The process of simulating the races to estimate the required probability.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 19, Problem CS

To determine

To explain: The process of simulating the races to estimate the required probability.

Expert Solution & Answer

Answer to Problem CS

Solution: To obtain a string of 35 successive races where at least 30 times one of the inner position is allocated, thousand one-digit random numbers from 1 to 9 are chosen from the random number table and record how many times the number 1, 2, and 3 are occurring in a row for 1000 times.

Explanation of Solution

There are nine horses in the race and the probability of getting one of the three inside position is one-in-three. Each races is independent, that is, the outcome of one race does not affect the other. To simulate 1000 races, first numbers are assigned to the outcome of each race.

As each race has nine horses, there must be nine outcomes possible for each race. The horses are labeled as 1,2,⋯,9. The horse that is numbered as the same number of the chosen random number will indicate the outcome of one race. The random number table is used to obtain to choose the random number.

As the probability of getting one of the inside positions is 1/3, it can be decided that if the outcome of the race is the random number 1, 2, and 3, then the race will get one of the three inner positions. Thousand one-digit random numbers from 1 to 9 are chosen from the random number table. Record how many times the number 1, 2, and 3 are occurred in a row. Repeat the process 1000 times to obtain a string of 35 successive races where at least 30 times one of the inner position is allocated.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

In order to find probability, you can use this formula in Microsoft Excel: The best way to understand and solve these problems is by first drawing a bell curve and marking key points such as x, the mean, and the areas of interest. Once marked on the bell curve, figure out what calculations are needed to find the area of interest. =NORM.DIST(x, Mean, Standard Dev., TRUE). When the question mentions “greater than” you may have to subtract your answer from 1. When the question mentions “between (two values)”, you need to do separate calculation for both values and then subtract their results to get the answer. 1. Compute the probability of a value between 44.0 and 55.0. (The question requires finding probability value between 44 and 55. Solve it in 3 steps. In the first step, use the above formula and x = 44, calculate probability value. In the second step repeat the first step with the only difference that x=55. In the third step, subtract the answer of the first part from the…

If a uniform distribution is defined over the interval from 6 to 10, then answer the followings: What is the mean of this uniform distribution? Show that the probability of any value between 6 and 10 is equal to 1.0 Find the probability of a value more than 7. Find the probability of a value between 7 and 9. The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be: More than $27? Less than or equal to $24? The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches. What is the mean amount of rainfall for the month? What is the probability of less than an inch of rain for the month? What is the probability of exactly 1.00 inch of rain? What is the probability of more than 1.50 inches of rain for the month? The best way to solve this problem is begin by creating a chart. Clearly mark the range, identifying the lower and upper…

Problem 1: The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of 40 per hour and a standard deviation of 3.00 per hour. What is the probability that the hourly pay of a randomly selected flight attendant is: Between the mean and $45 per hour? More than $45 per hour? Less than $32 per hour? Problem 2: The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds. What is the area between 415 pounds and the mean of 400 pounds? What is the area between the mean and 395 pounds? What is the probability of randomly selecting a value less than 395 pounds? Problem 3: In New York State, the mean salary for high school teachers in 2022 was 81,410 with a standard deviation of 9,500. Only Alaska’s mean salary was higher. Assume New York’s state salaries follow a normal distribution. What percent of New York State high school teachers earn between 70,000 and 75,000? What percent of New York State high school…

Answer 2

Question

Chapter 19, Problem CS

To determine

To explain: The process of simulating the races to estimate the required probability.

Expert Solution & Answer

Answer to Problem CS

Solution: To obtain a string of 35 successive races where at least 30 times one of the inner position is allocated, thousand one-digit random numbers from 1 to 9 are chosen from the random number table and record how many times the number 1, 2, and 3 are occurring in a row for 1000 times.

Explanation of Solution

There are nine horses in the race and the probability of getting one of the three inside position is one-in-three. Each races is independent, that is, the outcome of one race does not affect the other. To simulate 1000 races, first numbers are assigned to the outcome of each race.

As each race has nine horses, there must be nine outcomes possible for each race. The horses are labeled as 1,2,⋯,9. The horse that is numbered as the same number of the chosen random number will indicate the outcome of one race. The random number table is used to obtain to choose the random number.

As the probability of getting one of the inside positions is 1/3, it can be decided that if the outcome of the race is the random number 1, 2, and 3, then the race will get one of the three inner positions. Thousand one-digit random numbers from 1 to 9 are chosen from the random number table. Record how many times the number 1, 2, and 3 are occurred in a row. Repeat the process 1000 times to obtain a string of 35 successive races where at least 30 times one of the inner position is allocated.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 19, Problem CS

To determine

To explain: The process of simulating the races to estimate the required probability.

Expert Solution & Answer

Answer to Problem CS

Solution: To obtain a string of 35 successive races where at least 30 times one of the inner position is allocated, thousand one-digit random numbers from 1 to 9 are chosen from the random number table and record how many times the number 1, 2, and 3 are occurring in a row for 1000 times.

Explanation of Solution

There are nine horses in the race and the probability of getting one of the three inside position is one-in-three. Each races is independent, that is, the outcome of one race does not affect the other. To simulate 1000 races, first numbers are assigned to the outcome of each race.

As each race has nine horses, there must be nine outcomes possible for each race. The horses are labeled as 1,2,⋯,9. The horse that is numbered as the same number of the chosen random number will indicate the outcome of one race. The random number table is used to obtain to choose the random number.

As the probability of getting one of the inside positions is 1/3, it can be decided that if the outcome of the race is the random number 1, 2, and 3, then the race will get one of the three inner positions. Thousand one-digit random numbers from 1 to 9 are chosen from the random number table. Record how many times the number 1, 2, and 3 are occurred in a row. Repeat the process 1000 times to obtain a string of 35 successive races where at least 30 times one of the inner position is allocated.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 19, Problem CS

To determine

To explain: The process of simulating the races to estimate the required probability.

Expert Solution & Answer

Answer to Problem CS

Solution: To obtain a string of 35 successive races where at least 30 times one of the inner position is allocated, thousand one-digit random numbers from 1 to 9 are chosen from the random number table and record how many times the number 1, 2, and 3 are occurring in a row for 1000 times.

Explanation of Solution

There are nine horses in the race and the probability of getting one of the three inside position is one-in-three. Each races is independent, that is, the outcome of one race does not affect the other. To simulate 1000 races, first numbers are assigned to the outcome of each race.

As each race has nine horses, there must be nine outcomes possible for each race. The horses are labeled as 1,2,⋯,9. The horse that is numbered as the same number of the chosen random number will indicate the outcome of one race. The random number table is used to obtain to choose the random number.

As the probability of getting one of the inside positions is 1/3, it can be decided that if the outcome of the race is the random number 1, 2, and 3, then the race will get one of the three inner positions. Thousand one-digit random numbers from 1 to 9 are chosen from the random number table. Record how many times the number 1, 2, and 3 are occurred in a row. Repeat the process 1000 times to obtain a string of 35 successive races where at least 30 times one of the inner position is allocated.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 19, Problem CS

To determine

To explain: The process of simulating the races to estimate the required probability.

Expert Solution & Answer

Answer to Problem CS

Solution: To obtain a string of 35 successive races where at least 30 times one of the inner position is allocated, thousand one-digit random numbers from 1 to 9 are chosen from the random number table and record how many times the number 1, 2, and 3 are occurring in a row for 1000 times.

Explanation of Solution

There are nine horses in the race and the probability of getting one of the three inside position is one-in-three. Each races is independent, that is, the outcome of one race does not affect the other. To simulate 1000 races, first numbers are assigned to the outcome of each race.

As each race has nine horses, there must be nine outcomes possible for each race. The horses are labeled as 1,2,⋯,9. The horse that is numbered as the same number of the chosen random number will indicate the outcome of one race. The random number table is used to obtain to choose the random number.

As the probability of getting one of the inside positions is 1/3, it can be decided that if the outcome of the race is the random number 1, 2, and 3, then the race will get one of the three inner positions. Thousand one-digit random numbers from 1 to 9 are chosen from the random number table. Record how many times the number 1, 2, and 3 are occurred in a row. Repeat the process 1000 times to obtain a string of 35 successive races where at least 30 times one of the inner position is allocated.

Answer 6

Chapter 19, Problem CS

To determine

To explain: The process of simulating the races to estimate the required probability.

Expert Solution & Answer

Answer to Problem CS

Solution: To obtain a string of 35 successive races where at least 30 times one of the inner position is allocated, thousand one-digit random numbers from 1 to 9 are chosen from the random number table and record how many times the number 1, 2, and 3 are occurring in a row for 1000 times.

Explanation of Solution

There are nine horses in the race and the probability of getting one of the three inside position is one-in-three. Each races is independent, that is, the outcome of one race does not affect the other. To simulate 1000 races, first numbers are assigned to the outcome of each race.

As each race has nine horses, there must be nine outcomes possible for each race. The horses are labeled as 1,2,⋯,9. The horse that is numbered as the same number of the chosen random number will indicate the outcome of one race. The random number table is used to obtain to choose the random number.

As the probability of getting one of the inside positions is 1/3, it can be decided that if the outcome of the race is the random number 1, 2, and 3, then the race will get one of the three inner positions. Thousand one-digit random numbers from 1 to 9 are chosen from the random number table. Record how many times the number 1, 2, and 3 are occurred in a row. Repeat the process 1000 times to obtain a string of 35 successive races where at least 30 times one of the inner position is allocated.

Answer 7

Chapter 19, Problem CS

To determine

To explain: The process of simulating the races to estimate the required probability.

Answer 8

Expert Solution & Answer

Answer to Problem CS

Solution: To obtain a string of 35 successive races where at least 30 times one of the inner position is allocated, thousand one-digit random numbers from 1 to 9 are chosen from the random number table and record how many times the number 1, 2, and 3 are occurring in a row for 1000 times.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

There are nine horses in the race and the probability of getting one of the three inside position is one-in-three. Each races is independent, that is, the outcome of one race does not affect the other. To simulate 1000 races, first numbers are assigned to the outcome of each race.

As each race has nine horses, there must be nine outcomes possible for each race. The horses are labeled as 1,2,⋯,9. The horse that is numbered as the same number of the chosen random number will indicate the outcome of one race. The random number table is used to obtain to choose the random number.

As the probability of getting one of the inside positions is 1/3, it can be decided that if the outcome of the race is the random number 1, 2, and 3, then the race will get one of the three inner positions. Thousand one-digit random numbers from 1 to 9 are chosen from the random number table. Record how many times the number 1, 2, and 3 are occurred in a row. Repeat the process 1000 times to obtain a string of 35 successive races where at least 30 times one of the inner position is allocated.