Answer:
Explanation:
Dear student, the missing data in the given information includes that:
The past experience showcases that for 75% successful bids & 40% unsuccessful bids, additional information is being requested by the agency.
∴
For a bid to be successful, the chance is half
Thus, the prior probability P(successful) is;
P(successful) =

P(successful) = 0.5
The conditional probability is:


To compute the posterity probability, we use the Naive Bayes Theorem:
So,
Let S = successful, Us = Unsuccessful; R = request:
Then;
![P(S/R) = (P(R/S) *P(S))/([P(R/s)* P(S) +P(R/Us) *P(Us)])](https://img.qammunity.org/2022/formulas/mathematics/college/4st4iyi6fb72uqlyd9bcmfj7e1hikgraj7.png)
![P(S/R) = (0.75*0.5)/(0.75* 0.5 +0.40 *0.5])](https://img.qammunity.org/2022/formulas/mathematics/college/qvw5di73sv3dtttyu3tml0d33mehp8brzh.png)

P(S/R) = 0.65