Ross Hopkins, president of Hopkins Hospitality, has developed the tasks, durations, and predecessor relationships in the following table for building new motels. a$)$ The expected $($estimated$)$ time for activity C is weeks. $($Round your response to two decimal places.$)$ b$)$ The variance for activity C is weeks. $($Round your response to two decimal places.$)$ c$)$ Based on the calculation of the estimated times, the critical path is d$)$ The estimated time for the critical path is weeks. $($Round your response to two decimal places.$)$ e$)$ The activity variance along the critical path is weeks. $($Round your response to two decimal places.$)$ f$)$ The probability that Hopkins Hospitality will finish the project in $42$ weeks or less is $($Enter as a probability and round your response to three decimal places.$)$