Question

This problem involves the career plans of students in a biology class. Assume that the class consists of 40 percent freshmen, 10 percent sophomores, 30 percent juniors, and 20 percent seniors. Assume further that 40 percent of the freshmen, 30 percent of the sophomores, 35 percent of the juniors, and 20 percent of the seniors plan to go to medical school. One student is selected at random from the class. (1) What is the probability that the student plans to go to medical school

Answer 1

0.335 = 33.5% probability that the student plans to go to medical school

Explanation:

What is the probability that the student plans to go to medical school?

Sum of:

40% of 40%(freshmen)

30% of 10%(sophomores)

35% of 30%(juniors)

20% of 20%(seniors)

So

`p = 0.4*0.4 + 0.3*0.1 + 0.35*0.3 + 0.2*0.2 = 0.335`

0.335 = 33.5% probability that the student plans to go to medical school