A random variable X has probability distribution P(X = x) = k(x +1) for x = 2,3,4,5,6. (a) Show that k =0.04. (b) Find E(X).
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In a group of 50 students, 40 study Mathematics, 32 study Physics, and each student studies at least one of these subjects. a. Use a Venn diagram to find how many students study both subjects. b. If a student from this group is randomly selected, find the probability that he or she: i. studies Mathematics but not Physics ii. studies Physics given that he or she studies Mathematics.