Marvel Movies (Example 11 and 13) The top ten movies based on Marvel comic book characters for the U.S. box office as of fall 2017 are shown in the following table, with domestic gross rounded to the nearest hundred million. (Source: ultimatemovieranking.com) a. Sort the domestic gross income from smallest to largest. Find the median by averaging the two middle numbers. Interpret the median in context. b. Using the sorted data, find Q1 and Q3. Then find the interquartile range and interpret it in context. c. Find the range of the data. Explain why the IQR is preferred over the range as a measure of variability.
Marvel Movies (Example 11 and 13) The top ten movies based on Marvel comic book characters for the U.S. box office as of fall 2017 are shown in the following table, with domestic gross rounded to the nearest hundred million. (Source: ultimatemovieranking.com) a. Sort the domestic gross income from smallest to largest. Find the median by averaging the two middle numbers. Interpret the median in context. b. Using the sorted data, find Q1 and Q3. Then find the interquartile range and interpret it in context. c. Find the range of the data. Explain why the IQR is preferred over the range as a measure of variability.
Solution Summary: The author calculates the domestic gross income from the top ten movies based on Marvel comic book characters for the U.S. box office.
Marvel Movies (Example 11 and 13) The top ten movies based on Marvel comic book characters for the U.S. box office as of fall 2017 are shown in the following table, with domestic gross rounded to the nearest hundred million. (Source: ultimatemovieranking.com)
a. Sort the domestic gross income from smallest to largest. Find the median by averaging the two middle numbers. Interpret the median in context.
b. Using the sorted data, find Q1 and Q3. Then find the interquartile range and interpret it in context.
c. Find the range of the data. Explain why the IQR is preferred over the range as a measure of variability.
6. Show that
1{AU B} = max{1{A}, I{B}} = I{A} + I{B} - I{A} I{B};
I{AB} = min{I{A}, I{B}} = I{A} I{B};
I{A A B} = I{A} + I{B}-21{A} I {B} = (I{A} - I{B})².
Theorem 3.5 Suppose that P and Q are probability measures defined on the same
probability space (2, F), and that F is generated by a л-system A. If P(A) = Q(A)
for all A = A, then P = Q, i.e., P(A) = Q(A) for all A = F.
6. Show that, for any random variable, X, and a > 0,
Lo P(x
-00
P(x < x
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