A large retail chain sends out an ad about a new product to 15 million users on
Question:
A large retail chain sends out an ad about a new product to 15 million users on Facebook and asks them to like the message. Assume the probability that a user will like the message (instead of ignoring it) is 0.00001.
a. State assumptions for a binomial distribution to apply for X = the number of likes the message will receive. Identify n and p for that distribution.
b. Suppose the assumptions are met. Find the mean and standard deviation of X.
c. Is it reasonable to approximate the binomial distribution with the normal one? Why? (Assume the assumptions are met.)
d. Based on the normal approximation of the binomial distribution, find the interval for the possible numbers of likes that are within three standard deviations of the mean.
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Step by Step Answer:
Statistics The Art And Science Of Learning From Data
ISBN: 9780321997838
4th Edition
Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg