2. Princess Margaret Hospital collected data on a large sample of prostate cancer patients (n=8,374). The data are in the excel file called Q2_PROS located in the Data folder of A2L Contents. The variables in the data file include: tumour stage (STAGE: T1=stage 1, T2=stage2), age group (AGE_GRP: 65-69, 70-74, 75-79, 80+) and survival time (SURV-TIME, in months). Use these data to answer the questions below. a. Create an appropriate single plot that shows the distribution of survival times for the tumour stages. Consider question b in choosing the plot. Based on a visual inspection of the plot, comment on how the survival times compare across tumour stages and comment on the shape of the distribution of survival times in the two groups. [2 Marks] b. Based on the plot you created in question a, estimate the IQR for the survival time in each group. Explain how you have obtained your estimates from the plot. [1 Mark] C. Estimate the number of observations in each group that fall within the IQR that you estimated in question b. Explain how you have obtained your estimates. [1 Mark] d. Create an appropriate single plot that shows the distribution of survival times for the different age groups. Based on a visual inspection of the plot, comment on how the survival times compares across age groups and comment on the shape of the distribution of survival times in the two groups. [2 Marks]