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Using the following information to answer the next two exercises: 64 faculty members were asked the number of cars they owned (including spouse and children’s cars). The results are given in the following graph:
36. Find the approximate number of responses that were three.
37. Find the first, second and third quartiles. Use them to construct a box plot of the data.
Use the following information to answer the next three exercises: [link] shows data gathered from 15 girls on the Snow Leopard soccer team when they were asked how they liked to wear their hair. Supposed one girl from the team is randomly selected.
Hair Style/Hair Color | Blond | Brown | Black |
---|---|---|---|
Ponytail | 3 | 2 | 5 |
Plain | 2 | 2 | 1 |
38. Find the probability that the girl has black hair GIVEN that she wears a ponytail.
39. Find the probability that the girl wears her hair plain OR has brown hair.
40. Find the probability that the girl has blond hair AND that she wears her hair plain.
Use the following information to answer the next two exercises: X ~ U (3, 13)
41. Explain which of the following are false and which are true.
42. Calculate:
43. Which of the following is true for the box plot in [link] ?
44. If P ( G | H ) = P ( G ), then which of the following is correct?
45. If P ( J ) = 0.3, P ( K ) = 0.63, and J and K are independent events, then explain which are correct and which are incorrect.
46. On average, five students from each high school class get full scholarships to four-year colleges. Assume that most high school classes have about 500 students. X = the number of students from a high school class that get full scholarships to four-year schools. Which of the following is the distribution of X ?
Use the following information to answer the next three exercises: Richard’s Furniture Company delivers furniture from 10 A.M. to 2 P.M. continuously and uniformly. We are interested in how long (in hours) past the 10 A.M. start time that individuals wait for their delivery.
47. X ~ _________
48. The average wait time is:
49. Suppose that it is now past noon on a delivery day. The probability that a person must wait at least 1.5 more hours is:
50. Given: X ~ Exp $\left(\frac{1}{3}\right)$
51.
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