Find the conditional probability. 17) The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. Age at Retirement 50-55 (A1) 56-60 (A2) 61-65 (A3) Over 65 (A4) Total Attorney (C1) 8 42 80 30 160 College Professor (C2) 10 37 71 40 158 Secretary (C3) 21 45 63 49 178 Store Clerk (C4) 18 44 70 50 182 Total 57 168 284 169 678 Suppose one of these people is selected at random. Compute the probability that the person selected college professor given that his or her age of retirement was between 56 and 60. A) 0.055 B) 0.220 C) 0.233 D) 0.234
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In the contingency table, the total number of retired people aged 56-60 is 168. Show more…
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The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement: Age at Retirement Career | 50-55 | 56-60 | 61-65 | Over 65 | Total Attorney | 10 | 34 | 79 | 42 | 165 College Professor | 10 | 50 | 81 | 41 | 182 Secretary | 21 | 45 | 63 | 49 | 178 Store Clerk | 18 | 44 | 70 | 50 | 182 Total | 59 | 173 | 293 | 182 | 707
Manisha S.
Find the indicated probabilities. If convenient, use technology or Table 2 in Appendix B to find the probabilities. Comfortable Retirement Fifty-one percent of workers are confident that they will retire with a comfortable lifestyle. You randomly select 10 workers. Find the probability that the number of workers who are confident that they will retire with a comfortable lifestyle is (a) exactly two, (b) more than two, and (c) between two and five, inclusive.
Discrete Probability Distributions
Binomial Distributions
Class Levels. A frequency distribution for the class level of students in Professor Weiss's introductory statistics course is as follows. $$\begin{array}{l|c} \hline \text { Class } & \text { Frequency } \\ \hline \text { Freshman } & 6 \\ \text { Sophomore } & 15 \\ \text { Junior } & 12 \\ \text { Senior } & 7 \\ \hline \end{array}$$ Two students are randomly selected without replacement. Determine the probability that a. the first student obtained is a junior and the second a senior. b. both students obtained are sophomores. c. Draw a tree diagram for this problem similar to Fig. 4.25 on page 182 d. What is the probability that one of the students obtained is a freshman and the other a sophomore?
Probability Concepts
The Multiplication Rule; Independence
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