**Problem Statement:**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.---**Given Table:**| $ x $ | $ P(x) $ ||--------|------------|| 0 | 0.001 || 1 | 0.008 || 2 | 0.030 || 3 | 0.061 |---**Questions:**1. **Does the table show a probability distribution? Select all that apply.** - $ \square $ A. Yes, the table shows a probability distribution. - $ \boxtimes $ B. No, the sum of all the probabilities is not equal to 1. - $ \square $ C. No, the random variable x's number values are not associated with probabilities. - $ \square $ D. No, not every probability is between 0 and 1 inclusive. - $ \square $ E. No, the random variable x is categorical instead of numerical.2. **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.** - $ \square $ A. $ \mu = \square $ women (Round to one decimal place as needed.) - $ \boxtimes $ B. The table does not show a probability distribution.---**Explanation:**The given table is supposed to represent a probability distribution of variable $ x $, which is the number of women Ted approaches. For a valid probability distribution, the sum of all probabilities $ P(x) $ should equal 1. The sum of the probabilities provided is 0.001 + 0.008 + 0.030 + 0.061 = 0.100, which does not equal 1. Therefore, this table does not represent a valid probability distribution.

Given that Probability mass function of X is X P(x) 0 0.001 1 0.008 2 0.030 3 0.061

Answered: Ted is not particularly creative. He…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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