Suppose the grading for a course project can only have 6 possible outcomes

Suppose 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

P(X=x)

100

0.1

90

0.25

80

0.3

70

0.15

60

0.1

50

0.09

0

0.01

 

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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