Answer: the probability that a selected cup will be overfilled is 0.16
Step-by-step explanation:
Since amount of hot chocolate dispensed by a hot chocolate machine is normally distributed,
we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = amount of hot chocolate dispensed by a hot chocolate machine.
µ = mean
σ = standard deviation
From the information given,
µ = 16.0 oz
σ = 2 oz
We want to find the probability that a selected cup will be overfilled. Since the cup can hold 18.0 oz, the expression would be
P(x > 18) = 1 - P(x ≤ 18)
For x = 18,
z = (18 - 16)/2 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
P(x > 18) = 1 - 0.84 = 0.16
Multiply 18 * 3 and 20 * 3
18*3 = 54
20 * 3 = 60
Length = 54 cm ; Width = 60 cm
Area = L x W
54 * 60 = 3240
Area = 3240 cm
You write ten thousand in numbers like this 10,000
Your answer is 90. Hope that helps!
