Final answer:
To find the percentage of cell phones produced by Ahmadi, Inc. that will have prices of at least $114.407, we can use the z-score formula and the normal distribution table. The z-score formula allows us to calculate the z-score for a given value, which represents the number of standard deviations away from the mean. By referencing the z-score table, we can determine the percentage of prices that are above $114.407.
Step-by-step explanation:
To find the percentage of cell phones produced by Ahmadi, Inc. that will have prices of at least $114.407, we need to determine the area under the normal distribution curve that represents prices above this value. This can be done using the z-score formula.
The z-score formula is given by:
z = (x - μ) / σ
where z is the z-score, x is the value we want to find the percentage for, μ is the mean, and σ is the standard deviation.
Using the z-score table or a calculator, we can find the z-score corresponding to a value of $114.407 based on the given mean and standard deviation. Then, we can find the percentage using the z-score table or a calculator.