Answer:
The percentage of the items that weigh less than 4.4 ounces (i.e., P(X < 4.4) is 0.135%
Step-by-step explanation:
This is a normal distribution problem with
Mean = 5 ounces
Standard deviation = 0.2 ounces
To find the percentage of the items that weigh less than 4.4 ounces (i.e., P(X < 4.4),
We will use the normal distribution table.
First of, we standardize or normalize 4.4
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (4.4 - 5)/0.2 = -3.0
To determine the percentage of the items that weigh less than 4.4 ounces
P(x < 4.4) = P(z < -3.0)
We'll use data from the normal probability table for these probabilities
P(x < 4.4) = P(z < -3.0) = 0.00135
In percentage, this is 0.135%
Hope this Helps!!!
