(a) If a student is selected at random from the university, find the probability that the student selected is (i) a female, (ii) a male in Level 300, (iii) an evening student in Level 200.
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The table below shows the classification of students of a certain university.
|
|
Day Students |
Evening students |
|
||
|
|
Male |
Female |
Male |
Female |
Total |
|
Level 100 |
50 |
25 |
120 |
60 |
255 |
|
Level 200 |
35 |
15 |
100 |
50 |
200 |
|
Level 300 |
40 |
10 |
110 |
40 |
200 |
|
Level 400 |
15 |
5 |
125 |
55 |
200 |
|
Total |
140 |
55 |
455 |
205 |
855 |
(a) If a student is selected at random from the university, find the probability that the student selected is
(i) a female,
(ii) a male in Level 300,
(iii) an evening student in Level 200.
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- One hundred college seniors attending a career fair at a university wereThe table below shows the results of a survey that asked 1068 adults from a certain country if they favored or opposed a tax to fund education. A person is selected at random. Complete parts (a) through (c). Support Oppose Unsure Total Males 173 334 512 Females 242 294 20 556 Total 415 628 25 1068 ... (a) Find the probability that the person opposed the tax or is female. P(opposed the tax or is female) = (Round to the nearest thousandth as needed.)Given the new fad of health consciousness, a random sample of 400 college students was asked what their preferred type of drink was and whether they took regular or sugar free. The following table gives a two-way classification of the responses. Regular Sugar free TOTALS Juice 210 95 305 Iced Coffee 75 20 95 TOTALS 285 115 400 (a) If one student is selected at random from these 400 students, find the probability that this student (i) Prefers sugar free drinks (ii) Prefers juice (iii) Prefers regular juice (iv) Prefers juice given that it is a sugar free drink. (v) Prefers iced coffee or that drinks must be sugar free. (b) Are the events 'prefers juice' and 'prefers sugar free drinks' independent? Use probabilities to state your answer.
- A new boarding policy has been proposed by an airline. Frequent flyers and non-frequent flyers were asked for their opinions, and the results are summarized in the table shown here. Find the probability a person chosen at random from among the people surveyed favors the new policy given they are a frequent flyer. Opinion on Policy In Favor Of Neutral (B) Opposed To (A) (C) Frequent Fliers (D) 48% 23% 4% 75% Non-Frequent Fliers (E) 15% 3% 7% 25% 63% 26% 11% 100%A university conducted a survey of 272 Sophomore, Junior, and Senior undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. Sophomore Junior Senior Total Satisfied 48 65 59 172 Neutral 16 18 9. 43 Not satisfied 16 14 27 57 Total 80 97 95 272 A survey participant is selected at random. What is the probability that he or she is a Junior or Senior? The probability that a student is a Junior or a Senior is (Round to three decimal places as needed.)The table below shows the results of a survey that asked 2853 people whether they are involved in any type of charity work. A person is selected at random from the sample. Complete parts (a) through (d). ET TIE Frequently Occasionally Not at all Total Male 223 453 793 1469 Female 205 430 749 1384 Total 428 883 1542 2853 (..... (a) Find the probability that the person is frequently or occasionally involved in charity work. P(being frequently involved or being occasionally involved) = (Round to the nearest thousandth as needed.)
- Each month a brokerage house studies various companies and rates each company's stock as being either "low risk" or "moderate to high risk." In a recent report, the brokerage house summarized its findings about 18 aerospace companies and 55 food retailers in the following table: Company Type Aerospace company Food retailer Low Risk 10 25 Probability If we randomly select one of the total of 73 companies W (a) Find the probability that the company's stock is moderate to high risk given that the firm is an aerospace company. (Round your answer to 4 decimal places.) Moderate to High Risk 8 30 0.4444The table below shows the results of a survey that asked 1058 adults from a certain country if they favored or opposed a tax to fund education. A person is selected at random. Complete parts (a) through (c). Support Oppose Unsure Total Males 154 327 490 Females 243 293 32 568 Total 397 620 41 1058 (a) Find the probability that the person opposed the tax or is female. P(opposed the tax or is female) = 0.846 (Round to the nearest thousandth as needed.) (b) Find the probability that the person supports the tax or is male. P(supports the tax or is male) = 0.693 (Round to the nearest thousandth as needed.) (c) Find the probability that the person is not unsure or is female. P(is not unsure or is female) = Incorre (Round to the nearest thousandth as needed.)A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2077 class attendees. The data is summarized in the table below. Class Type and Member Status of Class Attendees Class Type Member Non-Member Barre 238 205 Boot Camp 166 164 Boxing 285 233 Spinning 176 182 Yoga 178 250 ev What is the probability that a class attendee is a non-member of the gym and is attending a barre class or is a member of the gym and is attending a yoga class? Enter a fraction or round your answer to 4 decimal places, if necessary.
- A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data from a random month, in which there were 2421 class attendees. The data is summarized in the table below. Class Type and Member Status of Class Attendees Class Type Member Non-Member Barre 242 92 Boot Camp 270 293 Boxing 294 272 Spinning 219 251 Yoga 277 211 What is the probability that a class attendee is a non-member of the gym and is attending a boxing class? Enter a fraction or round your answer to 4 decimal places, if necessary.The following table shows the number (in thousands) of degrees, by level and gender, conferred by colleges in the United States in a recent year. Level of Degree Gender Associate's Bachelor's Master's Doctoral Total Male 361 734 292 80 1467 Female 581 982 439 84 2086 Total 943 1716 731 164 3553 A graduate is selected at random. Find the probability that the person selected: a. Earned a master's or doctoral degree; b. Earned a bachelor's degree, given that the person is a female; Earned a master's degree or is a male d. Earned an associate's degree and is a male e. is a female, given that the person earned a bachelor's degree. C.The following table shows a recent study on the relationship between gender and preference for fried food: Likes Fried Food Does Not Like Fried Food TOTALS Male 220 180 400 Female 80 90 170 TOTALS 300 270 570 If a person is randomly selected and if that person is male what is the probability that he likes fried food and Evaluate whether gender and preference for fried food are independent in this case.
