The following table shows 1,000 nursing school applicants, classified according to scores made on a college entrance exam and the quality of the high school from which they graduated. Use the data in the table to answer the questions that follow.

Score Poor (P) Average (A) Superior (S) Total

Low (L) 105 60 55 220

Medium (M) 70 175 145 390

High (H) 25 65 300 390

Total 200 300 500 1000

1. Calculate the probability that an applicant picked at random...

a)made a high or low score on the exam

b)made a low score on the exam and graduated from a superior high school

c).made a medium score or graduated from an average high school

d)graduated from an average high school

2. Compare and comment on the probability that an applicant picked at random...

a) made a high score on the exam given that they graduated from a poor high school

b).made a high score on the exam given that they graduated from a superior high school

3) Calculate the following probabilities:

a) P (AP)

b) P (L)

c) P(A|M)

d) P (AM)