Question: SciTool is now bidding for another contract. From historical data, there's a 20% chance that there are no other firms bidding for the contract. We

SciTool is now bidding for another contract. From historical data, there's a 20% chance that there are no other firms bidding for the contract. We also know if there are competitors, their bidding prices follow the following distribution.

Competitor's bid price <$1M between $1.1M and $1.4M between $1.6M and $1.9M between $2.1M and $2.4M >$2.6M
probability 0.2 0.3 0.3 0.15 0.05

Suppose SciTool bids $2.0M. When there is competition, the firm that has a lower bid price wins.What is the winning probability of SciTool?

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