Final answer:
To find the probability that a randomly selected ice cream carton has a weight greater than 7.18 ounces, calculate the z-score and use a standard normal distribution table or calculator.
Step-by-step explanation:
Given that the weights of ice cream cartons are normally distributed with a mean of 7 ounces and a standard deviation of 0.6 ounce, we can find the probability that a randomly selected carton has a weight greater than 7.18 ounces.
- Calculate the z-score for 7.18 ounces using the formula: z = (x - μ) / σ, where x is the given weight, μ is the mean, and σ is the standard deviation.
- Substitute the values into the formula: z = (7.18 - 7) / 0.6 = 0.3
- Find the probability corresponding to the z-score using a standard normal distribution table or a calculator. The probability of a z-score of 0.3 or greater is approximately 0.3829.
Therefore, the probability that a randomly selected ice cream carton has a weight greater than 7.18 ounces is approximately 0.3829.