Q #1

A national park is famous for its beautiful desert landscape and its many natural rock formations. The following table is based on information gathered by a park ranger of all rock formations of at least 3 feet. The height of the rock formation is rounded to the nearest foot. Height of rock formation, feet 39 1029 3049 5074 75 and higher Number of rock formations in park 112 87 20 40 17 For a rock formation chosen at random from this park, use the preceding information to estimate the probability that the height of the rock formation is as follows. (Round your answers to two decimal places.) (a) 3 to 9 feet 0.3? x (b) 30 feet or taller 0.30 x (c) 3 to 49 feet 083 x (d) 10 to 74 feet (e) 75 feet or taller Need Help? Submit Answer Are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States. Less 111an 1 Year 1-2 Years 34 Years 5-9 Years 10-14 Years 15 or More Years Row Total East 32 38 59 112 77 120 438 Midwest 31 72 68 120 63 159 513 South 53 110 93 158 106 208 728 West 41 71 67 78 45 93 395 Column Total 157 291 287 468 291 580 2074 What is the probability that a customer chosen at random has the following characteristics? (Enter your answers as fractions.) (a) has been loyal 10 to 14 years 291/2074 y (b) has been loyal 10 to 14 years, given that he or she is from the East 77/438 ,, (c) has been loyal at least 10 years 87112074 V (d) has been loyal at least 10 years, given that he or she is from the West 1381395 f (e) is from the West, given that he or she has been loyal less than 1 year 41/157 ,, (f) is from the South, given that he or she has been loyal less than 1 year 53/157 v (9) has been loyal 1 or more years, given that he or she is from the East 203219 J (h) has been loyal .I or more years, given that he or she is from the West : (i) Are the events from the East and loyal 15 or more years independent? Explain. O No. These events cannot occur together. 6) No. P(loyal 15 or more years) i P(loyal 15 or more years | East). O Yes. These events can occur together. 0 Yes. P(loyal 15 or more years) = P(loyal 15 or more years | East). J Need Help? 7. [l1 Points] DETAILS BBUNDERSTAT12 4.3.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER There are eight wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are eight choices for the rst wire, seven for the second wire, six for the third wire, etc.) Z Need Help? 10. [011 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 4.3.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Compute P8,8- 3: Need Help? E 13. [I1 Points] DETAILS BBUNDERSTAT12 4.3.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In the Cash Now lottery game there are 16 finalists who submitted entry tickets on time. From these 16 tickets, three grand prize winners will be drawn. The Frst prize is one million dollars, the second prize is one hundred thousand dollars, and the third prize is ten thousand dollars. Determine the total number of different ways in which the winners can be drawn. (Assume that the tickets are not replaced after they are drawn.) :I Need Help? @ 14. [OM Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 4.3.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The University of Montana ski team has five entrants in a men's downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the five team entrants achieve first, second, and third places? _x Need Help? 6 9 O Q Q https://www.webassign.net/web/Studant/AssignmentResponses... {3 E! 0i 6'" 5:: g . {3 I {'5 . \"h 16. [0.66/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT1 2 4.3.027. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The qualied applicant pool for three management trainee positions consists of six women and four men. (a) How many different groups of applicants can be selected for the positions? (b) How many different groups of trainees would consist entirely of women? _ (c) Probability extension: If the applicants are equally qualied and the trainee positions are selected by drawing the names at random so that all groups of three are equally likely, what is the probability that the trainee class will consist entirely of women? (Round your answer to four decimal places.) _x Need Help? ii Clih ' ' nmnnr ,0 Type here to search El, 77