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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:

This shows a relative frequency bar graph. The horizontal axis shows the number of cars using whole numbers from 0 to 6. The vertical axis shows relative frequency in units of 0.1 from 0.15 to 0.45. The graph shows the following proportions: 0.075 of responses are 1, 0.15 are 2, 0.45 are 3, 0.25 are 4, and 0.075 of responses are 6.

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.

Chapter 6

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.

  1. f ( x ) = 1 10 , 3 ≤ x ≤ 13
  2. There is no mode
  3. The median is less than the mean.
  4. P ( x >10) = P ( x ≤ 6)

42. Calculate:

  1. the mean.
  2. the median.
  3. the 65 th percentile.

This is a boxplot over a number line  from 0 to 7. The left whisker ranges from minimum, 0, to lower quartile, 2. The box runs from lower quartile, 2, to upper quartile, 5. A dashed line marks the median at 4. The right whisker runs from 5 to maximum value 7.

43. Which of the following is true for the box plot in [link] ?

  1. Twenty-five percent of the data are at most five.
  2. There is about the same amount of data from 4–5 as there is from 5–7.
  3. There are no data values of three.
  4. Fifty percent of the data are four.

44. If P ( G | H ) = P ( G ), then which of the following is correct?

  1. G and H are mutually exclusive events.
  2. P ( G ) = P ( H )
  3. Knowing that H has occurred will affect the chance that G will happen.
  4. G and H are independent events.

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.

  1. P ( J AND K ) = 0
  2. P ( J OR K ) = 0.9
  3. P ( J OR K ) = 0.72
  4. P ( J ) ≠ P ( J | K )

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 ?

  1. P (5)
  2. B (500, 5)
  3. Exp ( 1 5 )
  4. N ( 5 , ( 0.01 ) ( 0.99 ) 500 )

Chapter 7

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 ~ _________

  1. U (0, 4)
  2. U (10, 20)
  3. Exp (2)
  4. N (2, 1)

48. The average wait time is:

  1. 1 hour.
  2. 2 hours.
  3. 2.5 hours.
  4. 4 hours.

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:

  1. 1 4
  2. 1 2
  3. 3 4
  4. 3 8

50. Given: X ~ Exp ( 1 3 )

  1. Find P ( x >1).
  2. Calculate the minimum value for the upper quartile.
  3. Find P ( x = 1 3 )

51.

  • 40% of full-time students took 4 years to graduate
  • 30% of full-time students took 5 years to graduate
  • 20% of full-time students took 6 years to graduate
  • 10% of full-time students took 7 years to graduate

The expected time for full-time students to graduate is:
  1. 4 years
  2. 4.5 years
  3. 5 years
  4. 5.5 years

Questions & Answers

complete definition plz
Zarifa Reply
what are the advantages and disadvantages of primary and secondary data
Elisha Reply
the average increase for all NASDAQ stocks is the
Technical Reply
formula of poisson probability distribution
Ch Reply
frequency distribution table
Ali Reply
Giveanswer
Girma
sum of dots when 2 dice are rolled is
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Noman Reply
Statistics is the collection of methods for planning experiments, obtaining data, and then organizing, summarizing, presenting, analyzing, interpreting, and drawing conclusions.
John
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razia
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razia
a random variable is __________ if takes on a values continuous scale.
Loida Reply
merits of arithmetic mean
Priya Reply
formula of HM
Bikram
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umar
hi
Candyda
n/sum(1/xi). this i is in subscript
moniba
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moniba
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Lion
class interval and class limit are same ?
Shantal Reply
what is a differnece between class interval and class boundries ?
Shantal
I don't think so
Plain
interval between the element of class- class interval
Hemanta
class boundary consist of the upper and lower class limits but class class limit is the same decimal values as the data values
Najeeb
x 0 1 2 3 4 5 0.05 0.09 0.17 0.27 0.23 0.19 a) Find the probability that 1 or 2 smart phones have defects (show calculations). b) Find the probability that more than 3 smart phones have defects (show calculations). c) Find the probability that at most 2 smart phones have defects (show calculat
Mr Reply
Please expand on the number set data
Jesus
what is proportion?
Ann Reply
A proportion is simply a statement that two ratios are equal
Foeor
Two dice are thrown. Let A be the event that the sum of the upper face number is odd and be the event of at least one ace
Sana Reply
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frequency destribution
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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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