Section 5.1 Homework

3.  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.

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

1. Yes, the table shows a probability distribution.
2. No, the sum of all the probabilities is not equal to 1.
3. ​No, the random variable​ x’s number values are not associated with probabilities.
4. No, not every probability is between 0 and 1 inclusive.
5. 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.

1. ____ women
2. 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.

1. ___ women
2. The table does not show a probability distribution