Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 454511: Help Please!
On any given day the probability that a certain gas station will run out of gas is 1/10.
a) What is the probability the gas station will run out of gas one day in the next two weeks?
b) What is the probability the gas station will run out of gas at least two days in the next two weeks?
c) What is the expected number of times the gas station will run out of gas in the next two weeks?
Click here to see answer by stanbon(75887)  |
Question 454885: The following information represents a study of age and quality of medical care received by 1000 patients. Submit your answers to the following questions.
Diagnostic Test Performed
YES NO
Under 65 years 321 124
AGE
65 or older 365 190
Are age and test performed independent events?
Are age and test performed mutually exclusive events?
Click here to see answer by stanbon(75887) |
Question 454906: An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate data on twelve recent campaigns, including the cost of each campaign (denoted by x, in millions of dollars) and the resulting percentage increase in sales (denoted by y) following the campaign, were presented by the firm. The least-squares regression line for these data has a slope of approximately 0.16.
Campaign cost(x)
1.56
2.31
3.88
2.93
2.14
3.21
1.78
1.28
3.80
3.01
3.51
2.04
percentage increase in sales (y)
6.63
6.67
6.97
6.64
6.74
6.44
6.26
6.38
6.71
6.88
6.85
6.43
What is the value of the y-intercept of the least-squares regression line for these data?
What is the value of the sample correlation for these data?
I need a lot of help here. I don't have a cue how to solve this. Can someone show me the step to solving these type of math problem because I having ben trying hard to do them, but I keeep getting them wrong on the quizzes we had this week. Got a major test Monday in school. Please help!
Click here to see answer by stanbon(75887) |
Question 454934: Suppose we want to determine the (binomial) probability (p) of getting 0 (zero) heads in 5 flips of a coin. Using Table 2 in Appendix B of the text, what values of n, x, and p would we use to look up this probability, and what would be the probability?
Table 2 states
n=5 x=0
0.01 0.05 0.10 0.20 0.30 0.40 0.50 0.60 0.70
.951 .774 .590 .328 .168 .078 .031 .010 .002
Click here to see answer by edjones(8007)  |
Question 454919: When playing bingo, 75 balls are placed in a bin and balls are selected at random. Each ball is marked with a letter and number as indicated by the following chart.
Playing Bingo When playing bingo, 75 balls are placed in a bin and balls are selected at random. Each ball is marked with a letter and number as indicated in the following chart.
B I N G O
1-15 16-30 31-45 46-60 61-75
For example, there are balls marked B1, B2, up to B15; I16, I17, up to I30; and so on. Now, assuming one bingo ball is selected at random, determine
42.
the probability that it does not contain the letter G.
Click here to see answer by edjones(8007) |
Question 454965: Three socks are selected, one at a time from a clothes drawer containing 6 black, 6 brown and 6 green socks. Let x represent the number of brown socks selected in 3 selections from the drawer.
(A) if this experiment is completed without replacing the socks each time, explain why x is not a binomial random variable.
(B) if this experiment is completed with replacement of the socks each time, explain why x is a binomial random variable
Click here to see answer by stanbon(75887) |
Question 454926: A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless attempt to predict performance in college from performance on this test. We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from 0 to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test and y denoting the first-year college grade point average. The least-squares regression line for these data is y-hat = 1.1372 + 0.0015x.
Standardized test score (x)
910
1350
1490
1300
1060
930
1490
1020
1240
1000
840
1110
1400
790
1200
Grade point average (y)
2.65
3.66
3.51
2.97
3.11
2.25
2.92
3.05
3.29
2.18
2.22
2.40
2.98
2.39
2.72
1. For these data, standardized test scores that are greater than the mean of the standardized test scores tend to be paired with grade point averages that are ------- the mean of the grade point average.
Greater than or Less than
I selected greater than
2. According to the regression equation for an increase of one point in standardized test score, there is a corresponding -------- of 0.0015 point in grade point average.
Increase or decrease
I selected increase
3. From the regression equation, what is the predicted grade point average when the standardized test score was 930? 2.53
4. What was the observed grade point average when the standardized test score was 930? 2.25
I would like to know if my answers are right or wrong. If wrong, show me the correct step to the correct answer. Thank you for your time.
Click here to see answer by stanbon(75887) |
Question 454921: A popular, nationwide standardized test taken by high-school juniors and seniors may or may not measure academic potential, but we can nonetheless attempt to predict performance in college from performance on this test. We have chosen a random sample of fifteen students just finishing their first year of college, and for each student we've recorded her score on this standardized test (from 400 to 1600) and her grade point average (from 0 to 4) for her first year in college. The data are shown below, with x denoting the score on the standardized test and y denoting the first-year college grade point average. The least-squares regression line for these data is y-hat = 1.1372 + 0.0015x.
Standardized test score (x)
910
1350
1490
1300
1060
930
1490
1020
1240
1000
840
1110
1400
790
1200
Grade point average (y)
2.65
3.66
3.51
2.97
3.11
2.25
2.92
3.05
3.29
2.18
2.22
2.40
2.98
2.39
2.72
1. For these data, standardized test scores that are greater than the mean of the standardized test scores tend to be paired with grade point averages that are ------- the mean of the grade point average.
Greater than or Less than
I selected greater than
2. According to the regression equation for an increase of one point in standardized test score, there is a corresponding -------- of 0.0015 point in grade point average.
Increase or decrease
I selected increase
3. From the regression equation, what is the predicted grade point average when the standardized test score was 930? My answer is 2.53
4. What was the observed grade point average when the standardized test score was 930? My answer is 2.25
I would like to know if my answers are right or wrong. If wrong, show me the correct step to the correct answer. Thank you for your time.
Click here to see answer by stanbon(75887) |
Question 454917: A jar contains 60 marbles, some of which are purple and the rest of which are yellow. Some of the marbles are glittery, and the rest are plain. If a marble is selected at random from the jar, the probability that it is purple if 4/15, that it is glittery is 2/3, and that it is either purple or glittery is 49/60. How many are yellow and glittery?
Thank you so much! I have no clue how to do this!
Click here to see answer by stanbon(75887) |
Question 454970: A jar contains 60 marbles, some of which are PURPLE and the rest of which are YELLOW. Some of the marbles are GLITTERY, and the rest are PLAIN. If a marble is selected at random from the jar, the probability that it is PURPLE if 4/15, that it is GLITTERY is 2/3, and that it is either PURPLE or GLITTERY is 49/60. How many are YELLOW and GLITTERY?
Thank you so much! I have no clue how to do this!'
Click here to see answer by stanbon(75887) |
Question 454983: A jar contains 60 marbles, some of which are purple and the rest of which are yellow. Some of the marbles are glittery, and the rest are plain. If a marble is selected at random from the jar, the probability that it is purple if 4/15, that it is glittery is 2/3, and that it is either purple or glittery is 49/60. How many are yellow and glittery?
Thank you for helping me! I saw that someone "answered" this question, but there wasn't anything there. Please help!
Click here to see answer by richwmiller(17219)  |
Question 455044: You and your 50 coworkers decide to play a game that consists of flipping a coin once for each coworker. if the flip of the coin for the particular coworker results in head, you will have to pay them $1. If it results in a tail, neither party has to pay anything.
Assume that the coin you are using is a fair coin (i.e. the probability of getting a head or a tail is equal to 0.5)
the probability that you will not have to pay more than $18
Click here to see answer by stanbon(75887) |
Question 455114: One thousand raffle tickets are sold for $2.00 each. One grand prize of $500 and two consolation prizes of $100 each will be awarded. Jeremy purchases one ticket. Find his expected value. Show your work for full credit.
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Question 455113: In a multiple-choice test, each question has four options. Students will get 2 points for each correct answer; lose 1 point for each incorrect answer; and receive no points for unanswered questions. A student does not know the correct answer for one question. Is it to her advantage or disadvantage to guess an answer?
Click here to see answer by stanbon(75887) |
Question 455043: You and your 50 coworkers decid to play a game that consists of flipping a coing once for each coworker. if the flip of the coin for the particular coworker results in head, you will have to pay them $1. If it results in a tail, neither party has to pay anything.
Assume that the coin you are using is a fair coin (i.e. the probability of getting a head or a tail is equal to 0.5)
the probability that you will not have to pay more than $18
Click here to see answer by stanbon(75887) |
Question 455042: hypothesis is that consuming a sports drink during exercise improves endurance. a sample of 50 males is given a series of 3 endurance tasks and is asked to consume 4 oz of drink between sessions.
overall endurance score for this sample is M=53
Note: standard deviation for the test group is missing.
===========================
.general population without the sports drink the scores for this task avg is 50with std dev 12
can researcher conclude that endurance scores with the drink are significally higher than scores without the drink
use one tailed test with m = 0.05
Click here to see answer by stanbon(75887) |
Question 455020: Each day the probability of rain on a tropical island is 7/8. Which expression represents the probability that it will rain on the island n days in the next three days?
A) 8C7(3)^n(3)^8-n
B) 3C3(7/8)^3(1/8)^n
C) 3Cn(7/8)n(1/8)^3-n
D) nC3(7/8)3(1/8)^n
Click here to see answer by stanbon(75887) |
Question 455100: 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 gram were:
3.087, 3.131, 3.241, 3.241, 3.270, 3.353, 3.400, 3.411, 3.437, 3.477
Construct a 90 percent confidence interval for the mean number of raisins per cup.
What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence?
Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture. (Data are from a project by MBA student Henry Scussel.)
Click here to see answer by stanbon(75887) |
Question 455229: Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more
should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10
or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding
a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance,
is the true mean greater than 10? (b) Use Excel to find the right-tail p-value.
Click here to see answer by stanbon(75887) |
Question 455354: Assume that blood pressure readings are normally distributed with u=120 and o=8 A blood pressure reading of 145 or more may require medical attention. What percentage of people have a blood pressure reading greater than 145?
Click here to see answer by stanbon(75887) |
Question 455314: A simple dart board has three area: the main board has a radius of 8 inches, there is a circle with a radius of 5 inches and the bullseye has a radius of 2 inches. What is the probability of a random dart landing inside the bullseye?
Click here to see answer by stanbon(75887) |
Question 455297: During Spring break on the aleutian islands, the chance of snow on any given day is 45%
A) what is the probability that it will snow at most 2 out of 7 days - long spring break?
B) what is the probability that it will not snow at all during spring break?
I do not know the steps for trying to solve this problem. Please help
Click here to see answer by stanbon(75887) |
Question 455296: Draw a vertical line through a normal distribution for each of the following z-score locations. Determine whether the body is on the right or left side of the line and find the proportion in the tail.
a. z = 2.20
b. z = 1.60
c. z = -1.50
d. z = -0.70
Click here to see answer by stanbon(75887) |
Question 455424: A box contains 2 white balls and 3 black balls. 2 balls are selected at random what is the probability that one is black and one is white.
a)balls are chosen with replacement
b)Balls are chosen without replacement
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Question 455418: Suppose you had a pair of dice. You know that if you roll the dice that occurs most often is 7. The sum that occurs the least is 2 and 12. Suppose you had a pair of dice where 4 is replaced by 7. So the numbers on both are 1,2,3,7, and 6. What sums can possibly occur? What sum occurs most often?
Click here to see answer by stanbon(75887) |
Question 455410: Classify the following as discrete or continuous random variables.
(A) The time it takes to complete this assignment
(B) The blood pressures of all patients admitted to a hospital on certain day
(C) The number of people who play the state lottery each day
(D) The weight of bags of apples, with 20 apples in a bag
Click here to see answer by stanbon(75887) |
Question 455403: 2.) 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? (Data are from Flying 120, no.11[November 1993]. P 31.)
Click here to see answer by stanbon(75887) |
Question 455428: Threre are 30 workers on day shift, 50 on sewing shift and 10 on night shift. 6 of these workers are chosen what is the prob.
a)All 6 selected are from the same shift
b)Atleast 2 different shifts are represented among the selected workers.
Click here to see answer by edjones(8007) |
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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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