A laboratory technician is to be tested on identifying blood types from 8 standard classifications. Complete parts (A) and (B) below.(A) If 3 distinct samples are chosen at random from the 8 types and if the technician is not allowed to repeat any answers, what is the probability that all 3 could be correctly identified byjust guessing?Let the sample space S be the set of ways that the 3 distinct samples can be chosen from the 8 standard classifications. The number of elements in the sample space S is n(S) =(Type a whole number.)n example. Get more help.804OODR%5TA6AMacBook Air.F6Y7EEEEF7U*8➤11AaF8-9▶F9O0Clear allF10PF11Final checkEHR Imm+91

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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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Suppose the proportion of the people who are married in the population is about 0.54 and consider the following experiment in which a researcher chooses at random 5 people from the population with replacement, recording each individual's marital status. Let the random variable, y, denote the number of people chosen who are married. Please answer the following: How many ways are there to draw exactly 3 married people in this experiment? On average, how many married individuals would be chosen? What is the probability of selecting one or fewer married people in this experment?
In order to conduct an experiment, 5 subjects are randomly selected from a group of 43 subjects. How many different groups of 5 subjects are possible.
A random sample of 100 women is selected and their average salary is $65,123. What conclusion can you make?
What is assigned randomly?
Suppose you rolled a fair six-sided die a few times and recorded the results. (You would have a collection of numbers 1-6.) Now, suppose you wanted to average these numbers. What value would you expect? If the die was rolled 6 times and the results were: 1, 4, 2, 2, 3, 2, then the average of this sample of rolls would be 2.333. This experiment could be peformed again: 6, 5, 2, 1, 1, 4. Now, the average of this sample is 3.167. Obviously, these small samples have a lot of variation in them; however, is there a way to calculate the expected average? If we were to construct a very large sample, rolling this die 1 million times, what would the expected value (mean) be? Luckily, the rules of probability allows us to do this calculation without actually having to roll the die 1 million times! Below, you will find a probability table where all of the possible outcomes from the die are listed. The first column contains the possible outcomes on the die, the second column contains the…
A researcher takes a sample of 50 individuals and administers a background check to identify the number of prior arrests for each person. For whatever reason, one person is removed from the analysis and another random person is selected to replace that person. Having no additional information, what is your best guess of the number of prior arrests experienced by the replacement person? Why?
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
According to an article in a recently published medical journal, one-third of all sets of triplets consist of all females, one-fourth are all male sets, and the remaining sets are of mixed gender. A simple random sample of 78 sets of triplets born in the past 20 years is obtained from hospital records. The results are presented below. Gender make-up of triplets 1: All female 2: All male 3: Mixed gender Total 10 11 57 78 What would be the null hypothesis for a chi-square test for testing if the claim made in the medical journal is indeed true? Group of answer choices H0: p1 = 1/3, p2 = 1/4, and p3 = 5/12, where p1, p2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively H0: p1 = p2 = p3 = 5/12, where p1, p2, and p3 represent the proportions of all female, all male, and mixed gender triplets, respectively H0: p1 = 1/4, p2 = 1/4, and p3 = 5/12, where p1, p2, and p3 represent the proportions of all…
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 9 2 5 4 6 6 2 7 6 10 8 8 9 7 9 9 9 9 10 9 10 10 10 9 9 10 6 8 10 5 7 10 9 5 9 6 9 860 4 3 6 2 7 10 7 9 9 9 Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places. 9
SWIMMER’S FLEXIBILITY STUDY Swimming requires complete body movement as defined in sports science. A swimmer’s flexibility helps in his/her movement in water, thus making him/her a faster swimmer. In a study conducted to determine if there is an improvement in swim speed after doing flexibility exercise, 15 swimmers of the same characteristics were randomly selected. They were asked to do a 25-m freestyle and their swim speed (in seconds) were recorded. After this, a flexibility exercise was done. All the swimmers were then asked to do another 25-m freestyle and their swim speed (in seconds) were also recorded. The data collected are given below and can also be found in the worksheet “swim_speed”of excel file “exer3_data.xlsx”. R outputs can be found in the file “exer3_outputs.pdf”.(Use before – after in your computations Swimmer 1 2 3 4 5 6 7 8 Before 16.87 19.42 20.04 22.82 24.24 17.76 23.91 17.17 After 15.82 18.47 20.43 21.76 23.88 18.12 20.96 16.03 Swimmer 9 10 11 12…
How many simple random samples of 12 elements can be taken from a population containing 67 elements?

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