R4.2. Workers A company's human resources officer reports abreakdown of employees by job type and sex shown in thetable.Job TypeSexMale FemaleManagement76Supervision 8Production451272a) What's the probability that a worker selected at random isi) female?ii) female or a production worker?iii) female, if the person works in production?iv) a production worker, if the person is female?b) Do these data suggest that job type is independent ofbeing male or female? Explain.

The given information is:The following table is the report of employees of job type and sex. Job…

Answered: R4.2. Workers A company's human…

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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2. The breakdown of workers in a particular state according to their political affiliation and type of job held is shown here. Suppose a worker is selected at random within the state and the worker's political affiliation and type of job are noted. Given the worker is a Democrat, what is the probability that the worker is in a white collar job. Give your answer as a decimal rounded to the nearest thousandth. Type of job 0 A. 0.472 0 B. 0.304 0 C. 0.459 Q D. 0.661 White collar Blue Collar Republican Democrat Independent 11% 17% 8% 15% 20% 29%
7. Giving a test to a group of students, the grades and gender are summarized below. If one student was chosen at random, find the probability that the student was female. Total Male 8. 18 13 39 Female 10 4 12 26 Total 18 22 25 65 8. The table below shows the number of credit cards owned by a group of individuals. If one person was chosen at random, find the probability that the person had no credit cards. Zero One Two or more Total Male 5 19 33 Female 18 10 20 48 Total 27 15 39 81
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4. A men's clothing store developed a customer waist size probability table from a sample of 300 customers, as shown. Waist Size (Inches) Probability 26-28 0.000 28-30 0.025 30-32 0.175 32-34 0.295 34-36 0.300 36-38 0.160 38-40 0,045 40-42 0.000 a) Find the number of customers in this sample who had waist sizes from 30-36 inches. b) Is this distribution a uniform distribution? Explain.
6.) The National Spinal Cord Injury Statistical Center reports that 45% of all spinal cord injuries are caused by vehicle crashes. Suppose that we choose 15 spinal cord injuries at random.a.) What is the probability that 8 of the chosen injuries are from vehicle crashes? (Usethe formula)b.) What is the probability that fewer than 5 of the chosen injuries are from vehiclecrashes? (Use the calculator)c.) What is the probability that more than 9 of the chosen injuries are from vehiclecrashes? (Use the calculator)d.) What is the probability that between 4 and 10 of the chosen injuries are from vehiclecrashes? (Use the calculator)e.) What is the expected number of such injuries to result from vehicle crashes?f.) What is the standard deviation of the number of injuries resulting from vehiclecrashes?
29. Giving a test to a group of students, the grades and gender are summarized below. If one student was chosen at random, find the probability that the student was female and earned an A. A Total Male 8. Female 18 13 39 10 4 12 26 Total 18 22 25 65 30. The table below shows the number of credit cards owned by a group of individuals. If one person was chosen at random, find the probability that the person was male and had two or more credit cards. Zero One | Two or more Total Male 9. 19 33 Female 18 10 20 48 Total 27 15 39 81
8. Cell phones and surveys II The survey by the National Cen- ter for Health Statistics further found that 71% of adults 25-29 had only a cell phone and no landline. We randomly select four 25-29-year-olds: ages a) What is the probability that all of these adults have only a cell phone and no landline? b) What is the probability that none of these adults have only a cell phone and no landline? c) What is the probability that at least one of these adults has only a cell phone and no landline?
. Based on past experience, a company knows that an experienced machine operator will produce a defective item 2% of the time. Operators with some experience produce a defective item 3.5% of the time, and new operators will produce a defective item 9% of the time. At any one time, the company has 53% experienced operators, 33% operators with some experience,and 14% new operators. draw a tree diagram. Given that the item is defective, what is the probability that it was made by a new operator?
2. Use the table below, based on the most recent survey of moviegoers who viewed movie Joker, to answer the following questions. (The cell values are frequencies). Rating Fantastic Very good OK Pretty bad Awful Male 34 18 47 14 17 Gender Female 27 19 44 12 26 a) Determine the probability a moviegoer selected at random rated Joker as "Very good" or better (L.e., "Very good" or "Fantastic"). b) Determine the probability a Female moviegoer selected at random rated Joker as "Very good" or better (meaning "Very good" or "Fantastic"). c) Given your answers to Parts a), b), and c), are the two variables - Joker ratings and Gender-statistically independent?
2. The following table shows the income distribution for two groups of people in a country: those who declare to belong to a faith, and those who declare to be free thinkers. Income bracket Middle 13278 2225 Religious outlook Faith believer Free thinker Lower 7940 1241 Upper 4527 813 (a) A person is randomly selected from the group, find the probability that this person is a (i) free thinker. (ii) free thinker given that he/she has middle income. (iii) faith believer or he/she has lower income. (b) Are the events "Free thinker" and "Middle income" independent? Explain your answer. (Note: Round the probabilities to two significant figures)
6).In the game of blackjack as played in casinos in Las Vegas, Atlantic City, Niagara Falls, as well as many other cities, the dealer has the advantage. Most players do not play very well. As a result, the probability that the average player wins a hand is about 0.48. Find the probability that an average player wins A. twice in 5 hands. Probability = B. 10 or more times in 25 hands. Probability = There are several books that teach blackjack players the "basic strategy" which increases the probability of winning any hand to 0.55. Assuming that the player plays the basic strategy, find the probability that he or she wins C. twice in 5 hands. Probability = D. 10 or more times in 25 hands. Probability =

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