In: Statistics and Probability
Suppose I work in a factory which does not have the best safety record. On any given day (independent of all other days) there is a 5% chance that there will be a workplace injury. Let X be the number of days until we have a workplace injury.
What is the distribution of X? Give the name of the distribution and the appropriate parameters.
What is the mean and variance of this distribution? Give your answer as a number,
but include the formulas (or logic) used.
What is the probability that there will be an injury within the next 5 workdays?
i.e. what is
P(X≤5)?
2
Let’s say a few employees have a rather inappropriate betting pool on which day
the next injury will occur. If I placed my wager on day 4, what is the probability
that I win?