Homework

10. (10 pts) A continuous random variable has probability density function f (x) = kaze- on the interval [0, 5). We can approximate Jo f(x) dx using a Riemann Sum with right-side endpoints on the interval [0, 5] with n = 5 equally spaced sub-intervals. Use such an approximation to find the value of k such that f(x) is a (approximately) valid PDF.13. (10 pts) The number of new diagnosed COVID-19 cases per day in a certain community over a period of 100 days is modeled as N(t) = 0.1t2 - 0.01t25, 0