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Here Are Some Items That Were Great Fun When the Movie

Question 129

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Here are some items that were great fun when the movie, Star Wars first came out (1977). Some problems, of course, are classics.The following questions were received in last week's time capsule. May the Force be with you.
a. On the average, it takes Han Solo 45 seconds to check the coordinates and make the jump into hyperspace. The standard deviation on this important task is 5 seconds. When Han and Chewbacca and their passengers are leaving for Alderaan they must make the jump in 33 seconds or less. What is the probability of such an accomplishment?
b. In a space bar there were 14 storm troopers, 3 Wookies, 9 humans, and 2 scriptwriters. An Android entered, fired a shot, and hit someone in the cheek. What is the probability that a scriptwriter was hit (and won't have anyplace to put his tongue)?
c. Jawas, those jewel-eyed, hooded collectors of robots and scrap, live in the desert and travel by sandcrawler. Their height is normally distributed with a mean of four feet and a standard deviation of 3 inches. The escape exit on the sandcrawler is 46 inches high. What proportion of the Jawas must duck when they use the escape exit?
d. The Head Jawa, a sleepy-eyed fellow with neurons to match, took a psychology course but got things jumbled up. He concluded that the extreme five percent of a population should not be counted as part of that population. He went home to the rocks, counted his people, and sent those whose heights put them in the extreme five percent to Alderaan. If there were 600 people to begin with, how many were banished and what were their heights?
e. Darth Vader has a distinct respiratory mannerism. This mannerism is so noticeable that the Dark Lord of the Sith can be heard by an average R-2 droid (a classification that certainly does not include Artoo Detoo) who is 18 meters away. The standard deviation of this detection task is 50 centimeters. Suppose that 60 R-2s were 18 meters from a door that Darth Vader walked through. How many of these R-2s would be expected to know that the one who represents the dark side of the Force has entered?
f. According to Obi-Wan Kenobe, the last of the Jedi Knights, "The Force can have an influence on the weak-minded." Unfortunately for psychology, concepts like a weak mind have been abandoned and therefore psychologists cannot hope to understand this most important intervening variable. Please answer the following question which you will have no difficulty with; which you will answer quickly, completely, and correctly. The beautiful Princess Leia, in a prescience trance, saw a funny hair style on 1920s movie stars in America. She decided to adopt this hair style and practiced and practiced winding her hair in circles using her ears as cores. On the average she got 12 coils and the standard deviation was two coils. What is the probability that, on the day she was rescued by Luke, Han, and Chewey, she had between 11 and 14 coils?

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verifed

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a. blured image b. probability =
blured image = .0714
c blured image d. .05...

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