Question
Asked Jan 27, 2020
465 views

2. Assume a cardiovascular surgeon has implanted 13 pacemakers in his patients from a new batch of pacemakers that have been found to have a defect that causes them to stop working. If each pacemaker has a 23.47% chance that it will work, what is the probability that all the patients’ pacemakers will work the way they are supposed to?
A) 6.556e-9
B) .0527
C) .4730
D) .5270

 

check_circle

Expert Answer

Step 1

Binomial distribution:

The binomial distribution gives the probability of number of successes out of n trials in a series of Bernoulli trials. The probability mass function (pmf) of a binomial random variable X is given as:

Statistics homework question answer, step 1, image 1
fullscreen
Step 2

Calculation:

It is given that 13 pacemakers are implemented for the patients and each pacemaker has a 23.47% probability that it will work. The random variable X denotes that the number of pacemakers t...

Statistics homework question answer, step 2, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you
question_answer

Q: In the section we introduced a descriptive measure of the utility of the multiple linear regression ...

A: (a)Justification:Coefficient of multiple determination:The coefficient of multiple determination is ...

question_answer

Q: Replacement Why does the bootstrap method require sampling with replacement? What would happen if we...

A: For a simple random sample with size n, a bootstrap sample is another random sample of n values obta...

question_answer

Q: Airline passengers arrive randomly and independently at the passenger screening facility at a major ...

A: Given dataMean arrival rate µ = 9 passengers per minuteProbability density function of poisson distr...

question_answer

Q: Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesi...

A: The null and the alternative hypotheses are,H0: σ≤32.2 (The standard deviation of new production met...

question_answer

Q: In each of Exercises, we have provided a null hypothesis and alternative hypothesis and a sample fro...

A: Given that,

question_answer

Q: Discuss the basic strategy for comparing the means of two populations based on a simple random paire...

A: Explain the basic strategy for comparing the means of the two populations based on a simple random p...

question_answer

Q: Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesi...

A: The null and the alternative hypotheses are,H0: σ≥1.8 (The standard deviation of the new single wait...

question_answer

Q: What happens to the power of a hypothesis test if the significance level is decreased without changi...

A: Solution: It is required to mention what happens to the power of a hypothesis test if the significan...

question_answer

Q: In Exercises, hypothesis tests are proposed. For each hypothesis test, a.identify the variable.b.ide...

A: Given that,         An Arizona State University professor, R. Jacobowitz, Ph.D., in consultation wit...

question_answer

Q: Conclusions True or false: In hypothesis testing, it is never valid to form a conclusion of supporti...

A: Click to see the answer

question_answer

Q: Which interval is wider: (a) the 95% confidence interval for the conditional mean of the response va...

A: Justification:Confidence interval:

question_answer

Q: State whether each of the following is true or false and explain your answer. a. The estimate of the...

A: a.The estimate of the mean of the response variable for a given set of predictor variables is same a...

question_answer

Q: Low Birth Weight The University of Maryland Medical Center considers “low birth weights” to be those...

A: a)The random variable x represents the birth weights.The formula to convert the x value into Z score...

question_answer

Q: The estimated regression equation for a model involving two independent variables and 10 observation...

A: Interpretation of B1:The coefficient or slope of x1 in the regression model is 0.2795.The interpreta...

question_answer

Q: The boxplot below shows salaries for Construction workers and Teachers. Construction Teacher 20 25 3...

A: In general boxplot shows five number summary, which are minimum, first quartile, median, third quart...

question_answer

Q: In each of Exercises, suppose that you want to perform a hypothesis test for a population mean. Assu...

A: For testing population mean:If sample size is small and the population is normally distributed then ...

question_answer

Q: Bakery Products. TheMill Avenue Bakery packages its products in three sizes: one-half-pound, one-pou...

A: "Hi! Thank you for the question! Since the question contains four subparts and we are allowed to aut...

question_answer

Q: Testing Hypotheses. In Exercises 13–24, assume that a simple random sample has been selected and tes...

A: Test statistics for one sample t:The test statistic formula for the one sample t test is,

question_answer

Q: Finding P-values. In Exercises 5–8, either use technology to find the P-value or use Table A-3 to fi...

A: Given info: The claim is that for Version data speeds at airports with the mean 14 mbps, the sample ...

question_answer

Q: Which interval is wider: (a) the 95% confidence interval for the conditional mean of the response va...

A: Confidence interval:The (1–α)% confidence interval for the conditional mean at given set of values o...

question_answer

Q: Curving Test Scores A professor gives a test and the scores are normally distributed with a mean of ...

A: Note:Hey there! Thank you for posting the question. However, since your question has more than 3 sub...

question_answer

Q: Poisson Probability Distribution The random variable x represents the number of phone calls the auth...

A: Consider,X be a discrete random variable that shows the number of phone calls the author receives in...

question_answer

Q: Question 9 parts E, F, and G.

A: (e) Treatment: In the Experimental design, the treatments are treated as independent variables which...

question_answer

Q: In each of Exercises, we have presented a confidence interval (CI) for the difference, µ1 - µ2, betw...

A: The 99% confidence interval is from –20 to 15.

question_answer

Q: Standard Normal Distribution. In Exercises 17–36, assume that a randomly selected subject is given a...

A: Consider X be a normal random variable which indicates bone density test scores. The test scores are...

question_answer

Q: 1. Assuming the below results were obtained in a study used to test the accuracy of the rapid diagno...

A: The sensitivity is obtained as follows:

question_answer

Q: Today, the waves are crashing onto the beach every 4.8 seconds. The times from when a person arrives...

A: Hello there! the given question have more than 3 sub parts. According to our policies cannot answer ...

question_answer

Q: Regarding multiple linear regression analysis: a. What sum of squares is made as small as possible w...

A: (a)Justification:Method of least squares:

question_answer

Q: A data set with whole numbers has a low value of 20 and a high value of 82.Find the class width for ...

A: It is provided that the lowest values is the highest value is 82.The class width is obtained as foll...

question_answer

Q: The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/20 whe...

A: The distribution in this case:Here, the random variable X (time that takes for the next train to com...

question_answer

Q: Exercises pertain to P-values for a one-mean t-test. For each exercise, do the following tasks. a.Us...

A: a)For left tailed test

question_answer

Q: What distributional assumption must be met in order to use the Wilcoxon signed-rank test?

A: Solution: It is required to mention the distributional assumption that must be met in order to use t...

question_answer

Q: Using a Formula to Describe a Sampling Distribution requires the construction of a table that descri...

A: The sample proportions of x are 0, 0.5 and 1.

question_answer

Q: Suppose x1 and x2 are predictor variables for a response variable y. a. The distribution of all poss...

A: (a)Justification:The predictor variables x1 and x2 may take several values. For each set of values t...

question_answer

Q: Advertising and Sales. Use the technology of your choice to do the following. a. Obtain the scatterp...

A: Note:Hey there! Thank you for posting the question. However, since your question has more than 3 sub...

question_answer

Q: In each of Exercises, we have presented a confidence interval (CI) for the difference, µ1 - µ2, betw...

A: The 99% confidence interval is from –10 to 5. 

question_answer

Q: Regarding the test of significance for the usefulness of the predictor variables x1, x2, and x3 in p...

A: Regression sum of squares:The regression sum of squares in multiple linear regression is the section...

question_answer

Q: Purse Snatching. The Federal Bureau of Investigation (FBI) compiles information on robbery and prope...

A: Click to see the answer

question_answer

Q: You are manager of a specialty coffee shop and collect data throughout a full day regarding waiting ...

A: a) A right skewed distribution would be most desirable because this would mean there are a lot of sh...

question_answer

Q: Sampling with Replacement The Orangetown Medical Research Center randomly selects 100 births in the ...

A: The 100 births are randomly selected and the proportion of boys is recorded. Also, the birth rates a...

question_answer

Q: In the section we introduced a descriptive measure of the utility of the multiple linear regression ...

A: a.Coefficient of multiple determination:

question_answer

Q: Infant Mortality Rate. A social scientist wants to predict the infant mortality rate in cities in th...

A: a)Predictor variable:Predictor variable in a regression is the independent variable, which explains ...

question_answer

Q: In each of Exercises, we have provided a null hypothesis and alternative hypothesis and a sample fro...

A: Click to see the answer

question_answer

Q: Cans of Coke: Confidence Interval  If we use the data given in Exercise 1, we get this 95% confidenc...

A: The 95% confidence interval for the new filling process is 0.1846 oz. < σ < 0.4900 oz.

question_answer

Q: Lightning Deaths Refer to the sample data in Cumulative Review Exercise 1. a. What is the level of m...

A: In this case, Cumulative review Exercise 1 is considered as follows:

question_answer

Q: Suppose that, for two populations, the distributions of the variable under consideration have the sa...

A: Requirements for a pooled t-test:The samples must be independent and drawn randomly from normally di...

question_answer

Q: Small Sample Weights of golden retriever dogs are normally distributed. Samples of weights of golden...

A: Sampling distribution of the sample mean:If the true population distribution of a random variable, s...

question_answer

Q: Suppose you shuffle a deck of cards and set it down on the table. (c) What is the probability that t...

A: Click to see the answer

question_answer

Q: Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesi...

A: Click to see the answer

question_answer

Q: Unbiased Estimators Data Set 4 “Births” in Appendix B includes birth weights of 400 babies. If we co...

A: The data represents the birth weights of 400 babies.The statistics sample mean, sample variance and ...