The probability that the project will be finished in 2 days is

7. See picture

The probability distribution for X and Y is shown by the table. Find the marginal distribution function value of X = 1. G(1) = X 2 3 1 0.06 0.10 0.04 2 0.10 0.12 0.13 3 0.15 0.19 0.11 Y

Cheryl is considering purchasing additional sewing machines to accommodate the increasing demand for her cosplay costumes. Her alternatives are to buy 1 machine, 2 machines, or 3 machines.  The profits realized under each alternative are a function of whether her proposal to bid for clothing the official Bandai team is accepted or not.  The payoff table below illustrates the profits realized (in $000's) based on the different scenarios Cheryl faces. The probability that her proposal will be accepted is 65%.  Alternative Proposal Accepted Proposal Rejected Purchase 1 sewing machine $10 $5 Purchase 2 sewing machines $30 $4 Purchase 3 sewing machines $40 $2 What alternative should Cherly select if she is pessimistic? What alternative should Cherly select based on a criterion of realism with ?α = 0.8?