The article "Probabilistic failure evaluation of riveted railroad bridges" suggests the exponential model with mean value of 5 MPa as a model for the distribution of stress in certain bridge connections 1) Find the probability that the stress range is at most 11 MPa 2) Find the probability the stress range is between 7 and 11 MPa
Added by Eugenia M.
Step 1
Plugging in x = 11, we get 1 - e^(-11/5) = 1 - e^(-2.2) ≈ 0.8891968. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Rashmi Sinha and 86 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The article "Probabilistic Fatigue Evaluation of Riveted Railway Bridges" (J. of Bridge Eng., 2008: 237-244) suggested the exponential distribution with a mean value of 6 MPa as a model for the distribution of stress range in certain bridge connections. Let's assume that this is, in fact, the true model. Then E(x) = 1/λ = 6 implies that λ = 0.1667. Find: a) the probability that the stress range is at most 10 MPa, b) between 5 and 10 MPa, c) the median (50th percentile).
Madhur L.
'1) Consider a steel rod under pure tension loading: The rod will fail if the applied stress on the rod cross-sectional area exceeds the steel yield stress. The yield stress R of the rod and the loading stress On the rod S are assumed to be uncertain and modeled by uncorrelated normal distributed variables_ The mean values and the standard deviations of the yield strength and the loading are given aS HR 350 MPa, OR 35 MPa and Hs 200 MPa, Os 40 MPa respectively. Calculate the safety index 8 and the probability of failure pc:'
Adi S.
The probabilities of various numbers of failures in a mechanical test are as follows: Pr[0 failures] = 0.21, Pr[1 failure] = 0.43, Pr[2 failures] = 0.28, Pr[3 failures] = 0.08, Pr[more than 3 failures] = 0. (a) Show this probability function as a graph. (a) Sketch a graph of the corresponding cumulative distribution function. (b) What is the expected number of failures—that is, the mathematical expectation of the number of failures?
David N.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD