Please help with question 2.6 ,thanks (a) What is the of within a period?The for a isand determine the probarnonth of its operation.(b) What is the design life if a reliability of 0.95 is aThe time-to-failure density function (PDF) for a system 1f(t) = 0.012.30StS 100 days%3Dpu(a) R(t)(b) The hazard rate function(c) The MTTF(d) The standard deviation(e) The median time to failureDEESES IMILELECvra2.4The failure distribution is defined by3t20Sts 1000 hr%3D60-(b) Compute the MTTF.(c) Find the design life for a reliability of 0.99.2.5 For R(t)10Vo.001t= e(a) Compute the reliability for a 50-hr mission.(b) Show that the hazard rate is decreasing..0マ?HEEL 20Given a 10-hr burn-in period, compute the reliability for a 50-hr mission.(a) What is the design life for a reliability of 0.95 given a 10-hr burn-in?CPS* The PDF for the time to failure in years of the drive train on a Regional TransitAuthority bus is given by2.6At) = 0.2 – 0.02t 0t<10 yr(a) Show that the hazard rate function is increasing, indicating continuous wear outover time.(b) Find the MTTF.(c) Find the median time to failure.(d) Find the mode of the failure distribution.(e) Compute the standard deviation.EXEUCIZE22.7 A Company manufactures gizmos for use on widgets. The time to failure, in years, ofthese gizmos has the following PDF:= (?)f(t + 10)³for t 2 0 ds bni%3D(P) De

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The PDF for the time to failure in years of the Authority bus is given by 5 algmx duadsefl At) = 0.2 – 0.02t 0t<10 yr %3D (a) Show that the hazard rate function is increasing, indicating continuous wea over time. (b) Find the MTTF. (c) Find the median time to failure. (d) Find the mode of the failure distribution. 232D

The PDF for the time to failure in years of the Authority bus is given by 5 algmx duadsefl At) = 0.2 – 0.02t 0t<10 yr %3D (a) Show that the hazard rate function is increasing, indicating continuous wea over time. (b) Find the MTTF. (c) Find the median time to failure. (d) Find the mode of the failure distribution. 232D

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
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