Value of imperfect information

Dear Sir,

Hope you are well.

I have question in relation with topic “Value of Imperfect Information” in text book Performance Management – BPP 2016. In page 205 – solution b relating to “weak” and “strong” economy, I cannot understand how to figure out the probabilities for each condition after obtaining the research information.

As my understanding, the research states that:
– if results is weak => 80% correct, subsequently option A is chosen, therefore we can work the EV = 0.8×50000 + 0.2×60000 = $52000.

– If result of research states economy is strong=> 90% correct => choose option B. I worked out the EV is $92000

How do I calculate the EV of profit in imperfect Information in this case when there is no probability of “weak” and “strong” result of research? If I use the probability 0.4 for “strong” and 0.6 for “weak” economy from estimated figures at begining of example, the result is unmatch with the answer.

Thank you in advance,