Suppose that the time, T, from treatment to a recurrence for patients diagnosed with a disease is assumed to follow an Exponential distribution with a mean, 3 = 800 days. fill in the table given below. Determine the probability associated with each cell and compute the expected frequencies for each ofthe cells in the table. Compare the expected and observed values and answer the following question: Do you feel that the Exponential distribution with mean 800 provides an adequate description for these data? More formally. we are asking how well do you think the model ts the data? *** Please determine the probability in the last cell (> 1600} to 4 d.p. bySubtraction. This is often done in order to avoid any rounding issues. Tlme to Recurrence [Days] [0,400] [400, sou] (son, 1200] (1200, 1600] > 1600 Observed Number of Patients 30 13 1 2 8 12 Probability {to 4- d.p.] Expected Number of Patients [to 3 d.p.}