**Probability Distribution Example for Courses**Let \( x \) be the number of courses for which a randomly selected student at a certain university is registered. The probability distribution of \( x \) is shown in the following table:| \( x \) | 1 | 2 | 3 | 4 | 5 | 6 | 7 ||-----------|-----|-----|-----|-----|-----|-----|-----|| \( p(x) \) | 0.03 | 0.04 | 0.09 | 0.24 | 0.40 | 0.14 | 0.06 |It can be easily verified that the mean \( \mu = 4.6 \) and the standard deviation \( \sigma = 1.29 \).---**(a)** Because \( \mu - \sigma = 3.31 \), the \( x \) values 1, 2, and 3 are more than 1 standard deviation below the mean. What is the probability that \( x \) is more than 1 standard deviation below its mean?[Probability Input Box]---**(b)** What \( x \) values are more than 2 standard deviations away from the mean value (either less than \( \mu - 2\sigma \) or greater than \( \mu + 2\sigma \))? (Select all that apply.)- [ ] \( x = 1 \)- [ ] \( x = 2 \)- [ ] \( x = 3 \)- [ ] \( x = 4 \)- [ ] \( x = 5 \)- [ ] \( x = 6 \)- [ ] \( x = 7 \)---**(c)** What is the probability that \( x \) is more than 2 standard deviations away from its mean value?[Probability Input Box]

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Answered: ADK TOUR TEACHER Let x be the number of…

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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A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. 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. P(x) 0.091 0.335 0.417 1 2 0.157 Does the table show a probability distribution? Select all that apply. O 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 is categorical instead of numerical. | 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. O A. µ= adult(s)…
Q2: For the project, its data shown below find: ● Time in weeks that gives a probability of %97.5 Probability of finishing the project 4 weeks more than TE Probability of finishing the project 3 weeks less than TE Act. 1-2 2-3 2-5 2-4 3-4 3-7 5-6 6-7 4-7 0 8 4 7 7 4 7 10 10 4 M 10 5 8 9 6 8 14 14 5 24 12 21 11 8 15 24 24 12
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Does the following table represent the probability distribution for a discrete random variable? Explain your answer.
A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. 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) - 0.095 1 0.348 2 0.391 3 0.166 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's number values are not associated with probabilities. D. No, not every probability is between 0 and 1 inclusive. 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. O A. adult(s) (Round to one decimal place as needed.) B. The table does not show a…
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A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. 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. P(x) 0.088 1 0.331 2 0.409 3 0.172 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, the random variable x's number values are not associated with probabilities. E. No, not every probability is between 0 and 1 inclusive. 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. O A. adult(s) (Round to…
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