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INEN314_HW_2 - 3 2 1 k 3 1 k and 3 3 4 k respectively(a...

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INEN314 Homework #2 (Due 09/19) On your textbook page 77-79 of the 4 th edition or page 80-82 of the 5 th edition. 1. [3 pts] Problem 2-2. 2. [5 pts] Problem 2-4. 3. [6 pts] Problem 2-8(b) (Please present a frequency distribution table and a histogram like Table2-3 and Figure 2-4, respectively, in Slides-09-02 at the course website. Data can be downloaded from the course website as well). 4. [10 pts] The random variable x takes on the values 1, 2, or 3 with probabilities
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Unformatted text preview: 3 / ) 2 1 ( k + , 3 / ) 1 ( k + , and 3 / ) 3 4 . ( k + , respectively. (a) Find the appropriate value of k . (b) Find the mean and variance of x . 5. [6 pts] The net contents in ounces of a canned soft drink is a random variable with probability distribution ⎪ ⎩ ⎪ ⎨ ⎧ ≤ ≤ − ≤ ≤ − = 75 . 12 25 . 12 ) 75 . 12 ( 4 25 . 12 75 . 11 ) 75 . 11 ( 4 ) ( x x x x x f Find the probability that a can contains less than 12.5 oz of product....
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