The time (in years) after reaching age 61 that it takes an individual to retire is approximately exponentially distributed with a mean of about 2 years. Suppose we randomly pick one retired individual. We are interested in the time after age 61 to retirement.

The time {in years} after reaching age I51 that it takes an individual to retire is approximately exponentially distributed with a mean of about 2 years. Suppose we randomly pick one retired individual. We are interested in the time after age 61 to retirement. a} p = I I. {Round to 1 decimal place} b] o = I I. [Round to 2 decimal places} c] Find the probability that the person retired after age 11. I I Round to 4 decimal places. d] Find the probability that the person retired before age 63. I I Round to 4 decimal places e} Find the probability that the person retired after age (:3. I I Round to 4 decimal places f} In a room of 4am people over age 3\"), howlr many do you expect will NOT have retired yet? Round the probability to 4 decimal places. Round answer to 2 decimal places