Concept explainers
Work these problems. (See Example 6.)
Automobile Fatalities According to data from the National Safety Council, the fatal-accident rate per 100,000 licensed drivers can be approximated by the function
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- 5. [10 marks] Determine whether the graph below has a perfect matching. Explain why your answer is correct. ข พarrow_forward(c) Utilize Fubini's Theorem to demonstrate that E(X)= = (1- F(x))dx.arrow_forward(c) Describe the positive and negative parts of a random variable. How is the integral defined for a general random variable using these components?arrow_forward
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- (b) Demonstrate that if X and Y are independent, then it follows that E(XY) E(X)E(Y);arrow_forward(d) Under what conditions do we say that a random variable X is integrable, specifically when (i) X is a non-negative random variable and (ii) when X is a general random variable?arrow_forward29. State the Borel-Cantelli Lemmas without proof. What is the primary distinction between Lemma 1 and Lemma 2?arrow_forward
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