n many tissues certain cells types represent only a very small minority population, such as hematopoetic stem cells in
the blood. Imagine that a particular cell type is present at a rate of one cell in 100,000.
First, if we are given a sample with 50,000 cells, what is the probability of finding exactly one of these rare cells?
Second, if we need to find at least 20 of these cells with probability larger than 95%, how many total cells must we
collect? Hint: see if there is an approximating distribution that is numerically easier to work with. Then make use of the
CDF of this distribution to pose a solution for the problem. This has to be solved numerically for the necessary total cell
count so implement the equation we need to solve as a Python function and use scipy.optimize.fsolve to find the solution