54 = 49.29 + 3.3804

P54 = 52.6704

83.3%

Step-by-step explanation:

Games won:  80% of 15 plus 3 more:  12 + 3 = 15 games won out of 15 + 3 games played.  

Percentage of matches won:  15/18 = 0.833333 ...   →  83.3%