A recent survey shows that 10% of households in San Bernardino county installed a security system at home in 2022. You randomly selected 6 households in San Bernardino county and asked whether they had installed a security system at home in 2022.(1) How many outcomes are there in the sample space?Consider one outcome could be Yes No No No No No, i.e., the first household responded Yes, installed a security system in 2022, and all the other five responded No.\[ \boxed{64} \]Let \( X \) denote the number of household(s) that installed a security system in 2022 among the 6 households you sampled.(2) How many possible values are there for \( X \)?\[ \boxed{7} \](3) What's the probability that \( X = 1 \)?\[ \boxed{0.354} \][Select] 0.354 0.06 Other options (not shown) The image contains an exercise related to probability and statistics. Here is a transcription suitable for an educational website:---**Exercise: Probability and Statistics**Consider the scenario where you select the number of household(s) that installed a security system in 2022 among the 6 households you sampled.**Questions:**2. **How many possible values are there for X?** - Answer Option: [ 7 ]3. **What's the probability that X = 1?** - Answer Selection: [ Select ]4. **What is the expected value of X?** - Answer Selection: [ Select ]5. **What is the variance of X?** - Answer Selection: [ Select ]---This exercise seems to involve a discrete random variable X representing the number of households with a security system. The text suggests exploring possible values, calculating probabilities, expected value, and variance. The interactive components (dropdowns) indicate that this exercise might be part of an online questionnaire or quiz.

The survey shows that 10% of households in San Bernardino County installed a security system.sample…

Answered: A recent survey shows that 10% 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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Ecologists conducted a study to investigate the potential ecological impact of golf courses. Investigators monitored the reproductive success of bluebirds in birdhouses at nine golf courses and ten similar birdhouses at nongolf sites. Data on nests in birdhouses occupied only by bluebirds are shown in the table. If the proportions of nests occupied is the same for golf and nongolf sites, what would be the expected count of birdhouse with 1 nest in nongolf locations? O nests 1 nest Total 2 or 3 nests Golf 30 42 8 80 Nongolf 40 58 22 120 Total 70 100 30 200 50 b 42 60 d. 58 e 40 O O O O O
Are Republicans more likely than Democrats to display the American flag in front of their residence on the Fourth of July? A simple random sample of 618 Republicans were surveyed and 408 said they display the flag on the Fourth of July. Another simple random sample of 615 Democrats were surveyed and 394 said they display the flag on the Fourth of July. Let p1p1 be the proportion of all Republicans who display the American flag on July 4th and p2p2 be the proportion of all Democrats who display the American flag on July 4th. What can be concluded at the αα = 0.10 level of significance? H0:H0: Select an answer μ p1-p2 μ1-μ2 μd p Select an answer ≠ < > = (please enter a decimal) H1:H1: Select an answer μ p1-p2 μd p μ1-μ2 Select an answer ≠ > = < (Please enter a decimal) The test statistic ? z t = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
Assume that 900 births are randomly selected and 443 of the births are girls. Use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 300 red marbles. She asks her students to determine how many red marbles are in the bag without counting them.A student randomly draws 100 marbles from the bag. Of the 100 marbles, 33 are red.The target population consists of The 100 marbles drawn by the student The 1000 marbles in the bag None of the above The 33 red marbles drawn by the student The 300 red marbles in the bag The sample consists of The 1000 marbles in the bag The 100 marbles drawn by the student The 33 red marbles drawn by the student None of the above The 300 red marbles in the bag Based on the sample, the student would estimate that ------ marbles in the bag were red.
The results of IKEA's Annual Job Satisfaction Survey showed that 30% of employees are very satisfied with their job, 46% are satisfied, 20% are dissatisfied, and 4% are very dissatisfied. A sample of 50 managers yielded the following results: Category Very satisfied Satisfied Dissatisfied Very dissatisfied Number of Respondents 15 20 10 5 Test using a = 1% to determine whether the job satisfaction for employees is different from the job satisfaction for managers.
Q3 i): A survey of 500 randomly chosenindividualsis conducted. The individuals are askedto nametheir faxorite sport. The STATISTIX pie chart inthe following figure summarizesthe results of this survey Other (5.0%)- Hockey (10.0%)- -Baseball (30.0%) Golf (10.0%)- Footbal (25.0%)- -Basketbal (20.0%) Fig. 2-11 STATISTIX pie chart La) How many individuals inthe 500 gave baseball astheirfavorite sport? (b) How mary gave a sport other than basketball as their favorite sport? L) How many gave hockey or golf astheir favorite sport? ii) Thefollowing table gives the frequency distribution for the cholesterol values of 45 patients ina cardiacrehabilitation study. Givethe IgweLandupper class limits and boundaries as well asthe class marks for each class Chalastarol vala Fraquancy 170 to 189 190 to 209 10 210 to 229 17 230 to 249 13 250 to 269
If the sample space is C = C1UC2 and if P(C1) = 0.62 and P(C2) = 0.55, find Q.2. P(C1NC2).
You are to submit 2 real life examples of statistical statements and state if they are biased or unbiased Example: A toothpaste advertisement states that 3 or 4 people prefer their product. This could be a biased survey, one that is not based on a random sample. They could have asked exactly 4 people about their product. An unbiased sample accurately represents the population. Each member of the population is equally to be chosen Example: A person wants to find out how many people prefer chocolate of vanilla ice cream. To get an unbiased sample, she would pick out a few of the ice cream shops in her town and survey people leaving the establishment.
A group of 100 BSSE girls from Riphah were selected to participate in a survey conducted by HEC to assess the satisfaction of students with online studies provided by the university. 48 % of the girls were high scorers while the rest were average scorers. 51 girls showed a lack of satisfaction with the studies including only 9 high scorers. Construct a 2 way cross tabulation and answer the following questions a. If a randomly selected student is an average score what is the probability that she would be satisfied with the studies b. What is the probability that a randomly picked student is a high scorer not satisfied with the studies c. What is the probability that a randomly picked students who is satisfied with the studies is a high-scorer girl
Mm2

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