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.

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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.
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