The probability that a patient recovers from a code 7197C operation equals 0.7. Suppose we randomly select 50 code 7197C patients and look at recovery from the operation. Let X be the total number of the examined patients who recovered. Do the calculations below using R. a.What type of probability distribution does X have? O negative binomial Poisson normal Bernoulli O geometric O binomial b. What is the probability X = 35? (i.e. exactly 35 patients recover.) c. What is the probability that X ≤ 32? | d. What is the probability that X > 32 e. Using R's qbinom() function calculate the 60th percentile of X ? f. What is the expected value of X? g. What is the variance of X? [ h. What is the standard deviation of X? i. What is the variance of the random variable Y = 4X? j. Place your R Script in the box below.

The probability that a patient recovers from a code 7197C operation equals 0.7. Suppose we randomly select 50 code 7197C patients and look at recovery from the operation. Let X be the total number of the examined patients who recovered. Do the calculations below using R. a.What type of probability distribution does X have? O negative binomial Poisson normal Bernoulli O geometric O binomial b. What is the probability X = 35? (i.e. exactly 35 patients recover.) c. What is the probability that X ≤ 32? | d. What is the probability that X > 32 e. Using R's qbinom() function calculate the 60th percentile of X ? f. What is the expected value of X? g. What is the variance of X? [ h. What is the standard deviation of X? i. What is the variance of the random variable Y = 4X? j. Place your R Script in the box below.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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