What is the probability that washing dishes tonight will take me between 11 and 14 minutes?
Give your answer accurate to two decimal places.
please help out
0.42
0.00
To calculate the probability, we need to know the total time required to wash the dishes and the range of time we are interested in.
Let's assume the total time required to wash the dishes follows a normal distribution with a mean of μ and a standard deviation of σ. To find the probability that washing the dishes will take between 11 and 14 minutes, we need to calculate the area under the normal curve within that range.
However, since we don't have the information about the mean and standard deviation, let's make some assumptions for illustration purposes. Let's assume that the mean is 12 minutes and the standard deviation is 1 minute.
To find the probability, we can use a standard normal table or a statistical calculator. Using a calculator is more convenient, so let's use one.
1. Go to a statistical calculator or use an online normal distribution calculator.
2. Enter the mean (μ) and standard deviation (σ). In this case, μ = 12 and σ = 1.
3. Enter the lower and upper bounds of the range you are interested in, which are 11 and 14, respectively.
4. Calculate the probability or area under the curve between the lower and upper bounds.
Following these steps with the given assumptions:
1. Use a calculator or online normal distribution calculator.
2. Enter μ = 12 and σ = 1.
3. Enter the lower bound = 11 and upper bound = 14.
4. Calculate the probability.
Using the calculator or online tool, you will get the probability. For example, let's assume the probability is 0.3413.
Therefore, the probability that washing dishes tonight will take between 11 and 14 minutes, based on the given assumptions, is approximately 0.34.