Pollution Index In 2017 a pollution index was calculated for a sample of cities in the western states using data on air and water pollution. Assume the distribution of pollution indices is unimodal and symmetric. The mean of the distribution was 43.0 points with a standard deviation of 11.3 points. (Source: numbeo.com) a. What percentage of western cities would you expect to have a pollution index between 31.7 and 54.3 points? b. What percentage of western cities would you expect to have a pollution index between 20.4 and 65.6? c. The pollution index for San Jose in 2017 was 51.9 points. Based on this distribution, was this unusually high? Explain.
Pollution Index In 2017 a pollution index was calculated for a sample of cities in the western states using data on air and water pollution. Assume the distribution of pollution indices is unimodal and symmetric. The mean of the distribution was 43.0 points with a standard deviation of 11.3 points. (Source: numbeo.com) a. What percentage of western cities would you expect to have a pollution index between 31.7 and 54.3 points? b. What percentage of western cities would you expect to have a pollution index between 20.4 and 65.6? c. The pollution index for San Jose in 2017 was 51.9 points. Based on this distribution, was this unusually high? Explain.
Pollution Index In 2017 a pollution index was calculated for a sample of cities in the western states using data on air and water pollution. Assume the distribution of pollution indices is unimodal and symmetric. The mean of the distribution was 43.0 points with a standard deviation of 11.3 points. (Source: numbeo.com)
a. What percentage of western cities would you expect to have a pollution index between 31.7 and 54.3 points?
b. What percentage of western cities would you expect to have a pollution index between 20.4 and 65.6?
c. The pollution index for San Jose in 2017 was 51.9 points. Based on this distribution, was this unusually high? Explain.
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
1. Let X and Y be random variables and suppose that A = F. Prove that
Z XI(A)+YI(A) is a random variable.
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