(Solved): PLEASE SHOW WORK In fall 2022,47% of applicants with a Math SAT of 700 or more were admitted to ASU, ...

In fall $2022,47\%$ of applicants with a Math SAT of 700 or more were admitted to ASU, while $14\%$ with a Math SAT of less than 700 were admitted. Further, $39\%$ of all applicants had a Math SAT score of 700 or more. What is the probability an admitted applicant had a Math SAT of 700 or more? (hint: Use Bayes Theorem) Provide answer as a number rounded to 4 decimal places.