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Consider the following events:
X = student gets an B+ on paper 1
Y = student gets an B+ on paper 2 Suppose that P(X) = 0.3, P(Y) = 0.28, and P(X Y) = 0.2.
a. Are X and Y independent? Demonstrate it quantitatively and explain what it means in words.
b. Find the probability that a student gets a B+ on at least one of the papers.
c. Find the probability that a student gets no B +s.
d. Find the probability that a student gets a B+ on exactly one of the papers.

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Consider the following events X student gets an B+ on pap.pdf

  • 1. Consider the following events: X = student gets an B+ on paper 1 Y = student gets an B+ on paper 2 Suppose that P(X) = 0.3, P(Y) = 0.28, and P(X Y) = 0.2. a. Are X and Y independent? Demonstrate it quantitatively and explain what it means in words. b. Find the probability that a student gets a B+ on at least one of the papers. c. Find the probability that a student gets no B +s. d. Find the probability that a student gets a B+ on exactly one of the papers.