Final answer:
To find the probability, calculate the fraction of the total possible time range that falls within the given interval.
Step-by-step explanation:
To find the probability that washing dishes tonight will take between 6 and 9.3 minutes, we need to calculate the fraction of the total possible time range that falls within this interval.
First, we calculate the total time range by subtracting the lower limit from the upper limit: 11.1 - 5 = 6.1 minutes.
Next, we calculate the fraction of the total time range that falls within the given interval: (9.3 - 6) / 6.1 = 0.54 (rounded to two decimal places).
Therefore, the probability that washing dishes tonight will take between 6 and 9.3 minutes is approximately 0.54 or 54%.