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Tay-Sachs disease is a genetic disorder caused by a mutation on chromosome 15 that is believed...

Tay-Sachs disease is a genetic disorder caused by a mutation on chromosome 15 that is believed to occur in roughly 1 in 320000 babies in the U.S. As part of a cutting-edge genomics company, you’ve designed a new test for Tay-Sachs that is 99.2% accurate (i.e., gives a positive result) in those babies that have the disorder, and 97% accurate (i.e. gives a negative result) in babies that don’t have the disorder. Suppose your friend’s baby has just tested positive (using the new test).

a. What is the probability the baby actually has Tay-Sachs, and what advice would you give to your friend based on this probability? You must include a tree diagram as part of your answer.

b. Suppose another Tay-Sachs test has been created that is x% accurate with babies that have the disease and x% accurate with those that don’t. What must x be for the answer in part a to be 90%?

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