Example: Northwestern University posts the grade distribution for its courses online. Students in Statistics 101 in a recent semester received 26% A’s, 42% B's, 20% C’s, 10% D’s, and 2% F's. Choose a...

Extracted text: Example: Northwestern University posts the grade distribution for its courses online. Students in Statistics 101 in a recent semester received 26% A’s, 42% B's, 20% C’s, 10% D’s, and 2% F's. Choose a Statistics 101 student at random. The student’s grade on a four point scale (with A = 4) is a discrete random variable X with this probability distribution: 1. Say in words what the meaning of P(X23) is. What is this probability? 2. Write the event "the student got a grade worse than C" in terms of values of the random variable X. What is the probability of this event? 3. Compute the mean of the random variable X. Interpret this value in context. Discrete Random Variable: Variance/Standard Deviation The standard deviation of a random variable X is a measure of how much the values of the variable typically vary from the expected value. X P(X)