6. [2] A manufacturer guarantees a product for 1 year. The lifespan of the product after it is sold isgiven by the probability density function below, where t is time in months.f(t) =(0.01e-0.012t ift 20otherwiseWhat is the probability that a buyer chosen at random will have a product failure:a) During the warranty? Round answer to three decimal places.b) During the second year after purchase? Round answer to three decimal places.

Given Data: Let us consider the probability function is given by: ft=0.01e-0.012t,t≥00,otherwise (a)…

Answered: 6. [2] A manufacturer guarantees a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

The graph to the right is the uniform probability density function for a friend who is x minutes late (a) Find the probability that the friend is between 5 and 25 minutes late (b) it is 10 AM. There is a 30% probability the friend will arrive within how many minutes? (a) The probability that the friend is between 5 and 25 minutes late is (Type an integer or a decimal Round to three decimal places as needed.) (b) There is a 30% probability the friend will arrive within minutes (Type a whole number) Ang 100 10 20 30x Tem
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter a = 0.01437. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100m at most 200m between 100 and 200 m (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations? (Round your answer to four decimal places.) (c) What is the value of the median distance? (Round your answer to two decimal places.)
Prob-2 The diameter of metal cylinder has a probability density function of f(x)=1.5-6(x-50.0)² [mm] 500 metal cylinders delivered to engine assembely plant... How many cylinders' diameters, D< 50.0 mm ? Sol:
x- 5 for 5
Directions: The amount of time required to serve a customer at a bank has an exponential density function with mean 4 minutes. 1. Find the probability that a customer is served in less than 3 minutes. Probability = 2. Find the probability that serving a customer will require more than 6 minutes. Probability =
Suppose lifetime of a particular type of old mobile, ?, can be modelled by the probability density function............ Answer follow image:
By the end of 2021, the percentage, ?, of the population (expressed in decimals) that will be vaccinated is given by the density function a. Find ?. b. Find the cdf ?(?) and use it to evaluate the probability that 30% to 60% will be vaccinated at the end of the year. Please answer this step by step and justify your answer.
The life X (in hours) of a battery in constant use is an arbitrary variable with exponential density. What is the probability that the battery will last more than 28 hours if the average life is 8 hours? (Give your answer to four decimal places.) P≈
A company uses wood chips in the manufacture of processed wood pieces of various sizes. Suppose the tons of wood chips T used per day has a probability density function f(T) = 0.25e-0.25T (a) Find the probability of using more than 4 tons of wood chips in a day. (Round your answer to three decimal places.) (b) Find the number of tons 7 (to the nearest ton) so that the probability of using more than 7 tons in a day is 0.07. tons
Please i needs these two. Help me
Let X denote the distance (m) that an animal moves from its birth site to the first territorial vacancy it encounters. Suppose that for banner-tailed kangaroo rats, X has an exponential distribution with parameter å = 0.01417. (a) What is the probability that the distance is at most 100 m? At most 200 m? Between 100 and 200 m? (Round your answers to four decimal places.) at most 100 m at most 200 m between 100 and 200 m (b) What is the probability that distance exceeds the mean distance by more than 2 standard deviations? (Round your answer to four decimal places.) (c) What is the value of the median distance? (Round your answer to two decimal places.)
1 Given the probability density function f(x) = over the interval [3,6], find the expected value, the mean, 3 the variance and the standard deviation. Expected value: Mean: Variance: Standard Deviation: > Next Question

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS