Please I want to check if network

\fHealth Tech Innovations has developed a new health monitoring device called "VitaBand". The research and development department believes that this innovative device will expand the company's footprint in the personal healthcare device market and significantly enhance its profitability by promoting proactive health management. The executive team has decided to conduct a comprehensive research study to explore the potential success of VitaBand. This study will provide crucial insights into the production processes and marketing strategies needed for successful launch and adoption. Below is a list of the required activities (in weeks) for the research study and their durations. Activity Activity Description Immediate Predecessors A Develop technical specifications B Create a comprehensive marketing strategy C Plan logistics for distribution networks D Construct a functional prototype A Design promotional materials C, B F Calculate projected costs associated A, D G Conduct initial testing on prototypes E Time Activity Variance A 0.694 B C D E F 0.111 G 3.361 a) Complete the table above for all activities' Expected Times and Time Variance columns. (8 points) b) Draw the project activity network diagram in the space below. (10 points) c) Determine all critical path(s), the expected project completion time of the new product research study and its standard deviation. (6 points) d) Determine the probability that the new product research study will be completed in 13 weeks or less. Show your work. (6 points)