patients receiving artificial knees often experience pain after surgery.  The pain is measured on a subjective scale with possible values of 1 (low) to 5 (high).  Let X be the pain score for a randomly selected patient.  The following table gives the probability distribution for the random variable X. X 1 2 3 4 5 P(X) 0.1 0.2 0.3 0.3 0.1 What is the probability that a randomly chosen patient has a pain level of at most three?  Include the leading zero in your answer.

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patients receiving artificial knees often experience pain after surgery.  The pain is measured on a subjective scale with possible values of 1 (low) to 5 (high).  Let X be the pain score for a randomly selected patient.  The following table gives the probability distribution for the random variable X.

X 1 2 3 4 5
P(X) 0.1 0.2 0.3 0.3 0.1

What is the probability that a randomly chosen patient has a pain level of at most three?  Include the leading zero in your answer.

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