Answer: 77% of the apples will contain at least 2.36 ounces of juice.
Step-by-step explanation:
Since the amount of juice squeezed from each of these apples is approximately normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the amount of juice squeezed in ounces.
µ = mean
σ = standard deviation
From the information given,
µ = 2.25 ounces
σ = 0.15 ounce
Looking at the normal distribution table, the z score corresponding 77%(77/100 = 0.77) is 0.74
Therefore, the number of ounces of juice, x will be
0.74 = (x - 2.25)/0.15
Cross multiplying, it becomes
x - 2.25 = 0.74 × 0.15
x - 2.25 = 0.111
x = 0.111 + 2.25
x = 2.36
