You are working on a programming project with your partner for a computer science course. The project is due in 48 hours. Together, you are to produce a computer program and each of you are assigned to write a portion of computer code. Both of you work simultaneously, but independently. The completion time of your task follows a uniform distribution between 30 and 50 hours. Your partner is stronger in programming and his task is more complex, and the completion time for his task follows a uniform distribution between 32 and 54 hours.

Part a) What is the expected completion time (in hours) for your partner's task?

A. 48
B. 40
C. 53
D. 43
E. 51.5

Part b) What is the corresponding standard deviation for the completion time of your partner's task?

A. 6.35
B. 40.33
C. 17.29
D. 1.35
E. 2.99

Part c) What is the probability that you and your partner are not able to hand in your project on time (that is, your team's project completion time exceeds 48 hours)?

A. 0.4888
B. 0.6823
C. 0.3455
D. 0.5455
E. 0.5200

Part d) On the 48th hour when the project is due, you and your partner have not completed the project. You approach the course instructor for an extension. The course instructor grants you and your partner an extension of 4 hours to hand in the project starting from the 48th hour. What is the probability you and your partner are now able to meet the new deadline?

A. 0.3175
B. 0.4375
C. 0.775
D. 0.6888
E. 0.7368