In the US the North and South are quite different. Below is the joint probability distribution of political affiliation (R = Republican, I = Independent and D =Democrat) for a Northern city and a Southern city.(a)(b)R I DSouthern 0.24 0.04 0.12Northen 0.18 0.12 0.30(a) What is the probability of selecting a Republican given that we sample from the Northern city?(b) Are political affiliation and region of residence statistically independent random variables? Explain.

(a) In this scenario, we have data representing the joint probability distribution of political…

Answered: In the US the North and South are quite…

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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Given the new fad of health consciousness, a random sample of 400 college students was asked what their preferred type of drink was and whether they took regular or sugar free. The following table gives a two-way classification of the responses. Regular Sugar free TOTALS Juice 210 95 305 Iced Coffee 75 20 95 TOTALS 285 115 400 (a) If one student is selected at random from these 400 students, find the probability that this student (i) Prefers sugar free drinks (ii) Prefers juice (iii) Prefers regular juice (iv) Prefers juice given that it is a sugar free drink. (v) Prefers iced coffee or that drinks must be sugar free. (b) Are the events 'prefers juice' and 'prefers sugar free drinks' independent? Use probabilities to state your answer.
The table below shows the results of a survey that asked 1058 adults from a certain country if they favored or opposed a tax to fund education. A person is selected at random. Support Oppose Unsure Total Males 153 333 9 495 Females 230 303 30 563 Total 383 636 39 1058 Find the probability that the person is not unsure or is female. P(is not unsure or is female)=
A medical study looked at the factors that impact birth weight. The variable Visit Doctor indicated whether a woman visited a physician during the first trimester of her pregnancy. The variable Low Weight indicated whether a baby was born weighing under 2500 grams. Assuming that this sample is representative, answer the following probability questions. Low Weight Visit Doctor No Yes Total No 64 36 100 Yes 66 23 89 Total 130 59 189 1. What is the probability of randomly selecting a woman who had a low weight baby given that she had visited the doctor in the first trimester? 2. What is the probability of randomly selecting a woman who had a low weight baby given that she had not visited the doctor in the first trimester? 3. Using the probabilities that you have computed in (1) and (2) to answer the question, "Does visiting the doctor in the first trimester increase or decrease your risk of having a baby with a low birth weight?"
what is the random variable for the height of buildings? how do you find the probability distribution of the data below:
Blood Types and Rh Factors In addition to being grouped into four types, human blood is grouped by its Rhesus (Rh) factor. Consider the figures below that show the distributions of these groups for Americans. A B АВ Rh + 37% 34% 10% 4% Rh - 6% 6% 2% 1% Source: www.infoplease.com Send data to Excel Choose 1 American at random. Find the following probabilities. Enter your answers as decimals rounded to 3 decimal places.
Data was collected and placed into the following table. Brown eyes Blue eyes male 10 13 female 14 15 if someone who participated in the study is randomly selected, find the following probabilities. ( please use fractions and not decimals). A. P(Male B. P( female and brown eyes) C. P(Male or brown eyes) D. P( Female l blue eyes) E. P( Brown eyes l male) show work please!
Dr. Deming’s Red Bead Experiment is an exercise in the laws of probability. The workers were frustrated because no matter what they did, the outcome was not predictable. If the paddle holds 50 beads and there are 500 white beads and 50 red beads in the box, what is the probability, using one sample, of filling a paddle with 47 white beads and only three red beads? Give your answer as a percentage and share how you arrived at your conclusion
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The following table shows a recent study on the relationship between gender and preference for fried food: Likes Fried Food Does Not Like Fried Food TOTALS Male 220 180 400 Female 80 90 170 TOTALS 300 270 570 If a person is randomly selected and if that person is male what is the probability that he likes fried food and Evaluate whether gender and preference for fried food are independent in this case.
British Travel Agency has asked a junior manager to investigate flight delays during the week before Christmas at Heathrow Airport. The random variable X is the number of flights delayed per hour. The results are shown in the following table. x 0 1 5 2 3 4 6 7 8. p(x) 0.10 0.08 0.07 0.15 0.12 0.08 0.10 0.12 0.08 0.10 a) Show that the probability distribution is well defined and derive the cumulative probability distribution. b) Find the probability that there would be three through seven (inclusive) delayed flights per hour? c) Find the mean and variance of flights delayed per hour.

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