Please answer letters c. d. and e. only. The average lifespan of XYZ's phones is 6years. Each phone lifespan is exponentiallydistributed.a. Find the rate parameter.b. Graph the probability density function.c. How likely is it that a cellphone will fail in4 years?d. How long will a cellphone last more than11 years?e. How likely is it that the cellphone willendure 5-8 years?

Answered: Image /qna-images/answer/90313a7f-5a30-413f-a465-82b90846a61d.jpg

Answered: The average lifespan of XYZ's phones is…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 69E

See similar textbooks

Similar questions

The life (in years) of a laptop battery has a probability density function defined by P(x)=12e−x/2 for x in [0,∞). Find the probability that a randomly selected laptop battery will last between 2 and 5 years?
The likelihood of a certain brand of tires wearing out is represented by the followingfunction.f(x) = (a · xekx , if x 00 , otherwisewhere x is in thousands of miles. Note that f is not an exponential function.1. Choose a, in terms of k, so that f is a probability density function.
From the density below the probability that X is at least 0.34 is what?
The table below shows an incomplete probability density function for X , the number of imperfections per batch of jeans that just came off a production line. What should the missing probability be? Provide the final answer as a decimal. x P(X = x) 0 0.88 1 0 2
suppose x has an exponential distribution with probability density function f(x) =2e^-2x, x>0. Then P(X>1)
A lamp has a lightbulb with an average lifetime of 4 hours. The probability density function for the lifetime of a bulb is f(t)=14e−t/4,t≥0.What is the probability that the bulb will fail within 5 hours?
The probability density function of X, the lifetime of a certain device in months, is given by f(x)=6/(x^2) if x > 6 and f(x) = 0 if x < 6. Find P(X > 50). Also, what is the cumulative distribution function of X on x > 6?
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 thickness of a wooden shelf in mm, has probability density function f(x) = {0.75 – 0.75 (x – 5)2} : for 4</= x </ =6 and 0 otherwise Plot the graph of the function above
Suppose that the unknown X is ≥ 2 and has the probability density function fX(x)=Ce^−x,x ≥ 2.What is the numerical value of C?

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS