Question 2 During a race, a driver may damage part of the front wing of their car. The additional time it takes to replace a front wing is normally distributed with a mean of 7.3 seconds and standard deviation of 2.1 seconds. a. Determine the expected time and standard deviation for a pit stop that included replacing a front wing. b. Find the probability that the total time for a pit stop that included the replacement of a front wing is below 10 seconds. Different teams can complete their pit stops in different times. Assuming that all pit stops completed by each team is approximately normally distributed, the following shows the mean and standard deviation for a single pit stop for the different teams. Team Mean Standard Deviation Red Bull 3.22 0.48 Ferrari 2.74 0.33 Mercedes 3.47 0.85 Alpine 2.79 0.43 McLaren 3.23 0.77 Alfa Romeo 4.94 0.98 Aston Martin 3.32 0.52 Haas 4.52 0.86 Alpha Tauri 4.12 1.01 Williams 2.72 0.45 c. Mercedes and Haas teams have a particular rivalry between the pit crews. You have to compare the pit times distributions for these two teams. As a minimum for your comparison: . Describe the interval that 99.7% of pit stops are expected to be between by calculating 3 standard deviations above and below the mean. Find the probability that each team's pit stop is "optimal". Modelling Probsolv Find the probability that one team's pit stop is quicker than the other teams' pit stop