Homework Help is Here – Start Your Trial Now!
Math
Probability
5. A group of doctors are conducting a clinical trial for an experimental cancer drug. The graph below shows the probability of patient survival as a function of time, t (in months). The functions for Streated (survival probability of patients treated by the drug) and Splacebo (survival probability of patients given a placebo) are determined to be: Streated (t) = e-() and Splacebo (t) = e #. Use the given function (a) Splacebo (t) = e-i to calculate the average survival probability of the placebo group for the first 10 months of the study. Round to 2 decimal places. 08 -0.6 -0:4 -0국 10 20 (b) The efficacy of the drug at any time 7 > 0 can be defined as E(7) = (Streated(t) – Splacebo (t)) dt. Note: This can be thought of as representing a difference of areas. Use a Riemann sum with 5 sub-intervals of equal width to approximate E(10). Use right endpoints. Round your final answer to 2 decimal places. (c) the first 7 months). Is the drug beneficial at 10 months? (A short one-sentence answer is enough.) A drug is beneficial if E(7) > 0 (meaning treated subjects have a larger average survival time over (d) Is the drug beneficial at T = 20? Explain in 1 or 2 sen sentences. Survival probability

5. A group of doctors are conducting a clinical trial for an experimental cancer drug. The graph below shows the probability of patient survival as a function of time, t (in months). The functions for Streated (survival probability of patients treated by the drug) and Splacebo (survival probability of patients given a placebo) are determined to be: Streated (t) = e-() and Splacebo (t) = e #. Use the given function (a) Splacebo (t) = e-i to calculate the average survival probability of the placebo group for the first 10 months of the study. Round to 2 decimal places. 08 -0.6 -0:4 -0국 10 20 (b) The efficacy of the drug at any time 7 > 0 can be defined as E(7) = (Streated(t) – Splacebo (t)) dt. Note: This can be thought of as representing a difference of areas. Use a Riemann sum with 5 sub-intervals of equal width to approximate E(10). Use right endpoints. Round your final answer to 2 decimal places. (c) the first 7 months). Is the drug beneficial at 10 months? (A short one-sentence answer is enough.) A drug is beneficial if E(7) > 0 (meaning treated subjects have a larger average survival time over (d) Is the drug beneficial at T = 20? Explain in 1 or 2 sen sentences. Survival probability

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
See similar textbooks
icon
Related questions
Question
5. A group of doctors are conducting a clinical trial for an experimental cancer drug. The graph below shows the probability of patient survival as a function of time, t (in months). The functions for Streated (survival probability of patients treated by the drug) and Splacebo (survival probability of patients given a placebo) are determined to be: Streated(t) = e-() and Splacebo (t) = e #. Use the given function (a) Splacebo (t) = e-i to calculate the average survival probability of the placebo group for the first 10 months of the study. Round to 2 decimal places. Ste 0. -0.6 -0:4 -02 10 20 (b) The efficacy of the drug at any time 7 >0 can be defined as E(7) = (Streated(t) – Splacebo (t)) dt. Note: This can be thought of as representing a difference of areas. Use a Riemann sum with 5 sub-intervals of equal width to approximate E(10). Use right endpoints. Round your final answer to 2 decimal places. (c) the first 7 months). Is the drug beneficial at 10 months? (A short one-sentence answer is enough.) A drug is beneficial if E(7) > 0 (meaning treated subjects have a larger average survival time over (d) Is the drug beneficial at T = 20? Explain in 1 or 2 sentences. Survival probability
Transcribed Image Text:5. A group of doctors are conducting a clinical trial for an experimental cancer drug. The graph below shows the probability of patient survival as a function of time, t (in months). The functions for Streated (survival probability of patients treated by the drug) and Splacebo (survival probability of patients given a placebo) are determined to be: Streated(t) = e-() and Splacebo (t) = e #. Use the given function (a) Splacebo (t) = e-i to calculate the average survival probability of the placebo group for the first 10 months of the study. Round to 2 decimal places. Ste 0. -0.6 -0:4 -02 10 20 (b) The efficacy of the drug at any time 7 >0 can be defined as E(7) = (Streated(t) – Splacebo (t)) dt. Note: This can be thought of as representing a difference of areas. Use a Riemann sum with 5 sub-intervals of equal width to approximate E(10). Use right endpoints. Round your final answer to 2 decimal places. (c) the first 7 months). Is the drug beneficial at 10 months? (A short one-sentence answer is enough.) A drug is beneficial if E(7) > 0 (meaning treated subjects have a larger average survival time over (d) Is the drug beneficial at T = 20? Explain in 1 or 2 sentences. Survival probability
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS