The probability that a patient recovers from a code 7197C operation equals 0.7. Suppose we randomly select 50 code 7197C patientsand look at recovery from the operation. Let X be the total number of the examined patients who recovered. Do the calculationsbelow using R.a.What type of probability distribution does X have?O negative binomialPoissonnormalBernoulliO geometricO binomialb. 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 > 32e. 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.

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Answered: The probability that a patient recovers…

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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It needs to be written like so for example A U B U C
A professor knows that her statistics students' final exam scores have a mean of 80 and a standard deviation of 12.2. In her class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?Hint: You will need to use your knowledge of normal probability distributions to determine the probability of one individual getting an A and then use your knowledge of binomial distributions to determine the probability of 7 students or more out of 25 students getting an A.prob = ____________Report your final answer accurate to 4 decimal places. Do not round any of the numbers in this calculation until the very end of the problem!
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Tom the cat patrols the house in search of the mouse Jerry, who wants to get into the kitchen for something to eat. After leaving the kitchen, Tom will return after a random amount of time, which follows an exponential distribution with mean 20 seconds. Suppose Jerry needs 10 seconds to get across the house, and starts 5 second after Tom leaves the kitchen. What is the probability that Jerry the mouse will get caught?
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The number of students who fail per semester is often modeled as a Poisson random variable. Assume that on the average there are 5 students who fail per sem. d. If exponential distribution can model this system, what is the probability that there will be no failing students right after midterm? Let X denote the time in semesters from the start of the interval until the first failure and that a semester is divided by midterm period. e. Calculate the probability that there will be a failing student within the first semester. F. Calculate the probability that a failing student will be first spotted after midterm up to end of the first semester?

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