SOLUTION: 2. The probability of x is given below X P(x) 2 .10 4 .20 6 .30 8 .40 Answer the following questions a) What is the probability that x is less than or equal to 4? b)

Question 1159945: 2. The probability of x is given below
X P(x)
2 .10
4 .20
6 .30
8 .40
Answer the following questions
a) What is the probability that x is less than or equal to 4?
b) What is the probability that x is greater than or equal to 2?
c) Calculate the expected value
d) Calculate the variance
e) Calculate the standard deviation

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
p(x <= 4) = .10 + .20 = .30
p(x >= 2) = .10 + .20 + .30 + .40 = 1.00
expected value would be (.10 * 2) + (.20 * 4) + (.30 * 6) + (.40 * 8) = 6.
variance would be (2-6)^2 * .10 + (4-6)^2 * .20 + (6-6)^2 * .30 + (8-6)^2 * .40 = 4
standard deviation is square root of variance = 2.

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