Ted is not particularly creative. He uses the pickup line​ "If I could rearrange the​ alphabet, I'd put U and I​ together." The random variable x is the number of women Ted approaches before...













































Ted is not particularly creative. He uses the pickup line​ "If I could rearrange the​ alphabet, I'd put U and I​ together." The random variable x is the number of women Ted approaches before encountering one who reacts positively. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied.




x


​P(x)








0


0.001








1


0.009








2


0.027








3


0.063















Does the table show a probability​ distribution? Select all that apply.







A.


​Yes, the table shows a probability distribution.






B.


​No, not every probability is between 0 and 1 inclusive.






C.


​No, the sum of all the probabilities is not equal to 1.






D.


​No, the random variable​ x's number values are not associated with probabilities.






E.


​No, the random variable x is categorical instead of numerical.





Find the mean of the random variable x. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.






A.


μ=? women







B.


The table does not show a probability distribution.




Find the standard deviation of the random variable x. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice






A.


σ=? women ​




B.


The table does not show a probability distribution.






Jun 09, 2022
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