Suppose that a pharmaceutical company claims that it has a new cure for the flu, and that $96\%$ of flu sufferers will fully recover within $24$ hours of taking the drug. As a first test on its claim, a clinic will give the drug to $25$ people diagnosed with the flu and then check on their condition $24$ hours later. Suppose too that the company's claim is perfectly accurate. Find the probabilitythat at least $90\%$ of the flu sufferers are cured within a day.