Question: Let X be the random variable that represents the number of years a patient with a particular type of cancer survives after receiving radiation therapy.

Let X be the random variable that represents the number of years a patient with a particular type of cancer survives after receiving radiation therapy. Suppose X has an exponential distribution with parameter k. Research indicates that a patient with this type of cancer has an 80% chance of surviving for at least 5 years after radiation therapy begins.

a. Use this information to determine k.

b. What is the probability of a cancer patient surviving at least 10 years after beginning radiation therapy?

Step by Step Solution

★★★★★

3.40 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b PX51PX 5 5 1k... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus With Applications Questions!

An instant lottery ticket costs $2. Out of a total of 10,000 tickets printed for this lottery, 1000 tickets contain a prize of $5 each, 100 tickets have a prize of $10 each, 5 tickets have a prize of...

A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not allow a contractor to be offered more than one of these jobs. If this...

Create a cross functional or basic process map of a process for the following examples: Approx. 10-15 process activities (inclusive of decisions, delays, ete. ) Option to create in Visio or excel...

10/29/2015 Week 6 Assignment YINWEI LIU CED 6030, section 02, Fall 2015 Instructor: He Wang WebAssign Week 6 Assignment (Homework) Current Score : - / 114 Due : Wednesday, November 4 2015 11:59 PM...

Test #2 Review Chapters 8 - 12 These are practice problems to help you prepare for Test #2. If you complete and submit the review on Blackboard by the Sunday before Test #2, I will give you 2 points...

1. A player throws a fair die and simultaneously flips a fair coin. If the coin lands heads, then she wins twice, and if tails, then one-half of the value that appears on the die. Determine her...

Please solve 12. [44.51 Points] BBUNDERSTAT127.4.D19. The US. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random...

Set Student Name: 1. Answer true or false for each part, and if false, explain your answer. a. The point estimate for the population mean, , of an x distribution is x-bar, computed from a random...

1 1. It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that...

answer the question clearly You are building a flight-control system for which a convincing safety case must be made. Would you assign the tasks of safety requirements engineering, test case...

Halleck executed a promissory note payable to the order of Leopold. Halleck did not pay the note when due, and Leopold brought suit on the note, producing it in court. Halleck admitted that he had...

On April 1, 2020, Waleed company entered into a cost-plus fixed-fee contract to construct a power station, estimated to complete in 2 years at a cost of $6,000,000. The fixed fee stipulated in the...

Papa received a distribution of land from hisS corporation in a liquidating distribution. The land had a fair market value of $ 6 7 , 0 0 0 and a basis to the S corporation of $ 3 2 , 0 0 0 . The S...

What degrees does the program offer?

Test for the association between the number of cigarettes smoked per day and RCC among slow acetylators. (Report a two-tailed p-value.) Cancer, Genetics A casecontrol study was performed of...

Answer the question in Problem 10.101 for rapid acetylators. Report a two-tailed p-value? Cancer, Genetics A casecontrol study was performed of renal-cell carcinoma (RCC) (kidney cancer) [25]. The...

Do you think that genetic factors influence the relationship between smoking and RCC based on the preceding data? Why or why not? Cancer, Genetics A casecontrol study was performed of renal-cell...

Meade Nuptial Bakery makes very elaborate wedding cakes to order. The company has an activity-based costing system with three activity cost pools. The activity rate for the Size-Related activity cost...

what is unit output method? with example

need help completing: understanding corporate annual reports a financial analysis project 7th edition. Project is due on 6/9