11. The type of medical care a patient receives may be influenced by their age. In a study of 2000 women who had lumps in their breasts, the proportions of women who received a mammogram and lump biopsy was determined for women 65 years old. For each combination of Age and Test Done in the table below, the upper boldface number is the proportion of the total sample of 2000 women in that category and the lower regular font number is the number of women in that category. Age Tests Done Tests Not Done Totals 65 0.365 0.190 1110 730 380 ing che Totals 1372 628 2000 a. From the data presented in the table above, compute relative frequencies to estimate the probabilities for the following event descriptions. Show calculations in the space to the left of each line. P[Patient Age 65 AND Test Done] using the simple Multiplication Rule that assumes independent events. Show calculations. C. Based on the data in the table above, what is the observed relative frequency of women who meet both criteria (Age 2 65) and (Test Done)? d. Compare the probability computed using the simple multiplication rule to the observed relative frequency in the table. Under the multiplication rule, P [A and B] = P[A] x P[B] only if the two events are independent. What do you conclude