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Quiz 4 Solutions

# Quiz 4 Solutions - BA 240 W Li Answer Sheet QUIZ 4 Show...

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BA 240 W, Li Answer Sheet QUIZ 4 Show your work CLEARLY and COMPLETELY! Round to the THIRD Decimal Place. Problem 1 : Suppose that the probability distribution of a random variable x can be described by the formula 15 ) ( x x p for each of the values x =1, 2, 3, 4, and 5. For example, p(x = 2) = 2 /15 Write out the probability distribution of x in tabular form (Keep in Fraction!) and use it to answer the following questions. x 1 2 3 4 5 p(x) 1/15 2/15 3/15 4/15 5/15 a) Find p(x < 3). (1 Point) 2 . 0 5 1 15 3 15 2 15 1 ) 2 ( ) 1 ( ) 3 ( p p x p b) Calculate the expected value (mean). (1 Point) 667 . 3 3 11 15 55 15 5 5 15 4 4 15 3 3 15 2 2 15 1 1 ) ( x xp c) Calculate the standard deviation. (1 Point) 247 . 1 555 . 1 ) ( 2 x p x d) Compute the interval (μ – σ, μ + 2 σ ). (2 Points) 161 . 6 , 42 . 2 ) 247 . 1 2 667 . 3 , 247 . 1 667 . 3 ( 2 , Lower Limit = 2.42 Upper Limit = 6.161 e) Find the actual probability that x falls within the interval of part d). (1 Point)

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