20 A statistical program is recommended. Find the medians of gamma distributed random variables with the following parameters. (a) a = 1, β = 8 (Round your answer to two decimal places.) 90.5 = (b) a = 2, ß = 3 (Round your answer to two decimal places.) 90.5 = Is the median larger or smaller than E(Y)? O The median is smaller than E(Y). The median is larger than E(Y). (c) a = 5, p = 18 (Round your answer to two decimal places.) 90.5= Is the median larger or smaller than E(Y)? The median is smaller than E(Y). The median is larger than E(Y). (d) How are the above results reflected in the shapes of the corresponding densities? The densities are all right skewed. The densities are all symmetric. The densities are all left skewed.
20 A statistical program is recommended. Find the medians of gamma distributed random variables with the following parameters. (a) a = 1, β = 8 (Round your answer to two decimal places.) 90.5 = (b) a = 2, ß = 3 (Round your answer to two decimal places.) 90.5 = Is the median larger or smaller than E(Y)? O The median is smaller than E(Y). The median is larger than E(Y). (c) a = 5, p = 18 (Round your answer to two decimal places.) 90.5= Is the median larger or smaller than E(Y)? The median is smaller than E(Y). The median is larger than E(Y). (d) How are the above results reflected in the shapes of the corresponding densities? The densities are all right skewed. The densities are all symmetric. The densities are all left skewed.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:20
A statistical program is recommended.
Find the medians of gamma distributed random variables with the following parameters.
(a) α = 1, p = 8 (Round your answer to two decimal places.)
40.5
(b) a = 2, ß = 3 (Round your answer to two decimal places.)
90.5 =
=
Is the median larger or smaller than E(Y)?
The median is smaller than E(Y).
The median is larger than E(Y).
(c) a =
= 5, B =
90.5
=
= 18 (Round your answer to two decimal places.)
Is the median larger or smaller than E(Y)?
The median is smaller than E(Y).
The median is larger than E(Y).
(d) How are the above results reflected in the shapes of the corresponding densities?
The densities are all right skewed.
The densities are all symmetric.
The densities are all left skewed.
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