A sample of 10 washing machines is selected from a process that is 10% nonconforming. What is the probability of 1 nonconforming washing machine in the sample? Use the Poisson distribution.
I'm supposed to use the Poisson chart to determine the answer instead of the formula, but I'm having trouble assigning the variables.
I believe that the C = 1 but i'm not sure about the nPo value.
Figured it out. Thanks for all the help.
To use the Poisson distribution to find the probability of an event occurring, you need to know the average rate of occurrence, which is denoted by λ (lambda). In this case, the average rate of nonconforming washing machines in the sample needs to be determined.
Given that the process is 10% nonconforming, we can calculate the average number of nonconforming washing machines in a sample of 10 as follows:
λ = (10%)(10) = 1
So the average rate of nonconforming washing machines in the sample is 1.
Now, to find the probability of having 1 nonconforming washing machine in the sample, you need to use the Poisson distribution chart. The chart provides the probability for different values of λ.
Assigning the variables, we have:
C = 1 (the number of nonconforming washing machines in the sample that we are interested in)
λ = 1 (the average rate of nonconforming washing machines in the sample)
Locate the row in the Poisson distribution chart that corresponds to λ = 1. Then, find the column that corresponds to C = 1. The value at the intersection of this row and column will give you the probability.
If you are having trouble finding the exact values in the chart, you can approximate the probability by using neighboring values or interpolation.