Find the mean survival time

Assignment Help Mathematics
Reference no: EM131054504

(i) Suppose that the survival distribution of a group of patients follows theexponential distribution with G = 0 (year),λ = 0.65. Plot the survivorshipfunction and find:
(a) The mean survival time
(b) The median survival time
(c) The probability of surviving 1.5 years or more

(ii) Suppose that the survival distribution of a group of patients follows theexponential distribution with G = 5 (years) and λ = 0.25. Plot the survivorshipfunction and find:
(a) The mean survival time
(b) The median survival time
(c) The probability of surviving 6 years or more

(iii) Consider the following two we bull distributions as survival models:
(i) G = 0, 1, γ= 0.5
(ii) G = 0, 0.5, γ = 2
For each distribution, plot the survivorship function and the hazardfunction and find:
(a) The mean
(b) The variance
(c) The coefficient of variation

Which distribution gives the larger probability of surviving at least 3 unitsof time?

(iv) Suppose that the survival time follows the lognormal distribution with μ= 1 and σ = 0.5. Find:
(a) The mean survival time
(b) The variance
(c) The coefficient of variation
(d) The median
(e) The mode

Reference no: EM131054504

Questions Cloud

What are ethical implications involved in business decision : Explain how other domestic companies have managed to comply with the U.S. laws related to this business decision in the past. How did these companies address potential compliance issues?
Compute the overall sample mean and sample variance : Compute the overall sample mean, sample variance, and variance of the sample means for each machine.  Determine the probability that a single sample mean is below 500 if the process is operating properly for each machine
Quantum number set : Two electrons that are found in the same atom have different quantum number sets. One of the electrons has the quantum number set (2, 1, -1, + 1/2), and the other has the quantum number set (2, 1, -1, -1/2). They share which one of the following?
Audience research design proposal : You have been commissioned to conduct some audience research by an organisation. Your task is to write up a detailed proposal for the specific research you plan to undertake.the following topic
Find the mean survival time : Suppose that the survival distribution of a group of patients follows theexponential distribution with G = 0 (year),λ = 0.65. Plot the survivorshipfunction and find: The mean survival time and The median survival time
Grams of selenium than chromium : A laboratory has a 2.0-mol sample of pure selenium and a 2.0-mol sample of pure chromium. How many more grams of selenium than chromium does this represent?
Calculate the new volume of the hot gas : A 50 cm3 of a gas in a syringe at 15 degree Celsius is heated to 50 degree Celsius and the Syringe's piston is allowed to move outward against a constant atmospheric pressure. Calculate the new volume of the hot gas.
Is the sec litigation action : Assuming that the facts the SEC alleges are correct in the SEC litigation action you read, do you agree with the SEC's decision to take action against the defendants identified in the release? Was it the right decision? Why or why not?
Develop a simulation model : Develop a simulation model to find the following measures of performance of this booking system: the expected number of rooms used per night and the percentage of nights when more than 100 rooms are claimed

Reviews

Write a Review

Mathematics Questions & Answers

  Comment on kind of relation which appears to exist between

an engineer wanted to determine how the weight of a car affects gas mileages. the following data represent the weight

  How many miles did john travel at the reduce speed

Travelling 260 miles east of a town, John average speed is 60 mph until he came upon an accident site which reduced his speed 20mph. His trip took him 7 hours to complete, how many miles did John travel at the reduce speed.

  Cubic splines- natural and clamped

Cubic Splines: Natural and Clamped, Calculate the natural cubic spline f(x) for the following data and then determine 1(1.5). (Use 3 significant digits.)

  How many students should receive a c

For a class of 43 students, for a certain exam, the mean grade is 67 and the standard deviation is 7, how many students should receive a C?

  What is the equation that represents total monthly earnings

Ally earns $2500 per month plus commission of 7%. Her total monthly earnings (P) is represented by P=2500+.07t where (t) equals total sales for the month. What is the equation that represents total monthly earnings (P) if her commission increases ..

  What relation would e and d satisfy

Suppose that n = pqr is the product of three distinct primes. How would an RSAtype of cryptosystem work in this case? In particular, what relation would e and d satisfy?

  The one that makes the most sense

Which Policy do you think is the one that makes the most sense?  Why do you feel this way?

  In this discussion you will be demonstrating your

in this discussion you will be demonstrating your understanding of compound inequalities and the effect that dividing

  Find the interest paid on a loan

Find the interest paid on a loan of $2000 for 1 year at a simple interest rate of 7% per year. Find the interest paid on a loan of $3946 for 5 months at a simple interest rate of 12% per year

  Draw the digraph of r

Draw the digraph of R. Below are images you can use to create the diagraph. You may copy/paste the arrow and alter the directions and length as needed.

  Formulate the initial-value problem

Formulate the initial-value problem describing the motion of the object under each of the following sets of conditions. Set x equal to the downward displacement from equilbrium.

  Midpoints of any quadrilateral form parallelogram

How can one prove that the 4 midpoints of the four sides of any quadrilateral form the vertices of a parallelogram using graph geometry (ie. x1, y1 etc. to denote the four vertices)?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd