# Questions on Algebra: Probability and statistics answered by real tutors!

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 512920: Below are four bivariate data sets. 1. x y 1.00 4.2 2.0 6.1 3.0 6.8 4.0 4.2 5.0 4.9 6.0 8.3 7.0 5.5 8.0 6.9 9.0 8.4 10.0 7.9 2. u v 1.00 7.7 2.0 4.9 3.0 10.2 4.0 6.1 5.0 2.2 6.0 5.0 7.0 9.1 8.0 3.7 9.0 9.5 10.0 6.6 3. w t 1.00 8.1 2.0 7.4 3.0 8.0 4.0 6.1 5.0 6.8 6.0 4.4 7.0 5.1 8.0 4.1 9.0 4.4 10.0 3.1 4. m n 1.00 10.0 2.0 9.0 3.0 8.0 4.0 7.0 5.0 6.0 6.0 5.0 7.0 4.0 8.0 3.0 9.0 2.0 10.0 1.0 1. For which data set is the sample correlation coefficient r closest to 0? a. the x, y data set b. the u, v data set c. the w, t data set d. the m, n data set e. none of these data sets 2. Which data set indicates the strongest negative linear relationship between its two variables? a. the x, y data set b. the u, v data set c. the w, t data set d. the m, n data set e. none of these data sets 3. Which data set is the sample correlation co efficient r equal to 1? a. the x, y data set b. the u, v data set c. the w, t data set d. the m, n data set e. none of these data sets 4. Which data set has an apparent positive, but not perfect linear relationship between its two variables? a. the x, y data set b. the u, v data set c. the w, t data set d. the m, n data set e. none of these data sets Click here to see answer by richard1234(5390)

 Question 512965: When water flows across farm land, some of the soil is washed away, resulting in erosion. An experiment was conducted to investigate the effect of the rate of water flow on the amount of soil washed away. Flow is measured in liters per second and the eroded soil is measured in kilograms. The data are given in the following table. Flow rate .31 .85 1.26 2.47 3.75 Eroded soil .82 1.95 2.18 3.01 6.07 The association between flow rate and amount of eroded soil is positive or negative? how so? Click here to see answer by stanbon(57967)

 Question 512927: If you are dealt 3 cards from a shuffled deck of 52 cards, what is the probability that all 3 cards are picture cards? Click here to see answer by htmentor(808)

 Question 513084: A class has 10 males and 14 females. Two students are selected at random. What is the probability that both of the students are males? Click here to see answer by Edwin McCravy(8999)

 Question 513146: Give an example of a set of five numbers where the mode is 7 Click here to see answer by stanbon(57967)

 Question 513151: Shaq is in a free throw shooting competition where he shoots exactly 20 free throws and tries to make as many as he can. The probability he makes a free throw is a constant value of 0.45. Assume his shots are independent of each other. a. What is the expected number of free throws Shaq will make? I did 20X0.45= 9 9 expected throws. b. What is the mode number of free throws Shaq will make? This is the question I am most confused on. I am not sure how to create the data I need to find the mode. c. What is the probability Shaq makes exactly 6 free throws? For this I used the formula and got: P(x=6)= .074 d. What is the probability Shaq makes not less than 12 free throws? I think this is a typo on my teachers part, and I will ask and get back to you. Thanks in advance guys!! Click here to see answer by stanbon(57967)

 Question 513143: three numbers have a mode of 5 and a total of 11.What is the range of the three numbers Click here to see answer by stanbon(57967)

 Question 513128: 5. The U.S. economy has been in a deep recession for a while. The President Obama recently has proposed a project to rescue the economy. However, according to the survey, sixty percent of Americans still believe that the project proposed by the president will have very limited effect on the economy and the country will still be in a recession in the following year. Suppose that we randomly select a sample of 20 Americans. a. What is the probability that exactly 12 people believe that the U.S. economy will still be in a recession in the following year? (5%) (Note: without calculation process, no credit) b. What is the probability that no more than five people believe that the U.S. economy will still be in a recession in the following year? (5%) (Note: without calculation process, no credit) c. How many people would you expect to say the U.S. economy will still be in a recession in the following year? (5%) (Note: without calculation process, no credit) Click here to see answer by stanbon(57967)

 Question 513298: It would be helpful if some one could show me how this problem is done, because I actually want to understand it. Two people go hunting, each fire one shot at a deer. The probability that the first person hits the deer is .3 and the probability that the second person hits the deer is .4. The shots are independent. Find the conditional probability that the second person hit the deer given that exactly one shot hit the deer. All help appreciated. Thanks in advance!! :D Click here to see answer by scott8148(6628)

 Question 513336: Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 95 bank accounts, we want to take a random sample of seven accounts in order to learn about the population. How many different random samples of seven accounts are possible? Click here to see answer by drcole(72)

 Question 513378: Suppose that we have a sample space S {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, ..., E7 denote the sample points. The following probability assignments apply: P(E1) = 0.05, P(E2) = 0.2, P(E3) = 0.15, P(E4) = 0.2, P(E5) = 0.1, P(E6) = 0.05, and P(E7) = 0.25. Assume the following events when answering the questions. Find P(A), P(B), and P(C). P(A) P(B) P(C) What is P(A B)? What is P(A B)? Are events A and C mutually exclusive? - Select your answer -Yes, they are mutually exclusiveNo, they are not mutually exclusiveItem 6 What is P(Bc )?. Click here to see answer by stanbon(57967)

 Question 513420: Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.65 and P(B) = 0.35. What is P(A B)? that symbol between a and b is upsidedown U... What is P(A | B)? Click here to see answer by drcole(72)

 Question 513622: It is known that 40% of the animals in a farm inoculated with a serum are protected from a certain disease. If five of the animals are inoculated, find the probability that none of them contracts the disease? Click here to see answer by stanbon(57967)

 Question 513674: I need to find the lower limit and upper limit of the 99% confidence interval. Group 1 n(down 1) = 20 sample mean (down 1) = 220.7 sample variance (up 2) (down 1) = 134.6 Group 2 n (down 2) = 17 sample mean (down 2) = 228.4 sample variance (up 2) (down 2) = 13396 Construct a 99% confidence interval for stdev(up 2)(down 1)/stdev(up 2)(down1) the ratio of the variances of these two populations. Carry your intermediate computations to at least three decimal places. Write your final responses to at least two decimal places. My apologies about not knowing how to write these appropriately in an electronic form and having to write them with ups and downs. What is the lower limit of the 99% confidence interval? What is the upper limit of the 99% confidence interval? Click here to see answer by stanbon(57967)

 Question 513862: A hat contains six one dollar bills, three five dollar bills and one ten dollar bill. A bill is chosen at random. I need a probability distribution for x, where x represents the value of the bill. Find M and lower case sigma? Click here to see answer by stanbon(57967)

 Question 513784: How many three-digit numbers can be formed using only the digits 0 and 5? Click here to see answer by stanbon(57967)

 Question 513600: a die was toes 96 times and a one spot was observed 20 times. does this differ from what is expected by chance? Click here to see answer by stanbon(57967)

 Question 513966: a camera company surveyed 1000 people at random and asked how long film remianed in camera. 58% said less than one month, 20% said 1 to 3 months, and 22% said over 3 months. If a sample of 8 people who owned cameras is randomly selected, what is probability that 5 people have film that remianed in camera less than 1 month, 1 had film that remiained in camera 1 to 3 months, and 2 people had film that remianed in camera over 3 months? Click here to see answer by drcole(72)

 Question 514001: the total cholesterol in children aged 10-15 is assumed to follow a normal distribution with a mean of 191 and a standard deviation of 22.4. what is the proportion of children 10-15 years of age have total cholesterol between 180 and 190? Click here to see answer by stanbon(57967)
 Question 514001: the total cholesterol in children aged 10-15 is assumed to follow a normal distribution with a mean of 191 and a standard deviation of 22.4. what is the proportion of children 10-15 years of age have total cholesterol between 180 and 190? Click here to see answer by drcole(72)

 Question 514087: Does statistical significance imply clinical significance? Why or why not? Click here to see answer by oberobic(2304)

 Question 514255: one in four americans own stock, in a random sample of ten people, what is the probability that the number owning individual stocks is? Exactly 2=0.0282 (???) At most two? More than two?=0.718 (???) Click here to see answer by stanbon(57967)

 Question 514385: If the odds against Ealgenton winning the election are 2 to 7, then what is the probability the eagleton will win the election? Click here to see answer by Edwin McCravy(8999)

 Question 514410: what is the mathematical formula? if you have 30 apples, eat 20 but 18 were rotten? Click here to see answer by Alan3354(31530)

 Question 514409: if 7 out of 10 students said that they will study for their midterm, how many students out of 300 would you also expect to study? Click here to see answer by richwmiller(9144)

 Question 514457: The width of the Confidence Interval is inversely related to the Maximum Error of Estimate. T or F? Why or why not? Click here to see answer by stanbon(57967)

 Question 514572: a high school marching band has 55 male members. It is determined that five-eighths of the band members are male. What equation represents the total number of members in the band? Click here to see answer by solver91311(17077)

 Question 514578: There are 65 students in a class, 32 are sophmores, 36 are history majors and 6 are neither. (a) What is the probability that a student is both a sophmore and a history student (b)Given the student is a sophmore, what is the propability the student is also a history major? I believe there is a formula for this type of probabilty...poss like classic truth tables, this is a refresher for me.. not sure what type of formula or how to imput the information- Jessica Click here to see answer by solver91311(17077)

 Question 514630: There are 5 true and false questions on a test. How many different ways are there to answer the questions? Click here to see answer by stanbon(57967)

 Question 514504: Past records suggest that the mean annual income,M1, of teachers in state of pennsylvania is less than or equal to the mean annual income,M2, of teachers in Illinois. In a current study, a random sample of 10 teachers from pennsylvania and an independent random sample of 10 teachers from Illinois have been asked to report their mean annual income. The data obtained are as follows: Penn: 37690, 46247, 48701, 34034, 57917, 48242, 50458, 51369, 38914, 47479 Illi: 37791, 39098, 50192, 48432, 38754, 43492, 38217, 53576, 51972, 55200 The population standard deviation for mean annual income of teachers in pennsylvania and in Illinois are estimated as 6400 and 6100, respectively. It is also known that both populations are approximately normally distributed. At the level 0.01 of significance, is there sufficient evidence to reject the claim that the mean annual income of teachers in state of pennsylvania is less than or equal to the mean annual income of teachers in Illinois? Perform a one-tailed test. Then fill in the table below. Null hypothesis: Alternative Hypothesis: The type of test statistic (plus degrees of freedom if t) Value of test statistic: The critical value at the 0.01 level of significance rounded to at least 3 decimal places: Can we reject the claim that the mean annual income of teachers from pennsylvania is less than or equal to the mean annual income of teachers from illinois? Click here to see answer by stanbon(57967)

 Question 514831: What is the probability of correctly picking a sequence of four numbers when each number can be 0 through 9 and each is independent of the other? Click here to see answer by stanbon(57967)

 Question 514847: Bob, Mary, and Jen go to dinner. Each orders a different meal. The waiter forgets who ordered which meal, so he randomly places the meals before the three diners. Let C be the event that a diner gets the correct meal and let N be the event that a diner gets an incorrect meal. Enumerate the sample space and then find the probability that: (a) No diner gets the correct meal. (Round your answer to 4 decimal places.) Probability (b) Exactly one diner gets the correct meal. Probability (c) Exactly two diners get the correct meal. Probability (d) All three diners get the correct meal. (Round your answer to 4 decimal places.) Probability Click here to see answer by solver91311(17077)

 Question 514846: Bob, Mary, and Jen go to dinner. Each orders a different meal. The waiter forgets who ordered which meal, so he randomly places the meals before the three diners. Let C be the event that a diner gets the correct meal and let N be the event that a diner gets an incorrect meal. Enumerate the sample space and then find the probability that: (a) No diner gets the correct meal. (Round your answer to 4 decimal places.) Probability (b) Exactly one diner gets the correct meal. Probability (c) Exactly two diners get the correct meal. Probability (d) All three diners get the correct meal. (Round your answer to 4 decimal places.) Probability Click here to see answer by solver91311(17077)

 Question 514939: How many different numbers can be formed from the digits 0, 1, 3, 5, 7, 9 such that each number is between 2000 and 4000 ? Click here to see answer by Edwin McCravy(8999)

 Question 514965: A corporation that maintains a large fleet of company cars for the use of its sales staff is interested in the mean distance driven monthly per sales person. The following table gives the monthly distances in miles driven by a random sample of 16 sales persons: 2011, 1969, 2396, 2365, 2014, 2184, 2234, 2141, 2419, 2041, 1922, 2616. 2377, 1942, 2227, 2519 Based on this sample, find a 90% confidence interval for the mean number of miles driven monthly by members of the sales staff, assuming that monthly driving distances are normally distributed. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. What is the lower limit of the confidence interval? What is the upper limit of the confidence interval? Click here to see answer by stanbon(57967)

 Question 515002: four cards are drawn from an ordinary deck. what is the expected number of hearts in the draw Click here to see answer by stanbon(57967)

 Question 515024: what is the probability that when flipping a fair coin you get ten consecutive heads? Click here to see answer by josmiceli(9817)

 Question 515039: Flip a fair coin 14 times. Find the probability of getting the following outcome. (Round your answer to three decimal places.) at most 2 heads I did (2+14)(.5)^14 and got .000976562 and rounded it to .001 but it wasnt right Click here to see answer by Edwin McCravy(8999)

 Question 515085: Asking again because email was entered wrong Find the probability of the given value of x mean = 28 standard deviation= 6.5 and x is equal to or less than 20 We are using the standard distribution z chart and I know it is plus or minus .5 However, I do not get the right answers We are using z=x-u/o formula Click here to see answer by drcole(72)

 Question 515090: Commercial radio station call letters are composed of four letters* of the English alphabet (such as WABC). Stations located east of the Mississippi must start with W. How many different 4-letter radio station call letters are possible? Repetition is permitted. *in early radio, only three were necessary such as WOR. Click here to see answer by Alan3354(31530)

 Question 515045: An event E has a probability p = p(E) = 0.3 in some sample space. Suppose the experiment that yields this sample space is repeated six times and the outcomes are independent. Find the probability of getting the following outcome. (Round your answer to six decimal places.) E exactly two times i did C(6,2)(.3)^2(1-.3)=.945, but it wasnt right. Please help Click here to see answer by drcole(72)

 Question 515092: Alexia bought little bags of nuts to take on her bus trip. She had two bags of cashews, three of pecans and three of pine nuts. If she pulls out two bags at random (without replacement) what is the probability that they will be different kinds of nuts? Click here to see answer by htmentor(808)

 Question 515116: 5 batteries... 3 bad and 2 good. if you pick 4, what is the probability that you will get 2 good and 2 bad? Click here to see answer by stanbon(57967)

 Question 515095: Three fair dice are shaken and rolled onto a table. What is the probability that all three dice will display an odd number of spots on their top faces? Click here to see answer by stanbon(57967)

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