Question

A student applies to 20 graduate​ programs, 9 of which are in clinical​ psychology, 6 of which are in counseling​ psychology, and 5 of which are in social work. The student gets a message from home that they have a letter from one of the programs they applied​ to, but nothing is said about which one. Give the probabilities it is from​ (a) a clinical psychology​ program, (b) a counseling psychology​ program, (c) any program other than social work.​ (d) Explain your answers to someone who has never had a course in statistics.

Answer 1

1. Here, we have n(8)=20 graduate Programs nea)= 9 are clinical Psychology NIE)= 6 are counseling Psychology 5 are in social work a) Probability Clinical psychology Program) a nieg) gonna niss = 20 = 10. 45 (b) PI counselling psychology programy : nied) - 6 nige -20 -10.30 (C) any other program other than social wook - 20-1 (EA) + n (fb) - 20-1976) nec) = 5 Pl any other course other than social works on these - 1025)