A product designer must decide if a redundant component is cost-justified in a product. The produin question has a critical component with a probability of .98 of operating. Product failure wouldinvolve a cost of $20,000. For a cost of $100, a switch and backup component could be added thatwould automatically transfer the control to the backup component in the event of a failure. Shouldthe backup component be added if its operating probability is also .98?

As per the given question the probability for the switch is not given in the problem so it is safe…

Answered: A product designer must decCide if a…

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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What would happen to the variance of test scores if an instructor multiplies each score by 2? a. It increases by 2 points b. it becomes four times as large c. It stays the same d. it will decrease
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Most Australian youth-sports leagues separate athletes by birthdate, and the cutoff date is January 1st. Thus, those children born in January and February have some physical advantages in youth sports over those born in November and December. A recent studysuggests that those physical advantages enjoyed early in life impact the likelihood of a child becoming a professional athlete. The table gives the number of Australian-born 2009 Australian Football League players born in different months of the year, as well as the proportion of births expected if the birthdates of the athletes matched the distribution of all births nationally. Is there evidence that the distribution of birthdates of AFL athletes is not the same as the distribution of birthdates nationally? Birthdates nationally in Australia and for Australian football players Proportion Actual for Months Nationally AFL players Jan-Mar 0.248 196 Apr-June 0.251 162 Jul-Sep 0.254 137…
To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with larg given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income Itemized Deductions ($1,000s) 22 ($1,000) 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 120 15.7 25.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 10 5 30 25 20 15 10 5+ 30 25- 20- 15- 10- .. 5- 0 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 30 25 20 15 10 5- 0 20 40 60 80 100 Adjusted Gross Income ($1,000s) 120 140 G (b) Use the least squares method to…
To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger th average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income ($1,000s) 22 Itemized Deductions ($1,000s) 9.6 27 9.6 32 10.1 48 11.1 65 11.5 85 120 19.7 23.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 • 10 5 Itemized Deductions ($1,000s) 0 20 40 60 80 100 120 Adjusted Gross Income ($1,000s) 140 30 25 20 15 10 5. Itemized Deductions ($1,000s) 30 25 20 15 10 • 15 • 10 5- 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100…
If a = 1, b 1 = 10, b 2 = 10, X 1 = 2, and X 2 = 3, what would the predicted Y score be?
To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cup of caffeinated drink and another group solve math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.
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