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Question;Problem number 5#;Eleven of the 50;digital recorders (DVRs) in an inventory are known to be defective. What is the;probability you randomly select an item that is not defective? The probability;is ---- (Do not round).;problem # 6 Identify;the sample space of the probability experiment and determine the number of;outcomes in the sample space. Randomly choosing an odd number between 1 and 9;inclusive The sample space is---- (Use a comma to separate answers as needed.;Use ascending order.) so there are ---- outcomes in the sample space.;problem#7. A software;company is hiring for two positions: a software development engineer and a;sales operations manager. How many ways can these positions be filled if there;are 19 people applying for the engineering position and 18 people applying for;the managerial position? The position can be filled in ---- ways.;problem#9. Consider a;company that selects employees for random drug tests. The company uses a;computer to randomly select employees numbers that range from 1 to 5839. Find;the probability of selecting a number less than 1000. Find the probability of;selecting a number greater than 1000. The probability of selecting a number;less than 1000 is--(Round to three decimal places as needed.) The probability;of selecting a number greater than 1000 is---(Round to three decimal places as;needed.);problem #10. Consider;a company that selects employees for random drug tests. The company uses;computer to randomly select employee numbers that range from 1 to 6282. Find;the probability of selecting a number less than 1000. Find the probability of;selecting a number greater than 1000. The probability of selecting a number;less than 1000 is--- round to three decimal places as needed. The probability;of selecting a number greater than 1000 is--- round to three decimal places as;needed.;problem #11. A;probability experiment consists of rolling a eight sided die and spinner shown;at the right. The spinner is equally likely to land on each color. Use a tree;diagram to find the probability of the given event. Then tell whether the event;can be considered unusual. Event: rolling a number less than 3 and the spinner;landing on yellow the probability of the event is --- (type an integer or;decimal rounded to three decimal places as needed.) Can the event be considered;unusual?;problem #12. Use the;frequency distribution, which shows the responses of a survey of college;students when asked, "How often do you wear a seat belt when riding in a;car driven by someone else?" Find the following probabilities of responses;of college students from the survey chosen at random. Response -- Never with;the frequency of 117, rarely-- frequency 344, sometimes-- frequency of 569;most of the time with the frequency of 1372, always with the frequency of 2591;complete the table below for the response and the probability;1. never is response;and the probability would be--- round to the nearest thousandth as needed.;2. response is rarely;and the probability would be--- round to the nearest thousandth as needed.;3. response is;sometimes and the probability would be--- round to the nearest thousandth as;needed 4. response is most of the time and the probability would be--- round to;the nearest thousandth as needed. 5. response is always and the probability;would be--- round to the nearest thousandth as needed.;problem #13. Use the;pie chart at the right, which shows the number of tulips purchased from a;nursery. Find the probability that a tulip bulb chosen at random is red the red;tulip bulbs are 30 the probability that a tulip bulb chosen at random is red;is--- (do not round).;problem#14. Use the;pie chart at the right, which shows the number of workers (in thousands) by;industry for a certain country. Find the probability that a worker chosen at;random was not employed in the mining and construction;industry. Agriculture, forestry, fishing and hunting 2981, services;115,861, manufacturing 16,055, and mining and construction 11,103. The;probability is---.(round to three decimal places as needed.);problem #15. In;gambling, the chances of winning are often written in terms of odds rather than;probabilities. The odds of winning is the ratio of the number of successful;outcomes to the number of unsuccessful outcomes. The odds of losing is the;ratio of the number of successful outcomes is 2 and the number of unsuccessful;outcomes is 3, the odds of winning are 2:3 (read "2 to"3) or 2/3.;(Note: If the odds of winning are 2/3, the probability of success is 2/5.) The;odds of an event occurring are 5:1. Find (a) the probability that the event;will occur and (b) the probability that the event will not occur. The;probability that the event will occur is---. (type an integer or decimal;rounded to the nearest thousandth as needed.) The probability that the event;will not occur is---(type an integer od decimal rounded to the nearest;thousandth as needed.);problem#16. The;chances of winning are often written in terms of odds rather than;probabilities. The odds of winning is the ratio of the number of successful;outcomes to the number of unsuccessful outcomes. The odds of losing is the;ratio of the number of unsuccessful outcomes is 2 and the number of;unsuccessful outcomes is 3, the odds of winning are 2:3 (read "2 to;3") or 2-3. A card is picked at random from a standard deck of 52 playing;cards. Find the odds that it is a 2 of spades. The odds that it is a 2 of;spades are---:--- (Simplify your answer).;problem;#17. In the general population, one women in;eight will develop breast cancer. Research has shown that 1 women in 650;carries a mutation of the BRCA gene. Eight out of 10 women with this mutation;develop breast cancer. (a) Find the probability that a random selected woman;will develop breast cancer given that she has a mutation of the BRCA gene. The;probability that a randomly selected woman will develop breast cancer given;that she has a mutation of the BRCA gene is---(round to one decimal place as;needed.) (b) Find the probability that a randomly selected woman will carry the;mutation of the BRCA gene and will develop breast cancer. The probability that;a randomly selected woman will carry the gene mutation and develop breast;cancer is ----(round to four decimal places as needed.) problem# 18. Suppose;80% of kids who visit a doctor have a fever, and 35% of kids with a fever have;sore throats. What's the probability that a kid who goes to the doctor has a;fever and a sore throat? the probability is--- (round to three decimal places;as needed). problem#19. According to Bayes' Theorem, the probability of event;A, given that event B, as occurred, is as follows. P(A| B)= P(A). P(B|A) over;P(A). P(B|A)+ P(A'). P(B|A') Use Bayes' Theorem to find P(A|B) using the;probabilities shown below. P(A)=2/3, P(A') =1/3, P(B|A)=1/10, and P(B|A')=1/2 The;probability of event A, given that event B has occurred, is P(A|B)=---- (round;to the nearest thousandth as needed).;problem # 20.;Determine the probability that at least 2 people in a room of 9 people share;the same birthday, ignoring leap years and assuming each birthday is equally;likely, by answering the following questions: (a). the probability that 9;people have different birthdays is---(round to four decimal places as needed).;(b) the probability that at least 2 people share a birthday is--- (round to;four decimal places as needed).;problem 21. By;rewriting the formula for the Multiplication Rule, you can write a formula for;finding conditional probabilities. The conditional probability of event B;occurring, given that event A has occurred, is P(B|A)= P(A and B)/ P(A). Use;the information below to find the probability that a flight arrives on time;given that it departed on time. The probability that an airplane flight departs;on time is 0.91, the probability that a flight arrives on time is 0.88, the;probability that a flight departs and arrives on time is 0.81, the probability;that a flight arrives on time given that it departed on time is----(round to;the nearest thousandth as needed);problem #25 The table;below shows the results of a survey that asked 2864 people whether they are;involved in any type of charity work. A person is selected at random from the;sample. Complete parts (a) through (c). frequently for male---225, for female;206 total for frequently is 431. occasionally for male is 456, female is 440;total is 896, for not at all male is 796, female is 741 total for this one is;1537, totals for male 1477, female1387 and the total is 2864, (a). Find;the probability that the person is frequently or occasionally involved in;charity work. P(begin frequently involved or being occasionally;involved)=---(round to the nearest thousandth as needed for all of them.) (b).;Find the probability that the person is female or not involved in charity work;at all. P(being female or not being involved)=--- (c) Find the probability that;the person is male or frequently involved in charity work. P(being male or;being frequently involved)=---(d) Find the probability that the person is;female or not frequently involved in charity work. P(being female or not frequently;involved)=---(e). Are the events "being female" and "being;frequently involved in charity work" mutually exclusive? Explain.;problem # 26.;Evaluate the given expression and express the result using the usual format for;writing numbers (instead of scientific notation). 56P2=--;problem # 27. Perform;the indicated calculation is 6P3/10P4=--- (round to four decimal places as;needed).;problem # 28. Perform;the indicated calculation. 9C3/13C3=---(round to the nearest thousandth as;needed).;problem #30. Outside;a home, there is a 9-key keypad with letters A,B,C,D,E,F,G,H, and I that can be;used to open the garage if the correct nine letter code is entered. Each key;may be used only once. How many codes are possible? The number of possible code;is----.;problem #31. A golf;course architect has six linden trees, four white birch trees, and two bald;cypress trees to plant in a row along a fairway. In how many ways can the;landscaper plant the trees in a row, assuming that the trees are evenly spaced?;The trees can be planted in --- different ways.;problem # 32. Shuttle;astronauts each consume an average of 3000 calories per day. One meal normally;consist of a main dish, a vegetable dish, and two different desserts. The;astronauts can choose from 10 main dishes, 7 vegetable dishes, and 12 desserts.;How many different meals are possible? The number of different meals possible;is----.;problem #33. A basket;contains 9 eggs, 3 of which are cracked. If we randomly select 4 of the eggs;for hard boiling what is the probability of the following events?(A.) All;cracked eggs are selected. (B). None of the cracked eggs are selected. (C). Two;of the cracked eggs are selected. (a). the probability that none of the cracked;eggs are selected is---- (b). the probability that none of the cracked eggs are;selected is---- (c) the probability that two of the cracked eggs are selected;is--- (Round all of them to four decimal places as needed.)

 

Paper#61233 | Written in 18-Jul-2015

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