If we sample from a small finite population without replacement, the binomial distribution should not beused because the events are not independent. If sampling is done without replacement and the outcomesbelong to one of two types, we can use the hypergeometric distribution. If a population has A objects of onetype, while the remaining B objects are of the other type, and if n objects are sampled without replacement,then the probability of getting x objects of type A and n – x objects of type B under the hypergeometricdistribution is given by the following formula. In a lottery game, a bettor selects five numbers from 1 to 54(without repetition), and a winning five-number combination is later randomly selected. Find theprobabilities of getting exactly three winning numbers with one ticket. (Hint: Use A = 5, B = 49, n 5, andx= 3.)A!B!(A + B)!P(x) =(A - x)!x! (B-n + x)!(n – x)! (A +B-n)!n!%3DP(3) =(Round to four decimal places as needed.)

Answered: Image /qna-images/answer/410dd874-e1d1-44da-b133-feaf5f8839d5.jpg

Answered: If we sample from a small finite…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Similar questions

Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:
Suppose that we have disjoint normal populations A and B with equal population variances. Suppose we plan a sample of size 4 from from population A and a sample of size 9 from population B which we will pool to form the pooled variance. If you know the population variances are both in fact equal to 6, what is the probability that the pooled variance of the two samples will turn out to be less than 8 given your information?
There are a thousand men in a cohort for which prostate cancer prevalence is 2.2%.The test we're using for prostate cancer has a sensitivity of 0.6 (gets the diagnosis right 60% of the time if a patient has prostate cancer) specificity of 0.95 (gets the diagnosis right 95% of the time if a patient does not have prostate cancer) Fill in the tree with the correct number of patients in each cell, and give the probability that a man actually has prostate cancer, given a positive test result.Probability =
The inferential statistics is used to compare the sample sets and estimate the probability that they belong to truly different populations as opposed to be different just due to a random chance. P-value is the outcome of a statistical calculation. P stands for probability. The 'p-value' always between 0 and 1. The p-value of 0 means that an event never occurs, and p-value of 1 means that an event occurs always. In biomedical scinces, a p-value of 0.05 or less is usually considered significant (meaning the differences in the data are likely not due to chance, the sample(s) are not from the same population, and the observed differences are likely real). Value: 1 The p value of 0.03 indicates significant difference in biomedical sciences. True False Check Answer Tails is a statistical parameter that used in statistical significance testing. There are one-tailed and two-tailed options for statistical test. The one-tailed option is used when the hypothesis predicts not only difference…
A system consists of four parts that work independently of each other. Working probabilities of these parts are given as 0.9 , 0.8 , 0.7 and 0.6, respectively. If the random variable X is defined as the total number of parts working in this system, calculate the probabilities P {X>0}, P {X=2} , the expected value and the variance.
Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 40% Hispanic. 4.8 JURORS ARE EXPECTED TO BE HISPANIC. The select process produces a jury with 3 Hispanic individuals, meaning that 25% of the jury is Hispanic. Using the binomial distribution we find that the probability that 3 or fewer jurors would be Hispanic is 0.2253. Create a graph of the distribution with the area corresponding to the previous information. Use Statistics to make an argument to the court on behalf of your client. Explain why random sampling in this situation of juror selection relates the expected sample proportion to the population proportion.Compare the expected value to the actual sample proportion.
Suppose we have a bucket of 20 balls with 10 red and 10 green. We take 5 draws and after each draw, we remove the chosen ball from the bucket before our next draw (this is called drawing without replacement). Can we use the binomial distribution to model this scenario? Why or why not?
2 A random sample of size 12 drawn from a population of size 200. The sample values and their probabilities are (52,0.004), (72,0.003), (64,0.005), (58,0.003), (42,0.002), (76,0.006), (71,0.006), (63,0.006), (87,0.008), (57,0.002), (61,0.003) and (86,0.007). Estimate population total with a 95% confidence interval by using probability proportional to size sampling.
(7) If the probability of a student graduating is 0.95, find the probability that more than 472 students students graduating among 500 students. (8) If the probability of a student receiving financial aid is 0.72, find the mean and variance of the number of students receiving financial aid among 40000 students. (9) There are 300 questions on a multiple choice exam. For each question there are 5 choices to choose from, and there is only one correct choice for each question. Find the mean (expected value) and variance for the number of questions you answer correctly by making random guess.
A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 138 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 38%. 1. How are the collection of all sample proportions of samples of size 138 distributed? NO 2. What is the probability that fewer than 34% of the patients studied survived for at least 5 years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a survived for at least 5 years. 3. What is the probability that more than 45% of the patients studied survived for at least 5 years? chance that fewer than 34% of the patients studied o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. O There is a survived for at least 5 years. chance that more than…
A random sample statistic will have a probability distribution that is its sampling distribution True False
Anita's, a fast-food chain specializing in hot dogs and garlic fries, can monitor how many customers at its restaurants want to eat (in addition to ordering takeout) to decide whether or not to build a location to play in the city. . Including the presence of Sammy the mascot in local locations, stores and franchises, Anita reports that 45% of her customers order food for delivery. If this ratio is true, what is the probability that a random sample of 3 of Anita's 4 customers will order food? Round your response to at least three decimal places. (If necessary, consult a list of formulas.)

Recommended textbooks for you

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS