A company has used PERT for a project and wants to minimize the probability of overrunning a contract deadline of 30 weeks. Three paths of concern in the PERT network have these mean durations and variances in weeks: 
a.What is the Z-score for path 1?
b.What is the probability of path 2 overrunning the deadline?
Definitions:
Risk Premiums
The extra return expected by investors for taking on the risk of an investment compared to a risk-free asset.
Mean-variance Efficient
A portfolio that offers the highest expected return for a defined level of risk or the lowest risk for a given level of expected return.
CAPM
The Capital Asset Pricing Model is a conceptual model employed to calculate the anticipated return on an investment, taking into account both the risk associated with the investment and the time value of money.
Market Portfolio
A theoretical portfolio that includes all assets available in the market, each weighted by its market capitalization, often used in the Capital Asset Pricing Model (CAPM).
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