b. Fewer than 3 of these cardholders over age 50 will dispute at gailel.18 Records of a credit card company show that 30% of its cardholdersover age 50 dispute one or more charges on their statementsduring the year.is selected.probability that:A random sample of 10 cardholders over age 50Assuming the records are correct, find thea. Exactly 3 of these cardholders over age 50 will dispute acharge during the coming year,10/3-charge during the coming year,

Given,n=10p=0.30Let X=no.of cardholders dispute a charge X~Binomial(n=10 , p=0.30)P(X=x)=10x 0.30x…

Answered: 18 Records of a credit card company…

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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A rare type of HPV virus affects 1% of the population in a state. A new test is designed to detect the virus before an outward manifestation. If given to an infected person the test shows positive result 97% of the time. If given to an uninfected person the test shows positive (false) result 2% of the time. (Use a probability tree) If the test is given to a randomly chosen person in the population and gives a positive result, what is the probability that the person is actually infected?
A company did a study of available vacation time for their staff employees over the past years. They determined the probability a staff employee selected at random has 2 weeks’ vacation was 45%, 1 week vacation 10%, 3 weeks’ vacation 20%, and more than 3 weeks’ vacation was 25%. The company randomly selects 20 employees. What is the probability that out of the 20 selected, at least 2 workers have 1 week vacation time?
Suppose it is known that 5% of men age 50 and older I have prostate cancer. And a random sample of 25 men age 50 and older what is the probability that exactly to have prostate cancer?
3. A study conducted at a large hospital found that 27.8 percent of all patients admitted to the hospital's ICU remained in the ICU for less than 24 hours. (A) If 8 patients are selected at random from the ICU patients at the hospital, what is the probability that 2 or fewer of them remained in the ICU for less than 24 hours? (B) Suppose that 20 patients are selected at random from the ICU patients at the hospital. Calculate the mean and standard deviation of the number of these patients who remained in the ICU for less than 24 hours. (C) Another result of the study was that for elective (non-emergency) admissions to the hospital's ICU, the length of the stay in the ICU had a mean of 18.9 hours and a standard deviation of 3.9 hours. Assuming that the length of stay in the ICU for elective admissions is normally distributed, what proportion of elective admissions remained in the ICU for less than 24 hours?
c. In a poll, 500 individuals of different ages were asked to specify if they are in favour of a newly proposed law. The poll results, categorized by age group, are displayed in the following table: In Favour? \ Age Group Yes No Unsure 16-39 98 43 32 40-59 72 75 19 Find the probability that an individual picked at random: is older than 39 and is in favour of the proposed law; i. ii. is against the proposed law given that they fall in the age group 40-59; iii. falls in the age groups below 60 years given that they are unsure. 60+ 56 84 21
1] It has been reported that 50% of college students graduate in six years. Consider a random sample of 37 students and consider the number who graduate in six years. Using an appropriate probability distribution model ... Find the probability that more than 19 students in the sample graduate in six years. Find the probability that less than 19 students in the sample graduate in six years.
5. On average, there are 2 car thefts every 10 square kilometers during the course of a month in Shanghai. a. What is the probability that there will be no car thefts in a 10 square kilometer area next month? b. What is the probability that there will be 1 car theft in a 20 square kilometer area?
16. Ten percent of the students at a certain college are non-resident. A reporter for the student paper would like to interview at least 5 non-residents. If the reporter randomly selects 100 names from the student directory and begins contacting them, what is the probability that she will contact at least 5 non-resident students?
9. Assume that when adults with smartphones are randomly selected, 47% use them in meetings or classes. If 9 adults smartphone users are randomly selected, find the probability that is exactly 3 of them use their smartphones in meetings or classes. What is the probability? Round to four decimal places.

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