Engineers observe that about 90% of graphite samples fracture within 5 hours when subjected to a certain stress. (a) If the time to fracture is modeled with an exponential distribution, what would be a suitable value for the parameter λ? (b) Use the model to estimate the probability that a fracture occurs within 3 hours.
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- Explain the method of fitting of an exponential curves of the form (i) Y = abX and (ii)Y= aebx to the given data.2A technology specialist studied the relationship between time spent on social media and age. One observation found that a 50-year-old person spends 2 hour per week on social media. A second observation showed that a 25-year-old person spends 12 hours per week on social media. Assuming time spent per week on social media 7 (in hr) is a linear function of age a (in yr), find a linear model of this event. TH x Use the model to find the age (in yr) of a person who spends 10 hours per week on social media. 30 уг
- An individual has been exercising at a local gym for about 10 years. He always begins with a 10- to 15-minute session on the treadmill at a speed of 3.7 mph. During a 12-day period in 2010, he recorded his heart rate before using the treadmill and after 5 minutes of use. The data are shown in Table 8.37 (image attached). The subject also recorded his heart rate at baseline and 5 minutes after starting the treadmill exercise (at a speed of 2.5 mph) in 2000. The data are shown in Table 8.38 (image attached). Implement a test to compare the baseline heart rate initially (2000) and after 10 years of experience (2010), and report a two-sided p value.Suppose the probability x(z) of reaching a target (such as getting a ball between goal posts) as a function of distance x (in metres) from the target is well-fitted by a logistic regression equation with log(r(z)/1 - (z)) = 6.4 - 0.13z Please answer below to 3 significant digits. Part a) For this prediction model, what is the probability of reaching the target from a distance of 35 metres. Part b) At what distance is the probability of reaching the target equal to 0.6?A assessment.education.wiley.com/was/ui/v2/assessment-player/index.html?launchld3D42c58b0d-9f3 e L 15: Invertibility & Intro to Logarithms uestion 8 of 22 urrent Attempt in Progress Let P = f(t) = 9e0.02t give the population in millions at time t in years. Find and interpret f-'(P). f(P) = This gives Choose one▼ 9 21 tv F2 F1 F3 F4 F5 F6 F7 F8 @ # $ & 1 2 4 7 8. Q W R Y
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