SOLUTION: 2. The incomplete table at right is a discrete random variable x's probability distribution, where x is the number of courses taken by randomly selected undergraduate student. Ans

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Question 1027091: 2. The incomplete table at right is a discrete random variable x's probability distribution, where x is the number of courses taken by randomly selected undergraduate student. Answer the following:

Table : > http://prntscr.com/alqvcp

(a) Determine the value that is missing in the table.

(b) Explain the meaning of P(x >2) as it applies to the context of this problem.

(c) Determine the value of P(x ≤ 3):

(d) Find the probability that x is at least 2.

(e) Find the mean (expected value) and standard deviation of this probability distribution.

Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website!
(a) 1 - .15 - .41 - .18 - .15 = .11
(b) P(x>2) = 0.44 ==> there is 44% probability that a randomly selected undergraduate student will take 3 or more courses.
(c) P(x ≤ 3) = 0.74
(d) 1-0.15 = 0.85
(e) E(X) = 1*0.14 + 2*0.41 + 3*0.18 + 4*0.11 + 5*0.15 = 2.69

==> standard deviation =