In fall 2014, 36% of applicants with a Math SAT of 700 or more were admitted by a certain university, while 18% with a Math SAT of less than 700 were admitted. Further, 32% of all applicants had a Math SAT score of 700 or more. What percentage of admitted applicants had a Math SAT of 700 or more

The percentage of admitted applicants who had a Math SAT of 700 or more is 48.48%.

Step-by-step explanation:

The Bayes' theorem is used to determine the conditional probability of an event E, belonging to the sample space S = (E₁, E₂, E₃,...Eₙ) given that another event A has already occurred by the formula:

Denote the events as follows:

X = an student with a Math SAT of 700 or more applied for the college

Y = an applicant with a Math SAT of 700 or more was admitted

Z = an applicant with a Math SAT of less than 700 was admitted

The information provided is:

Compute the value of as follows:

Compute the value of P (Y|X) as follows:

Thus, the percentage of admitted applicants who had a Math SAT of 700 or more is 48.48%.

answer: 40.95

step-by-step explanation: