Answer:
P [ X > 23,22 ] = 0,8798 or P [ X > 23,22 ] = 87,98 %
Step-by-step explanation:
P [ X > 23,22 ] = 1 - P [X ≤ 23,22 ]
P [X ≤ 23,22 ] = ( X - μ₀ ) / σ /√n
P [X ≤ 23,22 ] = ( 23,22 - 36,25 )/ 6,50/√36
P [X ≤ 23,22 ] = - 13,03 *6 / 6,50
P [X ≤ 23,22 ] = - 12,02 or P [X ≤ 23,22 ] = 12,02 %
(note the - sign only mean that values on the left tail of the bell shape curve)
Then
P [ X > 23,22 ] = 1 - 0,1202
P [ X > 23,22 ] = 0,8798 or P [ X > 23,22 ] = 87,98 %
