Question

Two towns, Besiktas and Sariyer are going to raise a fund together to build a new public library. Suppose Besiktas will raise B million Turkish Liras and Sariyer will raise S million Turkish Liras. B has exponential distribution with rate 1 and S has exponential distribution with rate 2.4. Suppose B and S are independent. The new library will be built if they can raise 4 million Turkish Liras or more. What's the probability that Besiktas will raise less than 2 million Turkish Liras given that the library can be built? (P(B<2 | B+S+4)=?)

Answer 1

J. Consider the S following regions. * This is the region A = {BS > 4 (4,00 B Bts=4 i-e. s=4-B

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