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Unformatted text preview: to be inspected 3. Do the same problem if the probability of a defect is not . 01 but some value p and now do it not for the 100th car but for a general k ≥ 1. Example 4 (Example 2a, pmf) . ²ix λ > 0. The probability mass function of a random variable X is given by p ( { i } ) = c λ i i ! for i ≥ and p ( x ) = 0 otherwise, where c is an appropriately chosen constant. What is c ? What is P ( X = 4)? Example 5 (Cumulative distribution function) . Draw the cumulative distribution function of the random variable X in the ±rst example (# of heads in two tosses of a coin). Example 6 (Cumulative distribution function) . 4.19 Example 7 (Expected value) . 1 1. Find expected value of the random variable X in example 1. 2. You are tossing a fair dice. Let X be the face you observe. Find E ( X ). 3. 4.25 4. 4.13: Let X denote the sales of the salesperson. Find E ( X ). Suggested extra problems: Self test problems 4.1, 4.2 2...
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 Spring '11
 Shakar
 Cumulative distribution function

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