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# 34 Andre is a fearless circus performer who gets shot from a special cannon during the grand finale of the show and is supposed to land on a safety...

7.34 Andre is a fearless circus performer who gets shot from a special cannon during the grand finale of the show and is supposed to land on a safety net at the other side of the arena. The distance he travels varies, but is normally distributed with a mean of 150 feet and a standard deviation of 10 feet. The landing net is 30 feet long. Please round (b) to 4 decimal places. a. To maximize Andre's probability of landing on the net, how far away from the cannon should he position the nearest edge of the net? . b. Given the net position in part (a), what is the probability that Andre will be able to return for tomorrow night's show? . A company sells toothpaste in a tube advertised to contain 8 ounces. The tube filling process is set with a mean of 8.17 ounces. In this continuous production process, the amount of toothpaste put in a tube is normally distributed with a mean of 8.17 ounces and a standard deviation of 0.12 ounces. If the actual capacity of the tubes used is 8.49 ounces, what proportion of the tubes will be filled beyond capacity? P = 7.14 The average American family of four spends \$5000 per year on food prepared at home. Assuming a normal distribution with a standard deviation of \$1000 and a randomly selected American family of four, the probability that the family's annual spending for food prepared at home will be. (SOURCE: "Business Briefing," Pittsburgh Tribune-Review, July 5, 2009, p. E1.) Please round to 3 decimals. a. more than \$8000 is b. between \$5000 and \$7000 is c. less than \$6000 is d. between \$3000 and \$6000 is 7.6 In the normal distribution, the probability that x will exceed ( +2 ) is the same as the probability that x will be less than ( -2 ). What characteristic of the normal distribution does this reflect? Symmetry Skew Correlation Determine P ( z >=1.71) for the standard normal curve. P ( z >=1.71) = 7.36 KleerCo supplies an under-hood, emissions-control air pump to the automotive industry. The pump is vacuum powered and works while the engine is operating, cleaning the exhaust by pumping extra oxygen into the exhaust system. If a pump fails before the vehicle in which it is installed has covered 50,000 miles, federal emissions regulations require that it be replaced at no cost to the vehicle owner. The company's current air pump lasts an average of 63,000
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7.34 Andre is a fearless circus performer who gets shot from a special cannon
during the grand finale of the show and is supposed to land on a safety net at the
other side of the arena. The...

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