Question

There are 5000 undergraduates registered at a certain college of them, 488 are taking one course, 635 are taking two courses, 575 are taking three courses, 1854 are taking four courses, 1367 are taking five courses, and 81 are taking six courses. Let X be the number of courses taken by a student randomly sampled from this population. Find the probability distribution of X. Round the answers to four decimal places as needed. 1 2 3 6 P(x)

Answer 1

To find the probability distribution of X, the number of courses taken by a randomly sampled student, divide the frequency of each number of courses by the total number of students.

Step-by-step explanation:

The probability distribution of X, the number of courses taken by a randomly sampled student, can be calculated by dividing the frequency of each number of courses by the total number of students. In this case, we have:

1. P(X=1) = 488/5000
2. P(X=2) = 635/5000
3. P(X=3) = 575/5000
4. P(X=4) = 1854/5000
5. P(X=5) = 1367/5000
6. P(X=6) = 81/5000

Adding up all the probabilities should give you 1. Round your answers to four decimal places as needed.