Question

At a small liberal arts college, students can register for one to six courses. Let xxbe the number of courses taken in the fall by a randomly selected student from this college.

In a typical fall semester, 7 % take one course, 5 % take two courses, 14 % take three courses, 29 % take four courses, 35 % take five courses, and 10 % take six courses.

(a) Find the probability that a randomly selected student takes three or fewer courses.

(Give your answer to three decimal places.)

P(X⩽3)P(X⩽3) =

(b) Find the probability that a randomly selected student takes four or five courses.

(Give your answer to three decimal places.)

P(X=4P(X=4 or X=5)X=5) =

(c) Find the probability that a randomly selected student takes eight courses.

(Give your answer to three decimal places.)

P(X=8)P(X=8) =

Answer 1