A survey by Accenture indicated that 64% of millennials as compared to 28% of baby boomers prefer “hybrid� investment advice-a combination of traditional advisory services and low-cost digital tools-over either a dedicated human advisor or conventional robo-advisory services (computer-generated advice and services without human advisors) alone. Suppose that the survey was based on 500 respondents from each of the two generation groups. a. Construct a contingency table . b. Give an example of a simple event and a joint event. c. What is the probability that a randomly selected respondent prefers hybrid investment advice? d. What is the probability that a randomly selected respondent prefers hybrid investment advice and is a baby boomer? e. Are the events “generation group� and “prefer hybrid investment advice� independent? Explain?
A survey by Accenture indicated that 64% of millennials as compared to 28% of baby boomers prefer “hybrid� investment advice-a combination of traditional advisory services and low-cost digital tools-over either a dedicated human advisor or conventional robo-advisory services (computer-generated advice and services without human advisors) alone. Suppose that the survey was based on 500 respondents from each of the two generation groups. a. Construct a contingency table . b. Give an example of a simple event and a joint event. c. What is the probability that a randomly selected respondent prefers hybrid investment advice? d. What is the probability that a randomly selected respondent prefers hybrid investment advice and is a baby boomer? e. Are the events “generation group� and “prefer hybrid investment advice� independent? Explain?
Solution Summary: The author presents a contingency table that shows the number of respondents who prefer hybrid investment advice from two generation groups.
A survey by Accenture indicated that 64% of millennials as compared to 28% of baby boomers prefer “hybrid� investment advice-a combination of traditional advisory services and low-cost digital tools-over either a dedicated human advisor or conventional robo-advisory services (computer-generated advice and services without human advisors) alone.
Suppose that the survey was based on 500 respondents from each of the two generation groups.
a. Construct a contingency table.
b. Give an example of a simple event and a joint event.
c. What is the probability that a randomly selected respondent prefers hybrid investment advice?
d. What is the probability that a randomly selected respondent prefers hybrid investment advice and is a baby boomer?
e. Are the events “generation group� and “prefer hybrid investment advice� independent? Explain?
Definition Definition Visual representation of the relationship between two or more categorical variables. A contingency table is a categorical version of the scatterplot, which is used to visualize the linear relationship between two variables.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
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