3. Consider an advanced statistics class which consists of 20 Statistics majors, 15 Mathematics majors, 10 Computer Science majors, and 5 Electric Engineering majors. Suppose a random sample of size 10 is drawn from this course without replacement. What is the probability that the sample contains 5 Statistics majors, 3 Mathematics majors, 2 Computer Science majors, and 0 Electric Engineering majors?

0.0309

Step-by-step explanation:

Given: In advanced statistics class, there are 20 Statistics majors, 15 Mathematics majors, 10 Computer Science majors, and 5 Electric Engineering majors.

Total = 20+15+10+5 =50

Number of combinations of selecting r things out of n =

The number of ways to choose a sample of 10 put of 50=

Number of ways to choose  5 Statistics majors, 3 Mathematics majors, 2 Computer Science majors, and 0 Electric Engineering majors =

Required probability =

Hence, the required probability = 0.0309