b. The director of admissions at a state college has taken a sample of recent admissions decisions and formedthe following table regarding the admissions status (admitted, waiting list, denied admission) and the typeof community in which an applicant resides (urban, suburban, rural).UrbanSuburbanRuralAdmitted654256Wait List382926Denied522420i. If an applicant is taken at random, what is the probability that the applicant is in the waiting list andresides in a rural area?ii. Given that an applicant resides in a suburban area, what is the probability that the applicant isadmitted?iii. If an applicant is taken at random, what is the probability that the applicant has been deniedadmission?iv. A randomly selected applicant turns out to be in the waiting list. Compute the probability that thisapplicant resides in an urban area

Table .Admitted(A) Wait list(W)Deined(D)Total Urban(U)653852155Suburban(Si)…

Answered: b. The director of admissions at a…

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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The following contingency table shows the cross tabulation of data collected for a company that was studying their employees. Data was collected on the gender (male/female) and their position (manager/non-manager). Manager Non-Manager Total Male 15 25 40 Female 20 40 60 Total 35 65 100 Calculate the probability that a randomly selected employee is female OR a manager.
A survey of recent e-commerce start-up firms was undertaken at an industry convention. Representatives of the firm were asked for the geographic location of the firm as well as the firm's outlook for growth in the coming year. The results are provided below. Expected Growth a) b) Low Medium High Total Northeast 57 36 105 South 42 18 24 84 Region Midwest 36 15 75 West 12 15 9 Calculate the missing values. Produce the probability table. What is the probability that one of these start-up firms was from the Northeast? Total 147 93 60 d) What is the probability that one of these start-up firms' expected growth is Medium? e) What is the probability that one these start-up firms was from the Midwest and expected growth was rated as high?
3. An airline tracks data on the flight arrivals. Over the past 6 months, 65 flights on one route around early, 130 arrived on time, 15 were late, and 30 were cancelled. A. What is probability the flight is early? On time? Late? Canceled? B. Are thes outcomes exclusive? C. What id the probability that a flight is either early or on time?
The following table lists the number of unicyclists in Corvallis, OR. by age group. Age Group Frequency ≤19 64 20-29 52 30-39 46 40-49 68 50-59 94 60-69 68 ≥70 77 What is the probability that a randomly selected unicyclist from Corvallis, OR. is not between 30 and 39?
The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12 years. Complete parts (a) through (e). (b) What is the probability that a randomly selected murder resulted from a rifle or shotgun? (Type a decimal rounded to three decimal places as needed.) P(rifle or shotgun) = Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders were randomly selected, exactly of them would have resulted from a rifle or shotgun. B. If 1000 murders were randomly selected, we would expect about of the to have resulted from a rifle or shoto (c) What is the probability that a randomly selected murder resulted from a handgun, rifle, or shotgun? P(handgun, rifle, or shotgun) = (Type a decimal rounded to three decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders…
All 400 employees at an accounting firm indicated what size of vehicle they drive: compact car, mid- size car, large car, or truck. The following table gives a two-way classification of their responses. Compact Car Mid-size Car Large Car Truck 54 48 Male Female 40 51 O b. 0.485, 0.2, 0.65, 0.5294. Management selects one employee at random. Let p₁ be the probability that the employee is a female, p2 the probability that the employee is a male and drives a mid-size car, p3 the probability that the employee is a female or drives a truck, and p4 the probability that the employee is a male knowing that the employee drives a truck. Then the P₁, P2, P3, and P4 are, respectively, (Choose one from the following which is closest to the correct answer.) O c.0.515, 0.2, 0.65, 0.5294. 80 73 O e. 0.515, 0.6675, 0.65, 0.5294. O d. 0.515, 0.2, 0.12, 0.5294. a. 0.515, 0.2, 0.65, 0.135. 20 34
A random sample of 1000 adults has the elements of the sample classified by sex (= Male or Female) and educations ( = College, high School or Elementary). The results are summarized in the contingency table below. College High School Elementary Male 130 270 140 Female 170 180 110 Find the probability that a randomly selected person who is selected from the survey members is male, given that the individual finished college.
8) Given the following table with eye color and hair color for a sample of 592 people... Black hair Brown hair Blond hair 16 10 Red hair Total Green eyes Hazel eyes Blue eyes Brown eyes Total 29 14 14 15 54 84 119 20 17 26 94 68 a) What percent of people with brown hair have blue eyes? b) What is the probability someone with green or hazel eyes has red hair? 102 F Par 99+
b. In a survey of 99 families in Karachi, 45 were low income families who at some point in time were involved in electricity theft. 13 were low income families who never did any violation. 16 were high income families who involved in electricity theft, and 25 high income families never did any violation. If One of these subject is randomly selected, what is the probability of: i. Low income families or someone who did electricity theft. ii. Low income families or someone who did not do violation. iii. High income families or someone who did electricity theft.
Based on a study by Dr. P. Sorita at Indiana University, assume the eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel a. If one person is randomly selected, what is the probability that this person will have brown or blue eyes? b. If two people are randomly selected, what is the probability that at least one of them has brown eyes?
A random sample of cars was classified by size: small, medium, and large, and by region of manufacture: Asia, Europe, and North America. The following data resulted: Size of Car Small Mid-size Total Region of Manufacture Asia 92 54 2 148 Europe 19 17 40 North America Total 26 53 36 115 137 124 42 1. Among the cars manufactured in Asia, what is the probability of selecting a large car? 2. What is the probability of selecting a car that is mid-size or manufactured in North America? 3. What is the probability of selecting a car manufactured in Europe? If three cars are selected at random and without replacement, what is the probability they are all small cars manufactured in Asia? 4. Are 'region of manufacture' and 'size of car' independent or dependent? Justify your conclusion mathematically.
The table below summarizes a survey involving the relationship between living arrangements and grade point average for a group of students. If a student is selected randomly from this group, what is the probability that the student lives off campus? On Campus At home Apartment Totals Below 2.5 97 38 44 179 2.5 to 3.5 66 26 22 114 Over 3.5 18 5 8 31 Totals 181 69 74 324

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