I have the first portions of this question completed but I would love some help with the last part. I have attached my answer to part d for the reference in part e. Thanks so much for your help!

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, 0 = 800 days. (800, (1200, Time to R (0, 400] (400, 800] 1200] 1600] > 1600 Total Observed # of Patients 30 18 12 8 12 80 Probability 0.3935 0.2387 0.1447 0.0878 0.1353 1 Expected # of Patients 31.4776 19.0921 11.5799 7.0236 10.8268 80 e. Non-parametric Estimation Exercise. For this next part, you will still assume that observations are independent from patient to patient, but you will use only the observed data given in the table, making no assumptions that the data follows a specific distribution. Note: When you determine these probability estimates, please use "hat" notation. For example, the estimate of P(T > 400) would be expressed as: P(T > 400). Using the observed values in the table above, estimate: i. the probability that a patient will make it through 1200 days without a recurrence. ii, the probability that a patient who has been 1200 days since treatment without a recurrence will make it through the next 400 days without a recurrence