### Statistical Analysis and Probability Distributions: Understanding Binomial Distribution---#### Problem Context:A survey was conducted in a town where each family had four children. The objective is to understand the distribution of the number of girls in these families.#### Given Data:- **Random Variable $X$**: Number of girls born to a randomly selected couple in a town with four children.- The probability distribution for the random variable $X$ is given, representing the number of girls (0, 1, 2, 3, or 4).| $ X $ | P( $ X = x $ ) ||--------|------------------|| 0 | 0.0625 || 1 | 0.2500 || 2 | 0.3750 || 3 | 0.2500 || 4 | 0.0625 |#### Tasks:1. **Calculate the Mean**: - The mean number of girls in the family is $ 2.0 $.2. **Calculate the Standard Deviation**: - The standard deviation for the number of girls is $ 1.00 $.3. **Probability Histogram**: - You are provided with four histogram options to visually represent the probability distribution of the random variable $X$.---#### Detailed Description of Histogram Options:- **Option A**: - Probability values are represented on the vertical axis. - Number of girls is represented on the horizontal axis (from 0 to 4). - The heights of the bars correspond to the probabilities 0.0625, 0.2500, 0.3750, 0.2500, and 0.0625 respectively from 0 to 4.- **Option B**: - Similar to Option A but with an incorrect probability representation.- **Option C**: - Similar to Option A but with an incorrect probability representation.- **Option D**: - Similar to Option A but with an incorrect probability representation.---#### Correct Histogram Selection:- The correct histogram should reflect the probabilities 0.0625, 0.2500, 0.3750, 0.2500, and 0.0625 for the values 0, 1, 2, 3

Given: Let a random variable X denotes the number of girls born to a randomly selected couple in…

Answered: ols A census collected data on everyone…

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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Using the data given below, determine whether it would unusual for a household to have no HD televisions. The number of televisions (HD) per household in a small town Televisions 1 2 Households 26 445 655 1474 P(x) 0.010 0.171 0.252 0.567 Choose the correct answer below. O A. It would be unusual because the probability of having no HD televisions is less than 0.05. OB. It would not be unusual because the probability of having no HD televisions is more than 0.05. O C. It would not be unuşual beçause 26 people have no HD televisions in the town. O D. It would be unusual because 26 people have no HD televisions in the town. Click to select your answer.
We are interested in analyzing data related to college football. Use S to denote the team is in the SEC and use W to denote a team has a winning season. The probability that a team is in the SEC in the data set is 5.5%. The probability that a team has a winning season is 52.5%. The probability that a team is in the SEC and has a winning season is 3.55%. What percentage of teams are in the SEC or had a winning season? b. What percentage of people teams are in the SEC and did NOT have a winning season? Given a team had a winning season, what is the probability that they are in the SEC? а. с.
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Classify the random variable X as discrete or continuous. Explain your reasoning. X represents the number of Blu-ray TM discs you own. A. Discrete; the number of discs is countable. B. Continuous; the number of discs could be any number greater than or equal to 0. C. Continuous; the number of discs is countable. D. Discrete; the number of discs could be any number greater than or equal to 0.
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An automotive center keeps track of customer complaints received each week. The probability distributions of complaints are shown below. The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05 Store B xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07 Compute the simulated averages and standard deviations of the number of complaints per week for each store and the total for both stores over the 52 weeks. Compare to the theoretical mean and standard deviations.
The random variable X is the crew size of a randomly selected shuttle mission. Its probability distribution is shown below. Complete parts a through c. 2 5 6 7 8 D 4 0.045 0.306 P(X=x) 0.025 0.187 0.431 0.006 ... a. Find and interpret the mean of the random variable. μ= 5.947 (Round to three decimal places as needed.) Interpret the mean. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. The average number of persons in a shuttle crew is 5.947 person(s). OB. The most common number of persons in a shuttle crew is person(s). b. Obtain the standard deviation of the random variable. O (Round to three decimal places as needed.) Check answer Help me solve this View an example Get more help. 30 20 F10 F4 MacBook Air F6 DII FB Clear all DD F9
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