College admissions: A small college has enough space to enroll 310 new students

ID: 3151892 • Letter: C

Question

College admissions: A small college has enough space to enroll 310 new students in its Incoming freshman class. From past experience, the admissions office knows that 66% of students who are accepted actually enroll. If the admissions office accepts 450 students, what b the probability that there will be enough space for all the students who enroll? Use the T1-84 calculator as needed. Round the answer to four decimal places. The probability that there will be enough space for all the students who-enroll is

Explanation / Answer

Binomial distribution used

P(X=x) = (nCx) px (1-p)n-x

P( x 310) = 0.9112

Binomial Probabilities Table

P(X)

P(<=X)

P(<X)

P(>X)

P(>=X)

310

0.0174

0.9112

0.8938

0.0888

0.1062