Question 1 Below is a partially complete probability distribution for a discrete random variable: X 1 2 3.5 6 P(X) 0.2 Find the expected value of X. Do not round your final answer (it should include 3 decimal places). 0.15 0.15 ? Question 2 Let X be the number of junk emails received in a day. A website developer determines the probability distribution of X is: X 1 2 3 4 5 6 0.01 0.20 0.17 P(X) What is the probability that the number of junk emails received in a day is at most 2? Enter your answer as a decimal. 0.09 0.12 0.24 0.17 Question 3 Let X be the number of junk emails received in a day. A website developer determines the probability distribution of X is: X 1 2 3 4 5 6 P(X) What is the probability that the number of junk emails received in a day is at least 1? Enter your answer as a decimal. 0.01 0.09 0.12 0.24 0.20 0.17 0.17

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