The Army gives a battery of exams to all new recruits. One exam measures a person's ability to work with technical machinery. This exam was given to a random sample of 360 recruits. In the table below x = score ont the test and f is the frequency of new recruits with score x.
x 1 2 3 4 5 6 7 8 8 10
f 28 42 79 83 51 36 18 12 7 4
A) Find the probability distribution of these scores.
B) The ground-to-air missle battalion needs people with a score of 7 or higher on the exam. What is the probability that a new recruit will meet that criteria?
C) Compute the expected value of these scores.
D) Compute the standard deviation of these scores.