5. A group of doctors are conducting a clinical trial for an experimental cancer drug. The graph below shows theprobability of patient survival as a function of time, t (in months). The functions for Streated (survival probabilityof patients treated by the drug) and Splacebo (survival probability of patients given a placebo) are determined tobe: Streated (t) = e-(2)" and Splacebo(t) =15te 144.(a)Splacebo(t)the average survival probability ofthe placebo group for the first 10months of the study. Round to 2decimal places.Use the given functione-144 to calculateеStreated-0:8--0:6-Splacebo-0:4-0.21020(b)The efficacy of the drug at any time T 20 can be defined as E(T) = | (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. Roundyour final answer to 2 decimal places.(c)the first T months). Is the drug beneficial at 10 months? (A short one-sentence answer is enough.)A drug is beneficial if E(T) > 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

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Answered: 5. A group of doctors are conducting a…

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...

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4 Let f(x) = (1/10)(x-3)^2 for x = 1, 2, 3, 4, 5 %3D Find the standard deviation of X. For the instructor, this was question 11. / 1.8 X 3.1 X 3.4 X 3.5 X 9.4 X 12.4
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A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin (CBG) of patients during treatment. With age = x and ACBG = y, summary values are n = 26, Ex; = 1620, 2(x₁ - x)² = 3756.96, y₁ = 281.9, (y₁ - y)² = 465.34, and Ex,y; = 16,733. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test Ho: p = -0.5 versus H₂: P < -0.5 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = State the conclusion in the problem context. O Reject Ho. There is no evidence that p < -0.5. O Fail to reject Ho. There is evidence that p < -0.5. O Reject Ho. There is evidence that p < -0.5. O Fail to reject Ho. There is no evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change of cortisol-binding globulin level could be explained by…
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