Final answer:
To find the probability that it takes Lizzie fewer than 8.6 minutes or more than 9.8 minutes to finish the next apple, we can calculate the area under a probability density function curve. Assuming Lizzie's completion time follows a normal distribution with a mean of 9 minutes and a standard deviation of 1 minute, we can use the properties of the standard normal distribution to calculate the probabilities.
Step-by-step explanation:
The probability that it takes Lizzie fewer than 8.6 minutes or more than 9.8 minutes to finish the next apple can be found by subtracting the probability of her finishing between 8.6 and 9.8 minutes from 1. To calculate this, we need to find the area under the probability density function (PDF) curve for this time range.
Let's assume that the time it takes Lizzie to finish the apple follows a normal distribution with a mean of 9 minutes and a standard deviation of 1 minute. We can use the properties of the standard normal distribution to calculate the probabilities.
The probability of finishing between 8.6 and 9.8 minutes can be calculated by finding the area under the curve between these two time values. Using a standardized z-score, we can determine the corresponding area under the curve using a standard normal distribution table or a statistical software.