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.

Answered: Image /qna-images/answer/6ccb8c49-147d-4054-8d15-6f3f93758bb4.jpg

Answered: The table shows the probability of the…

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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Using table 2, find the probability that an accident victim was from Connecticut and had no restraints on. Detail your answer using the lettering given, e.g., P (A or C) = ... Table 2: Relative Frequencies Table A B Restraints No Restraints C California 0.622 0.309 0.931 D Connecticut 0.042 0.026 0.069 0.664 0.336 1.000
A variable of a finite population takes values 5, 7, or 8 and has the following frequency distribution: 5 7 8 frequency 25 40 60 Construct a probability histogram for variable X.
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Construct a probability distribution curve for the experiment and random variable. a. EXPERIMENT: Randomply picking 3 children in an orphanage with equal number of boys and girls to join a family. (B = boy ; G = girl) b. RV: Y which represents the number of girl to be picked.
Instructions Follow these steps: 1. Determine the random variable (what is being measured?) 2. Determine if the table below represents a probability distribution or not. 3. If it is a probability distribution, explain why (see the three criteria in the notes). If it is not a probability distribution, explain why not (which criteria are not met?) Here is the table: x: Number of answers correct on the quiz 0 1 2 3 4 You may use this "sentence frame" to make your post: The random variable is because P(X) .092 .124 .199 .583 .002 The table (is/is not) a probability distribution
IV. Solve the problem. (don't forget to attached the solution) The Xiaomi brand releases three cellphones that are tested at random. a. Construct the probability distribution of the random variable X (number of defective cellphones). Let G represent non-defective cellphones and, Let F be the defective cellphones. b. Create a histogram representing the distribution
1. Use this table for the following questions: Female Male TotalShort Hair 20 40 60 Long Hair 30 10 40 Total 50 50 100 a. Complete a total probability table.b. Complete a row probability tablec. Complete a column probability table.d. The probability that a student does not have long hair. _________e. The probability that a student is male or has short hair. ________f. The probability that a student is a female and has long hair. _________g. The probability that a student is male, given that the student has long hair. _________h. The probability that a student has long hair, given that the student is male. _________i. Of all the female students, the probability that a student has short hair. ________j. Of all students with long hair, the probability that a student is female. _________k. The probability that a student is female or has long hair.…
Construct a probability distribution for tossing four coins. Firstdetermine the sample space, and then create the probability distribution. Let X represent the number of heads.
The population of a certain country was studied in an article. The authors examined the different occupations for males and females in the country. The accompanying table is a frequency distribution of occupation type for males taking part in a survey. (Note: M=manufacturing, N=nonmanufacturing.) Complete parts (a) through (d) below. E Click the icon to view the frequencies of occupation type for surveyed males. a. Find the probability that a randomly selected male's occupation is clerk. O Frequencies of Olupation Types The probability that a randomly selected male's occupation (Type an integer or a decimal. Round to three decimal places as needed.) clerk is Occupation Frequency O b. Find the probability that a randomly selected male's occupation is administrative. Administrative/M 2089 Administrative/N 6636 The probability that a randomly selected male's occupation is administrative is (Type an integer or a decimal. Round to three decimal places as needed.) Technical/M 2389…
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. 0.108 (Type an integer or a decimal. Do not round.) - Probability Distribution for x Number of Girls x 0 1 2 3 4 5 6 7 8 Print P(x) 0.002 0.025 0.105 0.189 0.358 0.189 0.105 0.025 0.002 Done X
K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X

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