**Educational Resource: Probabilities in Credit Card Dispute Scenarios****Scenario Description:**Records from a credit card company demonstrate that 30% of cardholders over the age of 50 dispute one or more charges annually. Given this data, a random sample of 10 cardholders over 50 is taken. The following probabilities are to be determined:**Task: Probabilities to be Calculated**a. **Probability of Exactly 3 Cardholders Disputing a Charge:** Calculate the probability that exactly 3 out of the sampled 10 cardholders will dispute a charge within the year.b. **Probability of Fewer Than 3 Cardholders Disputing a Charge:** Determine the probability that fewer than 3 cardholders will dispute a charge within the year.c. **Probability of At Least 7 Cardholders Disputing a Charge:** Find the probability that at least 7 cardholders will dispute a charge within the year.d. **Analysis of Results:** If the sampling outcome shows that at least 7 cardholders dispute a charge, infer the conclusion based on the assumption that the sampling was random and unbiased. Provide an explanation for this conclusion.**Instruction:**The scenarios above involve calculating probabilities in a binomial distribution setting, where:- The probability of success (a cardholder disputing a charge) is 0.30.- The number of trials is 10 (the size of the sample).**Graph/Diagram Explanation:**No specific graph or diagram is included. However, if demonstrating this with a chart, a binomial probability distribution graph can be used, highlighting the probabilities at x = 3, x < 3, and x ≥ 7, as applicable in scenarios a, b, and c.**Notes:**The handwritten "X" marks in the document may indicate answers or steps already addressed, while the concluding notes suggest considering the randomness and unbiased nature of the sampling process in drawing an inference for part d.

A random variable x will follow the binomial distribution if the following conditions are satisfied.…

Answered: during the year. A rảndom sample of 10…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Please answer question 17. Thank you!
60% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 44 owned dogs are randomly selected, find the probability thata. Exactly 27 of them are spayed or neutered. b. At most 29 of them are spayed or neutered. c. At least 27 of them are spayed or neutered. d. Between 26 and 33 (including 26 and 33) of them are spayed or neutered.
62% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 48 owned dogs are randomly selected, find the probability thata. Exactly 30 of them are spayed or neutered. b. At most 33 of them are spayed or neutered. c. At least 31 of them are spayed or neutered. d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.
.A single 6-sided die is rolled. What is the probability it lands on a number less than 5? 1/6 1/2 1/3 2/3
Suppose a math class contains 37 students. There are 19 females (six of whom speak Spanish) and 18 males (five of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
16% of all Americans live in poverty. If 31 Americans are randomly selected, find the following probabilities. Round answers to 4 decimal places. a. Probability that exactly 4 of them live in poverty. b. Probability that at most 7 of them live in poverty. c. Probability that at least 5 of them live in poverty. d. Probability that between 1 and 6 (including 1 and 6) of them
According to a recent study, 3 in every 8 women has been a victim of domestic abuse. This probability was obtained from a survey of 1,000 adult women. Suppose we randomly sample 25 women and find that 7 have been abused. Complete parts a through c below. G a. What is the probability of observing 7 or more abused women in a sample of 25 if the proportion p of women who are victims of domestic abuse is really p= ㅎ? The probability of observing 7 or more abused women in a sample of 25 is (Round to four decimal places as needed.)
85% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 40 owned dogs are randomly selected, find the probability thata. Exactly 32 of them are spayed or neutered. b. At most 33 of them are spayed or neutered. c. At least 33 of them are spayed or neutered. d. Between 31 and 35 (including 31 and 35) of them are spayed or neutered. Submit QuestionQuestion 9
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
Assume that when human resource managers are randomly selected, 38% say job applicants should follow up within two weeks. If 30 human resource managers are randomly selected, find the probability that exactly 23 of them say job applicants should follow up within two weeks. a.The probability is?
7. 64% of all violent felons in the prison system are repeat offenders. If 40 violent felons are randomly selected, find the probability that a. Exactly 23 of them are repeat offenders. ?b. At most 28 of them are repeat offenders. ?c. At least 27 of them are repeat offenders. ?d. Between 23 and 30 (including 23 and 30) of them are repeat offenders. ?

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