The lifetime, X, of a particular integrated circuit has an exponential distribution with rate of λ=0.5 per year. Thus, the density of X is:f(x,x) = 1 e-^x for 0 ≤ x ≤ ∞o, λ = 0.5. λ is what R calls rate.Hint: This is a problem involving the exponential distribution. Knowing the parameter for the distribution allows you to easily answerparts a,b,c and use the built-in R functions for the exponential distribution (dexp(), pexp(), qexp()) for other parts. Or (notrecommended) you should be able to use the R integrate command with f(x) defined as above or with dexp() for all parts.d) What is the probability that X is greater than its expected value?e) What is the probability that X is > 5?f) What is the probability that X is> 10?g) What is the probability that X > 10 given that X > 5?h) What is the median of X?Please solution USING R script

Given rate=0.5 X~exp(rate=0.5) Note: According to Bartleby guidelines expert solve only one…

Answered: The lifetime, X, of a particular…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

(22) Let X = b(6, find E(5+6x) and distribution function.
Find the average rate of change for the graph on given interval
If W denotes the weight (in pounds) of an individual and t denotes time (in weeks), then dW/dt is the rate of weight gain or loss (in lb/wk). Suppose that a person weighed 220 pounds 10 weeks ago, and now weighs 198 pounds. Using the Mean Value Theorem, show that their rate of rate loss must have exceeded 2 lb/wk at some point during this 10 week period.
O [30] The precision of drone's GPS is limited with the speed of the drone. The height derivation y from its original height is a function of speed h: f(h) = ah + b (1) where a and b are constant parameters depending on the drone. If the drone's speed has a uniform distribution between 20kph and 30kph. What is the expected derivation of height? y = yükseklik, h = hız %3D
QUESTION 3 Find the value of ⁄ for which the average value of f(x)=3x²-8x+3 on the interval [0,b] equals 0. Show all work/step b For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Arial 10nt == > にく A V
X has PDF f(x) = #/2 if0
Find the average rate of change of the given function between the following pairs of x-values. [Hint: See pages 95-96.] f(x) = 4x² + 6x - 5 (a) x = 2 and x = 4 (b) (c) (d) x = 2 and x = = 3 X = 2 and x = 2.5 x = 2 and x = 2.1 (e) x = 2 and x = 2.01 (f) What number do your answers seem to be approaching?
Suppose that a continuous income stream has an annual rate of flow f(t) = 500e−0.02t2 (in thousands of dollars per year). Use Simpson's Rule with n = 4 to approximate the total income (in dollars) from this stream over the next 4 years. (Round your answer to the nearest dollar.)
Find the rate at which the total average number of COVID cases is increasing at x=15 tents and dxdt=1 tent per day, Given that if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding.NOTE: DO NOT USE PIECEWISE FUNCTION
Compute the upper and lower limits for the following data at a 95% CI, when M1 = 20, M2 = 15, t = 2.145 (this is the t-value you would get from the table), and S(M1-M2) = 1.34.
just 1a)
Show that the average rate of change of the linear function f(x) = a over any interval say [x1,x2] is the constant a. %3D

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS