Section 5.1 Homework Question 3

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Section 5.1 Homework Question 3

Question

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

 

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This question is taken from Math 10 – Introduction to Statistics » Summer 2021 » Section 5.1 Homework