General discrete random variable suppose uppose the, Ask an Expert

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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).

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