I have to draw a graph, but I cannot seem to make it happen.
I want a graph of the chance of finding a failure on a piece of equipment when checking after n-number of days.
I have historical data on the previous failures of the equipment, which follows a log-normal distribution. My data points are the average number of failures per equipment per day. I.e. the probability of x number of failures occurring in one day is given by a log-normal CDF, so that P[1 failure in a day] = F(1) (a pretty small number).
How can I then calculate the probability of finding 1 failure or maybe how many failures would I find if I only check on the second, third, and so on days?
Let me know if you need me to clarify anything. I cannot share my data, but if critical I might be able to create some dummy data.
Thank you in advance for your time!