General Discrete Random Variable
Suppose uppose the grading for a course project can only have 6 possible outcomes; 100, 90, 80, 70, 60, 50, and 0. Let the random variable X be the scores on the project. Suppose X has the following distribution:
x 100 90 80 70 60 50 0
P(X=x) 0.05 0.35 0.3 0.1 0.1 0.08 0.02
a. What is the probability that X is AT MOST 70?
b. What is the probability that X is AT LEAST 80%?
c. What is the probability that X is MORE than 80?
d. What is the probability that X is LESS than 70?
e. Compute the expected value for this random variable (see page 269 of text).