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Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 155575: In Indianapolis, the distance between the conference center and the airport is ten miles, and the distance between the conference center and my hotel is also ten miles.What is the probability that the hotel is closer to theairport than to the conferance center? Please Show all work.: In Indianapolis, the distance between the conference center and the airport is ten miles, and the distance between the conference center and my hotel is also ten miles.What is the probability that the hotel is closer to theairport than to the conferance center? Please Show all work.
Click here to see answer by ilana(208)  |
Question 155523: A fair coin is tossed 5 times. What is the probability of obtaining exactly 3 heads? How do I work this out in steps?: A fair coin is tossed 5 times. What is the probability of obtaining exactly 3 heads? How do I work this out in steps?
Click here to see answer by checkley77(1780) |
Question 155216: A study of Hub Furniture regarding the payment of invoices reveals the time from billing until payment is received follows the normal distribution. The mean time until payment is received is 20 days and the standard deviation is 5 days.
a. What percent of the invoices are paid within 15 days of receipt?
b. What percent of the invoices are paid in more than 28 days?
c. What percent of the invoices are paid in more than 15 days but less than 28 days?
d. The management of Hub Furniture wants to encourage their customers to pay their monthly invoices as soon as possible. Therefore, it announced that a 2 percent reduction in price would be in effect for customers who pay within 7 days of the receipt of the invoice. What percent of customers will earn this discount?
: A study of Hub Furniture regarding the payment of invoices reveals the time from billing until payment is received follows the normal distribution. The mean time until payment is received is 20 days and the standard deviation is 5 days.
a. What percent of the invoices are paid within 15 days of receipt?
b. What percent of the invoices are paid in more than 28 days?
c. What percent of the invoices are paid in more than 15 days but less than 28 days?
d. The management of Hub Furniture wants to encourage their customers to pay their monthly invoices as soon as possible. Therefore, it announced that a 2 percent reduction in price would be in effect for customers who pay within 7 days of the receipt of the invoice. What percent of customers will earn this discount?
Click here to see answer by stanbon(18060) |
Question 155303: . At the start of the 1999 NCAA men’s basketball tournament, 64 teams were invited to compete for the national championship. Below is the number of victories that a sample of 26 of these teams had obtained during the regular season:
32,12,28,22,20,25,22,20,22,22,19,19,26
19,21,23,27,21,21,22,23,27,22,24,26,23
What is the sample mean number of regular season victories?
a. 9.0
b. 12.1
c. 22.6
d. 23.6
: . At the start of the 1999 NCAA men’s basketball tournament, 64 teams were invited to compete for the national championship. Below is the number of victories that a sample of 26 of these teams had obtained during the regular season:
32,12,28,22,20,25,22,20,22,22,19,19,26
19,21,23,27,21,21,22,23,27,22,24,26,23
What is the sample mean number of regular season victories?
a. 9.0
b. 12.1
c. 22.6
d. 23.6
Click here to see answer by stanbon(18060) |
Question 155304: At the start of the 1999 NCAA men’s basketball tournament, 64 teams were invited to compete for the national championship. Below is the number of victories that a sample of 26 of these teams had obtained during the regular season:
32,12,28,22,20,25,22,20,22,22,19,19,26
19,21,23,27,21,21,22,23,27,22,24,26,23
What is the sample median number of regular season victories?
a. 20
b. 21
c. 22
d. 23
: At the start of the 1999 NCAA men’s basketball tournament, 64 teams were invited to compete for the national championship. Below is the number of victories that a sample of 26 of these teams had obtained during the regular season:
32,12,28,22,20,25,22,20,22,22,19,19,26
19,21,23,27,21,21,22,23,27,22,24,26,23
What is the sample median number of regular season victories?
a. 20
b. 21
c. 22
d. 23
Click here to see answer by stanbon(18060) |
Question 155436: The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips.
(a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated?
(b) Why might a driver be tempted not to use a seat belt “just on this trip”?
: The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips.
(a) What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated?
(b) Why might a driver be tempted not to use a seat belt “just on this trip”?
Click here to see answer by stanbon(18060) |
Question 155440This question is from textbook Applied Statistics in Business and Economics
: I have no idea how to solve this for a Simple NOVA can you please help?!
(a) Interprete the slope of the fitted regression Sales = 842 - 37.5 Price
(b) If Price =20, what is the prediction for Sales?
(c) Would the intercept be meaningful if this regression represents DVD sales
at Blockbuster?
This question is from textbook Applied Statistics in Business and Economics
: I have no idea how to solve this for a Simple NOVA can you please help?!
(a) Interprete the slope of the fitted regression Sales = 842 - 37.5 Price
(b) If Price =20, what is the prediction for Sales?
(c) Would the intercept be meaningful if this regression represents DVD sales
at Blockbuster?
Click here to see answer by stanbon(18060) |
Question 155311: Given a normally distributed population, find a 95% confidence interval for the population mean;
sample mean is 119; sample std deviation is 14; sample size is 28
: Given a normally distributed population, find a 95% confidence interval for the population mean;
sample mean is 119; sample std deviation is 14; sample size is 28
Click here to see answer by Fombitz(1275) |
Question 155360: As a sample size approaches infinity, how does the student's t distribution compare to the normal z distribution?: As a sample size approaches infinity, how does the student's t distribution compare to the normal z distribution?
Click here to see answer by Fombitz(1275) |
Question 155365: So we have a normal distribution of test scores. Mean score is 120; std deviation is 20.
What is the z-value of a test score of 160??
What is the probability of selecting a test score from the group.... a test score between 120 and 160??
: So we have a normal distribution of test scores. Mean score is 120; std deviation is 20.
What is the z-value of a test score of 160??
What is the probability of selecting a test score from the group.... a test score between 120 and 160??
Click here to see answer by stanbon(18060) |
Question 155312: A mayoral election race is tightly contested.
In a random sample of 1,100 likely voters, 572 said that they were planning to vote for the current mayor.
Based on this sample, what is your initial hunch?
Would you claim with 95% confidence that the mayor will win a majority of the votes? Explain.
(create the 95% confidence interval... then explain)
: A mayoral election race is tightly contested.
In a random sample of 1,100 likely voters, 572 said that they were planning to vote for the current mayor.
Based on this sample, what is your initial hunch?
Would you claim with 95% confidence that the mayor will win a majority of the votes? Explain.
(create the 95% confidence interval... then explain)
Click here to see answer by jojo14344(379) |
Question 155312: A mayoral election race is tightly contested.
In a random sample of 1,100 likely voters, 572 said that they were planning to vote for the current mayor.
Based on this sample, what is your initial hunch?
Would you claim with 95% confidence that the mayor will win a majority of the votes? Explain.
(create the 95% confidence interval... then explain)
: A mayoral election race is tightly contested.
In a random sample of 1,100 likely voters, 572 said that they were planning to vote for the current mayor.
Based on this sample, what is your initial hunch?
Would you claim with 95% confidence that the mayor will win a majority of the votes? Explain.
(create the 95% confidence interval... then explain)
Click here to see answer by stanbon(18060) |
Question 155313: You are involved in the evaluation of viewership of television shows for your local TV station.
You have been tasked to determine a 95% confidence interval for the viewing of a show called 'CSI Phoenix'.
You have randomly queried 400 local adults and determined that 150 of them watched the last episode of the show.
>> create a 95% confidence interval for the proportion of folks in the population that viewed the show
: You are involved in the evaluation of viewership of television shows for your local TV station.
You have been tasked to determine a 95% confidence interval for the viewing of a show called 'CSI Phoenix'.
You have randomly queried 400 local adults and determined that 150 of them watched the last episode of the show.
>> create a 95% confidence interval for the proportion of folks in the population that viewed the show
Click here to see answer by stanbon(18060) |
Question 155306: The relationship between the empirical rule and a z-score would indicate that any z-score between –2 and 2 will occur about ___________ percent of the time.
a. 99.7
b. 68
c. 34
d. 95
: The relationship between the empirical rule and a z-score would indicate that any z-score between –2 and 2 will occur about ___________ percent of the time.
a. 99.7
b. 68
c. 34
d. 95
Click here to see answer by stanbon(18060) |
Question 155280: given the following raw scores on a standard 10 poing scale. calculate the 95% confidence interval (use the t-score method) the interval is from ___ to___10,8,4,4,6,2,3,2,2,5,3,8,5,7,9,9,6,9,5,4,1,5,4,2,8,: given the following raw scores on a standard 10 poing scale. calculate the 95% confidence interval (use the t-score method) the interval is from ___ to___10,8,4,4,6,2,3,2,2,5,3,8,5,7,9,9,6,9,5,4,1,5,4,2,8,
Click here to see answer by stanbon(18060) |
Question 155279: what is the standard error of the mean
10,8,4,4,6,2,3,2,2,5,3,8,5,7,9,9,6,9,5,4,1,5,4,2,8: what is the standard error of the mean
10,8,4,4,6,2,3,2,2,5,3,8,5,7,9,9,6,9,5,4,1,5,4,2,8
Click here to see answer by stanbon(18060) |
Question 155199: Suppose a frequency table consists of six categories. If all six categories contain the same number of observations, the interior angles of each section of the associated pie chart would be
a. 30 degrees.
b. 45 degrees.
c. 60 degrees.
d. 90 degrees
: Suppose a frequency table consists of six categories. If all six categories contain the same number of observations, the interior angles of each section of the associated pie chart would be
a. 30 degrees.
b. 45 degrees.
c. 60 degrees.
d. 90 degrees
Click here to see answer by stanbon(18060) |
Question 155200: Consider the following frequency table of the performance ratings on a scale of 1–good, 2–fair, and 3–poor, bestowed on their local baseball team by a collection of 100 fans:
Rating -Frequency
1- 20
2- 30
3- 50
The cumulative relative frequencies for each performance rating are
a. 1–20%, 2–30%, 3–50%
b. 1–20%, 2–50%, 3–100%
c. 1–80%, 2–70%, 3–50%
d. 1–50%, 2–30%, 3–20%
: Consider the following frequency table of the performance ratings on a scale of 1–good, 2–fair, and 3–poor, bestowed on their local baseball team by a collection of 100 fans:
Rating -Frequency
1- 20
2- 30
3- 50
The cumulative relative frequencies for each performance rating are
a. 1–20%, 2–30%, 3–50%
b. 1–20%, 2–50%, 3–100%
c. 1–80%, 2–70%, 3–50%
d. 1–50%, 2–30%, 3–20%
Click here to see answer by stanbon(18060) |
Question 154904: Why is it possible that the averagage/ean can be lower then the mode : Why is it possible that the averagage/ean can be lower then the mode
Click here to see answer by oscargut(507)  |
Question 154857This question is from textbook
: Last year, a study showed that the average ATM cash withdrawal took 65 seconds with a standard deviation of 10 seconds. The study is to be repeated this year. How large a sample would be needed to estimate this year's mean with 95 percent confidence and an error of ±4 seconds?This question is from textbook
: Last year, a study showed that the average ATM cash withdrawal took 65 seconds with a standard deviation of 10 seconds. The study is to be repeated this year. How large a sample would be needed to estimate this year's mean with 95 percent confidence and an error of ±4 seconds?
Click here to see answer by Fombitz(1275) |
Question 154838: Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86. a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop. (b) Check the normality assumption. (c) Try the Very Quick Rule. Does it work well here? Why, or why not? (d) Why might this sample not be typical?: Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86. a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop. (b) Check the normality assumption. (c) Try the Very Quick Rule. Does it work well here? Why, or why not? (d) Why might this sample not be typical?
Click here to see answer by stanbon(18060) |
Question 154392: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1- hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) one or the other will fail? Show all steps carefully.
: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1- hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) one or the other will fail? Show all steps carefully.
Click here to see answer by stanbon(18060) |
Question 153724: How many different student body officers are possible if there are four seniors, five juniors, and three sophomores running for the student body offices: senior class president, junior class president, and sophmore class president?: How many different student body officers are possible if there are four seniors, five juniors, and three sophomores running for the student body offices: senior class president, junior class president, and sophmore class president?
Click here to see answer by stanbon(18060) |
Question 153722: How many ways can five students sit in a row of eight chairs for a photograph?: How many ways can five students sit in a row of eight chairs for a photograph?
Click here to see answer by stanbon(18060) |
Question 153720: How many different ways can twelve questions on a true-false test be answered if a student answers every question?: How many different ways can twelve questions on a true-false test be answered if a student answers every question?
Click here to see answer by stanbon(18060) |
Question 153730: Find the probability of drawing a heart or a black card from a standard deck of cards.
: Find the probability of drawing a heart or a black card from a standard deck of cards.
Click here to see answer by checkley77(1780) |
Question 153732: Find the probability of drawing an ace and a jack when two cards are drawn (without replacement) from a standard deck of cards.: Find the probability of drawing an ace and a jack when two cards are drawn (without replacement) from a standard deck of cards.
Click here to see answer by checkley77(1780) |
Question 153735: Find the probability of selecting both red cards when two cards are drawn (without replacement) from a standard deck of cards.: Find the probability of selecting both red cards when two cards are drawn (without replacement) from a standard deck of cards.
Click here to see answer by checkley77(1780) |
Question 153723: How many ways can you order a hamburger if you can order it with or without the following items: cheese, lettuce, tomatoes, pickles or onions?: How many ways can you order a hamburger if you can order it with or without the following items: cheese, lettuce, tomatoes, pickles or onions?
Click here to see answer by Fombitz(1275) |
Question 153725: Find the probability of selecting a green marble from a jar that contains four blue marbles, three red marbles, and five green marbles.
: Find the probability of selecting a green marble from a jar that contains four blue marbles, three red marbles, and five green marbles.
Click here to see answer by Fombitz(1275) |
Question 153736: Find the probability of drawing a heart or a club from a standard deck of cards.: Find the probability of drawing a heart or a club from a standard deck of cards.
Click here to see answer by Fombitz(1275) |
Question 153749: Can someone help me with this?
You roll two fair dice, one red and one green.
a) what is the probability of getting a number less than 5 on both?
b) what is the probability of getting a sum of 9 on the two dice?
c) what is the probability of getting a 5 on both?
thank you
JIll: Can someone help me with this?
You roll two fair dice, one red and one green.
a) what is the probability of getting a number less than 5 on both?
b) what is the probability of getting a sum of 9 on the two dice?
c) what is the probability of getting a 5 on both?
thank you
JIll
Click here to see answer by Fombitz(1275) |
Question 153737: Find the probability of getting a three first and then a four when the die is rolled twice.: Find the probability of getting a three first and then a four when the die is rolled twice.
Click here to see answer by Fombitz(1275) |
Question 153728: Find the probability of rolling a prime number when a die is rolled.: Find the probability of rolling a prime number when a die is rolled.
Click here to see answer by jim_thompson5910(8311) |
Question 153734: Find the odds in favor of rolling the same number on a pair of dice.: Find the odds in favor of rolling the same number on a pair of dice.
Click here to see answer by jim_thompson5910(8311) |
Question 153733: Find the probability of drawing a heart or a face card from a standard deck of cards.: Find the probability of drawing a heart or a face card from a standard deck of cards.
Click here to see answer by Fombitz(1275) |
Question 153491: A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were
3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
a). Construct a 90 percent confidence interval for the true mean weight. (b) What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence? (c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture.: A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were
3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477
a). Construct a 90 percent confidence interval for the true mean weight. (b) What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence? (c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture.
Click here to see answer by Fombitz(1275) |
Question 153494: In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive. (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests. (b) Why is the normality assumption not a problem, despite the very small value of p? : In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive. (a) Construct a 95 percent confidence interval for the population proportion of positive drug tests. (b) Why is the normality assumption not a problem, despite the very small value of p?
Click here to see answer by stanbon(18060) |
Question 153425: Can you please help me with this?
Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of a pain relief drug is normally distributed with mean 2 hours and standard deviation 0.3 hour. For a patient selected at random:
a) what is the probability that the drug will be effective for 2 hours or less?
b) what is the probability that the drug will be effective for 1 hour or less?
c) what is the probability that the drug will be effective for 3 hours or more?
I greatly appreciate all your help.
Julie: Can you please help me with this?
Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of a pain relief drug is normally distributed with mean 2 hours and standard deviation 0.3 hour. For a patient selected at random:
a) what is the probability that the drug will be effective for 2 hours or less?
b) what is the probability that the drug will be effective for 1 hour or less?
c) what is the probability that the drug will be effective for 3 hours or more?
I greatly appreciate all your help.
Julie
Click here to see answer by stanbon(18060) |
Question 153427: Can somone please tell me how to do this i am so confused.
Let X be a random variable that represents the length of time it takes a student to write a term paper for Dr. Adam's Sociology class. After interviewing many students, it was found that X has an approximately normal distribution with mean U = 6.8 hours and standard deviation O=2.1 hours.
Convert each of the following X intervals to standardized Z intervals:
a) x is less than or equal to 7.5
b) 5 is less than or equal to X is less than or equa to 8
c) x is greater than or equal to 4
Convert each of the following z intervals to raw score X intervals
d) z is greater than or equal to -2
e) 0 is less than or equal to Z is less than or equal to 2
f) Z is less than or equal to 3
Thank you for your help in advance
jill: Can somone please tell me how to do this i am so confused.
Let X be a random variable that represents the length of time it takes a student to write a term paper for Dr. Adam's Sociology class. After interviewing many students, it was found that X has an approximately normal distribution with mean U = 6.8 hours and standard deviation O=2.1 hours.
Convert each of the following X intervals to standardized Z intervals:
a) x is less than or equal to 7.5
b) 5 is less than or equal to X is less than or equa to 8
c) x is greater than or equal to 4
Convert each of the following z intervals to raw score X intervals
d) z is greater than or equal to -2
e) 0 is less than or equal to Z is less than or equal to 2
f) Z is less than or equal to 3
Thank you for your help in advance
jill
Click here to see answer by stanbon(18060) |
Question 153265This question is from textbook
: Trevor wants to buy a local restaurant. 60% of the business days it's open, the restaurant makes a $850 profit. Estimate the probability that the store will make p$850 profit more than 17 out of the next 20 business days. If this actually happened, might you suspect that p is greater than 0.60?
High school seniors in SAT math had a mean score of 500 with a standard deviation 100. In an ACT, the mean was 18 and a standard deviation of 6. Both scores are normally distributed.
a) An engineering school only accepts SAT and ACT scores in the top 10%. What's the minimum SAT and ACT scores for this program
b) Suppose the school accepts SAT and ACT scores in the top 20%. What are the minimum SAT and ACT scores for this program?
c) IF the school accepts the top 60% scores, what are the minimum SAT and ACT scores?This question is from textbook
: Trevor wants to buy a local restaurant. 60% of the business days it's open, the restaurant makes a $850 profit. Estimate the probability that the store will make p$850 profit more than 17 out of the next 20 business days. If this actually happened, might you suspect that p is greater than 0.60?
High school seniors in SAT math had a mean score of 500 with a standard deviation 100. In an ACT, the mean was 18 and a standard deviation of 6. Both scores are normally distributed.
a) An engineering school only accepts SAT and ACT scores in the top 10%. What's the minimum SAT and ACT scores for this program
b) Suppose the school accepts SAT and ACT scores in the top 20%. What are the minimum SAT and ACT scores for this program?
c) IF the school accepts the top 60% scores, what are the minimum SAT and ACT scores?
Click here to see answer by stanbon(18060) |
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