Continue to assume that there is a 1% failure rate. Find the smallest number of syringes you can check so that you have at least a 50% chance of finding a faulty syringe. (Your answer should be an integer.) Name that number num_required_for_50_percent. Hint: if solving this with algebra, you'll want to recall the loglog function. Solving it with simulation would certainly be good practice. You may also find the function math. ceil(x), which computes the smallest integer value greater than x, helpful if you are solving the problem algebraically. It's okay if your answer is as much as 11 off from the theoretical answer for full credit.