## Related questions with answers

The Journal of Consumer Research (Aug. 2011) published a study demonstrating the "last name" effect- i.e., the tendency for consumers with last names that begin with a later letter of the alphabet to purchase an item before consumers with last names that begin with earlier letters. To facilitate the analysis, the researchers assigned a number, x, to each consumer based on the first letter of the consumer's last name. For example, last names beginning with "A" were assigned x = 1, last names beginning with "B" were assigned x = 2, and last names beginning with "Z" were assigned x = 26. Do you believe the probability distribution in part a is realistic? Explain. How might you go about estimating the true probability distribution for x?

Solution

VerifiedThe letter $S$ occurs much more often than the letter $X$ and thus the probability of $x=19$ needs to be much larger than the probability of $x=24$ (as $S$ is the 19th letter and $X$ is the 24th letter).

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