Question

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 0.007 2 0.033 3 0.059 Does the table show a probability​ distribution? Select all that apply. A. ​Yes, the table shows a probability distribution. B. ​No, the sum of all the probabilities is not equal to 1. C. ​No, the random variable x is categorical instead of numerical. D. ​No, not every probability is between 0 and 1 inclusive. E. ​No, the random variable​ x's number values are not associated with probabilities. 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. muequals nothing women ​(Round to one decimal place as​ needed.) 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. sigmaequals nothing women ​(Round to one decimal place as​ needed.) B. The table does not show a probability distribution. Click to select and enter your answer(s).

Answer 1

The sum of all the probabilities = 0.001 + 0.007 + 0.033 + 0.059 = 0.1

Since the sum of all probabilities is not equal to 1, so it is not a probability distribution table.

Option - B) No, the sum of all the probabilities is not equal to 1.