
Concept explainers
Load factors 2016 The Research and Innovative Technology Administration of the Bureau of Transportation Statistics (www.TranStats.bts.gov/Data_Elements.aspx?Data=2) reports load factors (passenger-miles as a percentage of available seatmiles) for commercial airlines for every month from 2000 through May 2016. Here are histograms and summary statistics for the domestic and international load factors for this time period:
Compare and contrast the distributions.

Compare and contrast the distributions of domestic load factor and international load factor.
Explanation of Solution
Given info:
The data represents the histogram and summary statistics for the load factors of domestic and international commercial airlines for every month from 2000 through May 2016.
Justification:
Interpretation of the histogram of domestic load factor:
From the given histograms for the domestic load factor, the observed points are given below:
- The histogram consists of only one largest bar and this indicates that the distribution of domestic load factor is unimodal.
- The histogram shows that the length of the curve of the left hand tail is larger compared to the length of the curve of the right hand tail and this says that the shape of the distribution is skewed to left.
Interpretation of the histogram of international load factor:
From the given histograms for the international load factor, the observed points are given below:
- The histogram consists of only one largest bar and this indicates that the distribution of international load factor is unimodal.
- The histogram shows that the length of the curve of the left hand tail is larger compared to the length of the curve of the right hand tail and this says that the shape of the distribution is skewed to left.
Interpretation of the summary statistics of domestic and international load factors:
The median of the domestic load factor is 80.07 and the median of the international load factor is 78.86, the inter quartile range of the domestic load factor is 9.53 and the inter quartile range of the international load factor is 6.24.
Comparison and contrast:
- The distributions of both the data sets of domestic and international load factors are unimodal with left skewed.
- The distributions of international load factor may contain low outliers due to less variability.
- Median is an appropriate measure of centre, here the medians for both the distributions are close and this says that the distributions of domestic load factor and international load factor are almost similar.
- Inter quartile range is an appropriate measure for the spread of the distribution and the IQR of domestic load factor is high, which indicates that the variability is more in the domestic load factors.
Want to see more full solutions like this?
Chapter 4 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
- Don’t solve questionarrow_forwardDon’t solve questionsarrow_forwardFred needs to choose a password for a certain website. Assume that he will choose an 8-character password, and that the legal characters are the lowercase letters a, b, c, ..., z, the uppercase letters A, B, C, ..., Z, and the numbers 0, 1, . . ., 9. (a) How many possibilities are there if he is required to have at least one lowercase letter in his password? (b) How many possibilities are there if he is required to have at least one lowercase letter and at least one uppercase letter in his password? (c) How many possibilities are there if he is required to have at least one lowercase letter, at least one uppercase letter, and at least one number in his password?arrow_forward
- a =1500, b=1700 what is percentage of a is barrow_forwardA 12-inch bar that is clamped at both ends is to be subjected to an increasing amount of stress until it snaps. Let Y = the distance from the left end at which the break occurs. Suppose Y has the following pdf. f(y) = { (a) Compute the cdf of Y. F(y) = 0 0 y -옴) 0 ≤ y ≤ 12 1- 12 y 12 Graph the cdf of Y. F(y) 1.0 0.8 0.6 0.4 0.2 y 2 6 8 10 12 F(y) F(y) F(y) 1.01 1.0ㅏ 1.0 0.8 0.6 0.4 0.2 0.8 0.8 0.6 0.4 ཨཱུ སྦེ 0.6 0.4 0.2 2 4 6 8 10 12 (b) Compute P(Y ≤ 5), P(Y > 6), and P(5 ≤ y ≤ 6). (Round your answers to three decimal places.) P(Y ≤ 5) = P(Y > 6) = P(5 ≤ y ≤ 6) = (c) Compute E(Y), E(y²), and V(Y). E(Y) = in E(Y2) v(x) = in 2 2 2 4 6 8 10 12 y 2 4 6 8 10 12arrow_forwardA restaurant serves three fixed-price dinners costing $12, $15, and $20. For a randomly selected couple dining at this restaurant, let X = the cost of the man's dinner and Y = the cost of the woman's dinner. The joint pmf of X and Y is given in the following table. p(x, y) 15 y 12 20 12 0.05 0.10 0.35 x 15 0.00 0.20 0.10 20 0.05 0.05 0.10 (a) Compute the marginal pmf of X. x 12 Px(x) Compute the marginal pmf of Y. y Pyly) 12 15 20 15 20 (b) What is the probability that the man's and the woman's dinner cost at most $15 each? (c) Are X and Y independent? Justify your answer. X and Y are independent because P(x, y) = Px(x) · Py(y). X and Y are not independent because P(x, y) =Px(x) · Pyly). X and Y are not independent because P(x, y) * Px(x) · Py(y). X and Y are independent because P(x, y) * Px(x) · Py(y). (d) What is the expected total cost, in dollars, of the dinner for the two people? $ (e) Suppose that when a couple opens fortune cookies at the conclusion of the meal, they find the…arrow_forward
- Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution with λ = 1, (which is identical to a standard gamma distribution with α = 1), compute the following. (If necessary, round your answer to three decimal places.) (a) the expected time between two successive arrivals (b) the standard deviation of the time between successive arrivals (c) P(X ≤ 1) (d) P(2 ≤ X ≤ 4) You may need to use the appropriate table in the Appendix of Tablesarrow_forwardIn each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) USE SALT (a) (c) 0.9842 (b) P(0 ≤ Z ≤ c) = 0.3051 (c) P(CZ) = 0.1335 You may need to use the appropriate table in the Appendix of Tables to answer this question.arrow_forwardSarrow_forward
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning



