The 200 students tested represented a random sample taken from the population of all college students.

Probability Distributions 1. The 200 students tested represent a random sample taken from the pop- ulation of all college students. Now suppose we want to estimate the probability that any other randomly selected college student will re- ceive a particular score. For example, we want to estimate the proba- bility that a college student taking this exam will get an 80. (The ex- periment is having a college student take the exam.) Estimate the values in the third column of this table by using the scores of the students who have already taken the exam. Score x Cumulative frequency of x | P(T = x) 45 50 4 55 12 60 28 65 57 70 95 75 135 80 167 85 186 90 195 95 199 100 200 als loog bit w 2. Verify that E P(T = x) = 1. bloo 3. What is the probability that a randomly selected student will get at least an 80 on the exam? 4. What is the probability that a randomly selected student will get a score less than 80? 5. Plot each of the points (x, P(T = x)) on a graph. Be as detailed as you can. The scales of your axes will be very different. Use one entire Mom piece of paper for this graph. 6. Your graph has several points plotted. Now, we want to draw a curved line connecting these points so that each of the points of the curve will represent the values of (x, P(T = x)) for all possible values of x (not Daniel J. Geiger