Answered: Estimate the 5-year survival…

Math

Statistics

Estimate the 5-year survival probability for Type II diabetes.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Textbook prices have a seasonal structure on Ebay. At the end of a term, the supply of used books outstrips demand, and the price is lower. Near the start of a term, many students are looking for books, and the price is higher. Suppose we can classify sales for a particular chemistry textbook into these two time periods and an "other" time period in the proportions shown below. We have also listed the average price the textbook sells for in each of these three time periods Start of Term End of Term Other Sales Proportion Average Price 0.43 0.31 0.26 97.97 49.93 73.83 For example, about 45% of Ebay auctions for this chemistry textbook occur at the start of the term and the books sell for an average of $82.52 during this time. Using the information above, compute the average price of the textbook over all seasons. (Do not put a dollar sign in your answer). Round your answer to two decimals. Average Price over all seasons = $
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Survival Analysis: An observational study is conducted to compare the survival experience of individuals with brain cancer following treatment. Participants undergo treatment and are followed until the time of recurrence, until they are lost to follow-up or up to 40 weeks, whichever comes first. The following table details the experiences of participants undergoing radiotherapy alone or radiotherapy and surgery. The data below are week to recurrence or week of last contact. Using the Kaplan-Meier approach, what is the Survival Probability at the end of 34 weeks for surgery/radiotherapy? (Hi nt: set up a table for Surgery/radiotherapy including columns for time (week), Nt, Dt, Ct, and St+1) Radiotherapy Alone Weeks to Surgery/Radiotherapy Weeks to Week of Last Contact (no recurrence) Week of Last Contact (no Irecurrence recurrence recurrence) 10 3 2 2. 4 6 14 10 21 5 23 29 8 32 34
Survival Analysis: An observational study is conducted to compare the survival experience of individuals with brain cancer following treatment. Participants undergo treatment and are followed until the time of recurrence, until they are lost to follow-up or up to 40 weeks, whichever comes first. The following table details the experiences of participants undergoing radiotherapy alone or radiotherapy and surgery. The data below are week to recurrence or week of last contact. Using the Kaplan-Meier approach, what is the Survival Probability at the end of 8 weeks for radiotherapy alone? (Hint: set up a table for radiotherapy including columns for time (week), Nt, Dt, Ct, and St+1) Radiotherapy Alone Weeks to Surgery/Radiotherapy Weeks to Week of Last Contact (no recurrence) Week of Last Contact (no recurrence recurrence recurrence) 3 2 10 2. 4. 14 2 5 10 21 5 23 29 8 32 34
.A new, miracle diabetes drug that diminishes major symptoms of diabetes has been approved by the FDA. Health care professionals and researchers believe that the new drug will prolong lifespan of diabetes patients. If the population is in steady state and the incidence is constant, what will the effect of this new drug be on the prevalence of diabetes in the population? Explain.
1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
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Subject:applied statistics and probability for engineers
Life rating in Greece - Greece faced a severe economic crisis since the end of 2009. Suppose a Gallup poll surveyed 1010 randomly sampled Greeks in 2011 and found that 273 of them said they would rate their lives poorly enough to be considered "suffering." Round all answers to four decimal places. 1. What is the population parameter of interest? A. The 273 Greeks in the sample who believed they were suffering. B. The actual proportion of Greeks who said they were suffering in 2011. C. All the people who lived in Greece in 2011. D. The score on the survey that corresponds to suffering. 2. What is the value of the point estimate of this parameter? 3. Use the sample information from 2011 to construct a 95% confidence interval for the proportion of Greeks in 2011 who said they were "suffering."
Question The data below represents the number of 50kg bags of maize produced by 100 small scale farmers in the 2019/21 farming season:40 41 42 44 45 46 46 46 47 47 47 47 48 48 49 50 50 50 51 5152 52 52 52 52 52 53 53 53 53 53 53 54 54 54 55 55 55 55 5656 56 56 56 57 57 57 57 57 57 57 57 57 57 57 58 58 58 58 5858 58 59 59 59 59 60 60 60 60 61 61 61 61 61 62 62 62 63 6363 63 64 64 64 65 65 66 66 67 67 67 67 68 68 69 70 71 72 74 d) Determine the mean, the mode, the median, the variance, the standard deviation, and the coefficient of skewness for grouped data. Interpret correctly these numbers.
5. A pressure transducer regulates a climate control system in a factory. The transducer fails according to an exponential distribution with rate one failure every five years on average. a. What is the cumulative distribution function of the time until failure? b. What is the probability that a transducer chosen at random functions for eight years without failure? irteen Reliability and Maintainability c. What is the probability that a transducer that has functioned for eight years con- tinues to function for another eight years?
Computer upgrades have a nominal time of 80 minutes. Samples of five observations each have been taken, and the results are as listed. SAMPLE 1 2 3 4 5 6 79.2 80.5 79.6 78.9 80.5 79.7 78.8 78.7 79.6 79.4 79.6 80.6 80.0 81.0 80.4 79.7 80.4 80.5 78.4 80.4 80.3 79.4 80.8 80.0 81.0 80.1 80.8 80.6 78.8 81.1 Factors for three-sigma control limits for x⎯⎯x¯ and R charts FACTORS FOR R CHARTS Number of Observations in Subgroup,n Factor for x⎯⎯x¯ Chart,A2 LowerControl Limit,D3 UpperControl Limit,D4 2 1.88 0 3.27 3 1.02 0 2.57 4 0.73 0 2.28 5 0.58 0 2.11 6 0.48 0 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 9 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72 13 0.25 0.31 1.69 14 0.24 0.33 1.67 15 0.22 0.35 1.65 16 0.21 0.36 1.64 17 0.20 0.38 1.62 18 0.19 0.39 1.61 19 0.19 0.40 1.60 20 0.18 0.41 1.59 a. Using factors from above table, determine upper and lower…