Cpmgedekire

Random variable value or x (x) F n o i ct n u f n o i t u b ri st i d ve i t a l mu cu 18/23 Cumulative Distribution Function (CDF) The cumulative distribution function F(x) for a discrete random variable is a stepfunction Example (Widgets, PMF and CDF, cont)(b)If f(x) has a critical point at x= 0 and f00(x) >0, then f(x) has a local minimum The domain is that xmust be in the interval 0;40 Taking the derivative of A(x) and setting it equal to 0 gives a critical point at x= Evaluating the area at the endpointsThe cumulative distribution function F(x) for a continuous rv X is defined for every number x by F(x) = P(X ≤ x) = For each x, F(x) is the area under the density curve to the left of x This is illustrated in Figure 45, where F(x) increases smoothly as x increases Figure 45 A pdf and associated cdf Chapter 6 Work And Kinetic Energy Phy48 Physics With Calculus Studocu ƒx[ƒXŒ^ "¯Œ^ ƒ~ƒfƒBƒAƒ€ 40'ã