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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A manufacturing company that produces laminate for countertops is interested in studying the relationship between the number of hours of training that an employee receives and the number of defects per countertop produced. Ten employees are randomly selected. The number of hours of training each employee has received is recorded and the number of defects on the most recent countertop produced is determined. The results are as follows. Hours of Training Defects per Countertop 1 5 4 1 7 0 3 3 2 5 2 4 5 1 5 2 1 8 6 2 Copy Data The estimated regression line and the standard error are given. Defects per Countertop=6.717822−1.004950(Hours of Training)se=1.229787se=1.229787 Suppose a new employee has had 5 hours of training. What would be the 90% prediction interval for the number of defects per countertop? Round your answer to two decimal places.
Q16
A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456bchildren randomly assigned the vaccine, 58 got the virus. Of the 1606 children randomly assigned the placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine group, as investigators hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the virus, using a significance level of 0.01.The first few steps of the hypothesis-testing procedure are given. Complete the procedure.
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
Homework 7.2 1. Four students are randomly selected from an algebra class and asked whether they suffer from math anxiety. Find the sample space for the possible outcomes of the survey using a tree diagram.
Does the location of your seat in a classroom play a role in attendance or grade? 1600 students in a physics course were randomly assigned to one of four groups. The 400 students in group 1 sat 0 to 4 meters from the front of the class, the 400 students in group 2 sat 4 to 6.5 meters from the front, the 400 students in group 3 sat 6.5 to 9 meters from the front, and the 400 students in group 4 sat 9 to 12 meters from the front. Complete parts (a) through (c). Click the icon to view the chi-square table of critical values. (a) For the first half of the semester, the attendance for the whole class averaged 83%. So, if there is no effect due to seat location, we would expect 83% of students in each group to attend. The data show the attendance history for each group. How many students in each group attended, on average? Is there a significant difference among the groups in attendance patterns? 3 4 Group Attendance 1 0.84 0.84 0.84 0.80 The number of students who attended in the first…
Which of the following is the domain of a random variable? Choose the correct answer: a. set of whole numbers b. sample space c. set of real numbers d. subset of the outcomes of the experiment
Find tests statitic and p-score.
USE EXCEL to solve this problem. Thanks.
You conduct a study to determine whether men and women have different colour preferences when buying a new car. In a questionnaire, you ask respondents to indicate their sex (male/female) and which of four possible colours they would choose when buying a new car. You collect the following data: Male Female Total White 20 14 34 Blue 13 6 19 Red 10 21 31 Green 22 6 28 Total 65 47 112 You compute the test statistic and the result is 14.16 Test at the .01 level of significance whether this study has provided sufficient evidence that men and women have different colour preferences when buying a new car. (State your conclusion and explain how you arrived at that conclusion.)
Zee TV believes that its viewership is 29%. Random sample of 600 TV is taken. Out of these, only 150 observed zee TV programs. Do you support the belief of Zee TV. Take α= 5%

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