The U.S. government has devoted considerable funding to missile de-fense research over the past 20 years. The latest development is theSpace-Based Infrared System (SBIRS), which uses saltellite imagery todetect and track missiles (Chance, Summer 2005). The probability ofan intruding object (e.g., a missile) will be detected on a flight trackby SBIRS is 0.8. Consider a sample of 15 simulated tracks, each withan intruding object. Let X equal the number of these tracks on whichSBIRS detects the object.(a) Demonstrate that X is (approximately) a binomial random vari-able(b) Give the value of p and n for the binomial distribution.(c) Find P(X = 8), the probability that SBIRS will detect the objecton exactly 8 tracks.

Answered: The U.S. government has devoted…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question 5: give the hypotheses.
QUESTION 6 ANZ Bank's Wealth Management Division conducted a survey of the value of the new business created over the last month in millions of dollars. From 23 responses, the mean and standard deviation were found to be $1.741 and $0.989 million respectively. Assuming the data were collected through a random sample and that the value of new business is approximately normally distributed, calculate a 95% confidence interval estimate of the average value of new business per month in millions of dollars. State only the upper bound correct to three decimal places.
Question 17: as we do not know if the actual average is higher and lower than 40,000, we will do a two-tailed test at the 5% significance level. Give the hypotheses.
Question 22: give the rejection region.
In the article “The Eastern Cottonmouth (Agkistrodon piscivorus) at the Northern Edge of Its Range” (Journal of Herpetology, Vol. 29, No. 3, pp. 391–398), Blem and Blem examined the reproductive characteristics of the eastern cottonmouth, a once widely distributed snake whose numbers have decreased recently due to encroachment by humans. A simple random sample of 44 female cottonmouths yielded a sample mean of ??̅ = 7.6 young per litter. Assume σ = 2.4. a. Is the sample mean likely to equal μ exactly? Explain your answer b. Find the 95% Confidence Interval. c. How large a sample would be needed to get at 99% confidence interval with a margin of error of just 0.1?
Question 2 The city of Chicago decides to understand whether its citizens consume more alcohol during the summer period. As a baseline, the average person consumes 0.7L of alcoholic beverages in each week outside the summertime. In June of a given year, they collected a simple random survey of 28 people and estimated an average per capita consumption of 0.95L per week. Moreover, they estimated a sample variance of 0.85L² a) State the null and alternative hypothesis of the test. b) Compute the relevant test statistic. Show all steps. c) The researchers conducting this assessment decide to restrict the type 1 error to 10%. Find the critical value(s) for the test and justify your answer. d) Find the p-value for the test. Explain your answer. Draw a graph with a representation of the p-value with the relevant values in the test. e) Conclude the test.
QUESTION 22 An insurance company proposes two health insurance plans for the employees of a local company. Plan A is the basic plan and covers only the medication expenses in case of hospitalization, whereas Plan B reimburses all medical expenses of the employees. As a human ressources manager, you are required to estimate how many employees will opt for Plan B. The manager randomly asks 200 employees and 117 of them prefer Plan B. Find the upper confidence limite (UCL) of the 98% confidence interval estimate for the proportion of employees who will prefer Plan B. Round your answer to three decimal places.
Question #8
Question 21 A random sample of size 373 results in 126 successes. Build a 95% CI for the population proportion of successes. Round to three decimals. Submit Question MacBook
46% of all statistics classes require an advanced calculator and 38% require the use of a computer that has statistical software. Of the classes that require an advanced calculator, 18% also require the use of a computer. If a statistics course is selected at random find A. P(Advanced Calculator) = [ Select ] ["0.57", "0.38", "0.18", "0.46"] B. P(Statistical Software) = [ Select ] ["0.38", "0.57", "0.46", "0.18"] C. P(Require an Advanced Calculator and Statistical Software) = [ Select ] ["0.1259", "0.1748", "0.0828", "0.8335"] D. P(Require an Advanced Calculator GIVEN Require Statistical Software) = [ Select ] ["0.3515", "0.18", "0.2184", "0.9716"]
QUESTION 4 The Pinelands Perks Coffee Shop at Pinelands General Hospital recently monitored its late morning customer counts. A random sample of counts on randomly selected days yielded the following number of pre-lunch but definitely post breakfast customers: 24 25 29 30 38 38 39 41 42 43 43 44 52 53 57 60 After computing the most democratic measures of center and spread for this data collection, preferably using technology to minimize manual calculations, and rounding off to the nearest whole unit if necessary, complete the following statement: On average, the Pinelands Perks Coffee Shop serves exactly [#1] customers daily just prior to lunch, give or take approximately [#2] customers. report your answer precisely, including only the numerical value without unit or labels. #1=? #2=?
As a project site civil engineer, you will evaluate the production and process of the concrete producers. You will find that whether the concrete is too watery or not. From the data, the contract specification state that the slump for the concrete used should be 1 inch, with a 90% level of confidence(hint: this is redundant given). So, we will take 10 random samples of fresh concrete and measure the slump. Data: 0.95 1.21 1.03 1.10 1.01 0.99 0.89 0.97 1.01 0.99 Test the hypothesis that mean concrete is different from 1 inch at 10% or 0.10 level of significance. HINT: t-test: two-tailed test. Specify and Use 6 steps method.

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