## Binomial Experiment Analysis in Medical Recovery Rates### OverviewAbout 10% of babies born with a certain ailment recover fully. A hospital is caring for seven babies born with this ailment. The random variable represents the number of babies that recover fully. We will determine whether this scenario qualifies as a binomial experiment, identify a success, specify the values of $ n $, $ p $, and $ q $, and list the possible values of the random variable $ x $.### Determining if the Experiment is Binomial**Is the experiment a binomial experiment?**- [ ] No- [x] Yes### Identifying a Success**What is a success in this experiment?**- [x] Baby recovers- [ ] Baby doesn't recover- [ ] This is not a binomial experiment.### Specifying $ n $**Specify the value of $ n $. Select the correct choice below and fill in any answer boxes in your choice.**- [ ] This is not a binomial experiment.- [x] $ n = \_ $ Answer: $ n = 7 $### Explanation- **Random Variable ($ x $):** The number of babies that recover fully.- **Total Number of Trials ($ n $):** The number of babies being observed (7 babies).- **Probability of Success in a Single Trial ($ p $):** The probability that one baby recovers fully (0.1 or 10%).- **Probability of Failure in a Single Trial ($ q $):** The probability that one baby does not recover fully ( $ q = 1 - p $, thus $ q = 0.9 $).By specifying the value of $ n = 7 $, we confirm that this is a binomial experiment as the conditions of fixed number of trials, only two possible outcomes (success or failure), independence of trials, and constant probability of success are met.

About 10% of babies born with a certain ailment recover fully.A hospital is caring for seven babies…

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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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A group of 50,000 tax forms has an average gross income of $37,000, with an SDof about $20,000. Furthermore, 20% of the forms have a gross income over$50,000. A group of 900 forms is chosen at random for audit. What is the chancethat between 19% and 21% of the forms chosen for audit have gross income over$50,000? (Show the box model and the result of your work.)Answer: __________%
About 40% of babies born with a certain ailment recover fully. A hospital is caring for seven babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x.
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About 60% of babies born with a certain ailment recover fully. A hospital is caring for five babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. What is a success in this experiment? Baby doesn't recover Baby recovers . This is not a binomial experiment. Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice. A. n = 5 B. This is not a binomial experiment. Specify the value of p. Select the correct choice below and fill in any answer boxes in your choice. A. p= 0.60 B. This is not a binomial experiment. Specify the value of q. Select the correct choice below and fill in any answer boxes in your choice. O A. q= OB. This is not a binomial experiment.
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Suppose a certain brand of cereal boxes contain pictures of 3 athletes. 20% of the cereal boxes contained a picture of Russell Wilson, 30% contained David Beckham and the rest contained LeBron James. You are planning on using a simulation to estimate the probability that you end up with a complete set of the three pictures is you buy five boxes of cereal at random. What simulation plan would work for this scenario? Use a random number generator ... assign 0-1 to represent Russell Wilson, 2,3,4 to represent David Beckham, and 5,6,7,8,9 to represent LeBron James. O Use a die .. assign 1-2 to represent Russell Wilson, 3-4 to represent David Beckham, and 5-6 to represent LeBron James. Use a random number generator ... assign 0-20 to represent Russell Wilson, 21-50 to represent David Beckham, and 51-99 to represent LeBron James. O Use a coin ... assign tails to getting a new picture for your collection and heads to getting a picture you already have.
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You are doing research on balance and fitness. To complete this research you will need a watch with a second hand. Identify a random sample of n = 12 men and n = 8 women. You must answer this question: How do you establish that this sample is truly random? Have each subject perform the following task: Have the subjects stand with their hands at their side, raise one knee, cross their ankle over the other knee, squat and bring their hands palms together in front of their chest. Time the subject until they put their foot back down on the floor. b)Ask the following questions: i)How many days per week do they exercise? ii) What is their favorite exercise? You will analyze your data and compute the following statistics for each group: 1) The Mean and standard deviation of the number of seconds the subject stayed balanced 2) The Median number of days per week exercised 3) The Mode of the favorite exercise 4) The 90% confidence interval of the mean 5) Construct a complete…
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