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The table shows the probability of the letters in the alphabet. The information is based on randomly selecting a letter from a randomly selected passage of text. Use the information given in the table and answer the following questions. Probability with respect to the 26 letters Letter A 0.09 0.12 0.045 0.1 0.03 (a) Construct a probability distribution just for the vowels A, E, I, O, and U. Letter Probability with respect to 26 letters Probability with respect to the vowels 0.09 0.12 0.045 0.1 0.03 (Simplify your answers. Type integers or decimals rounded to three decimal places as needed.) (b) Choose the correct bar chart which represents the probability distribution of part (a). OA. OB. OC. Vowel Vowel Vowel robability Appgegai w - o >

The table shows the probability of the letters in the alphabet. The information is based on randomly selecting a letter from a randomly selected passage of text. Use the information given in the table and answer the following questions. Probability with respect to the 26 letters Letter A 0.09 0.12 0.045 0.1 0.03 (a) Construct a probability distribution just for the vowels A, E, I, O, and U. Letter Probability with respect to 26 letters Probability with respect to the vowels 0.09 0.12 0.045 0.1 0.03 (Simplify your answers. Type integers or decimals rounded to three decimal places as needed.) (b) Choose the correct bar chart which represents the probability distribution of part (a). OA. OB. OC. Vowel Vowel Vowel robability Appgegai w - o >

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The table below shows the probability of selecting certain vowels from the alphabet. These probabilities are based on randomly choosing a letter from a text passage. Use the provided data to work through the following exercises. ### Table 1: Probability of Vowels in the Alphabet | Letter | Probability (out of 26 letters) | |--------|----------------------------------| | A | 0.09 | | E | 0.12 | | I | 0.045 | | O | 0.1 | | U | 0.03 | #### Tasks: **(a)** Construct a probability distribution for the vowels A, E, I, O, and U. - **Probability with respect to the vowels only:** - **A:** - **E:** - **I:** - **O:** - **U:** (Simplify answers to three decimal places.) **(b)** Choose the correct bar chart representing the probability distribution from part (a). ### Bar Chart Options - **Option A:** A graphical representation with probabilities along the vertical axis and vowels along the horizontal axis. - **Option B:** Similar chart with a different distribution of probabilities. - **Option C:** Another chart with a distinct arrangement. Analyze the choices to determine which bar chart correctly reflects the calculated probability distribution for the vowels.
Transcribed Image Text:The table below shows the probability of selecting certain vowels from the alphabet. These probabilities are based on randomly choosing a letter from a text passage. Use the provided data to work through the following exercises. ### Table 1: Probability of Vowels in the Alphabet | Letter | Probability (out of 26 letters) | |--------|----------------------------------| | A | 0.09 | | E | 0.12 | | I | 0.045 | | O | 0.1 | | U | 0.03 | #### Tasks: **(a)** Construct a probability distribution for the vowels A, E, I, O, and U. - **Probability with respect to the vowels only:** - **A:** - **E:** - **I:** - **O:** - **U:** (Simplify answers to three decimal places.) **(b)** Choose the correct bar chart representing the probability distribution from part (a). ### Bar Chart Options - **Option A:** A graphical representation with probabilities along the vertical axis and vowels along the horizontal axis. - **Option B:** Similar chart with a different distribution of probabilities. - **Option C:** Another chart with a distinct arrangement. Analyze the choices to determine which bar chart correctly reflects the calculated probability distribution for the vowels.
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