# 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 278589: Ten pair of shoes are kept in a rack.If four shoes are selected at random what is the probability that there is atleast one pair among them Click here to see answer by stanbon(57387)
 Question 278589: Ten pair of shoes are kept in a rack.If four shoes are selected at random what is the probability that there is atleast one pair among them Click here to see answer by edjones(7569)
 Question 278589: Ten pair of shoes are kept in a rack.If four shoes are selected at random what is the probability that there is atleast one pair among them Click here to see answer by Grinnell(63)

 Question 278536: I have been staring at this for hours and have no clue how to solve it Can you please help? A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it. Click here to see answer by stanbon(57387)

 Question 278693: What is the probability that you will not have to wait more than 4 minutes for a train that runs every 10 minutes? Click here to see answer by edjones(7569)

 Question 278711: The following are distances traveled to the workplace by 6 employees, find the standard deviation of this sample of distances 10,16,18,24,25,27 Click here to see answer by stanbon(57387)

 Question 278487: A random sample of 100 oranges is gathered and the mean diameter obtained was 7.20. If another sample of 100 is taken, what is the probability that its sample mean will be greater than 7.10 inches? Click here to see answer by stanbon(57387)

 Question 278481: Thirty percent of the population in a southwestern community are spanish-speaking Americans. A spanish-speaking person is accused of killing a non-spanish-speaking american. Of the first 12 potential jurors, only 2 are spanish-speaking americans, and 10 are not. The defendant's lawyer challenges the jury selection, claiming bias against her client. The government lawyer disagrees, saying that the probability of this particular jury compositions is common. What do you think? Click here to see answer by stanbon(57387)

 Question 278989: What is the probability of getting at least one correct answer on a 20-question test with 4 possible answers per question? Click here to see answer by solver91311(16897)

 Question 279079: In a shipment of 50 calculaters,4 are defective.One calculater is randomly selected and tested. WHAT IS THE PROBABILITY IT IS NOT DEFECTIVE ? Click here to see answer by oberobic(2304)

 Question 279137: There are 2 geometry books, 4 geography books, 5 history books, and 3 physics books. How many ways are there to put the books on the shelf? Click here to see answer by stanbon(57387)

 Question 279182: HI , PLS REPLY HOW TO USE EXCEL function to find std deviation for following; mean life of both tyres is 50000 miles, two types of tyres prob of exceeding 40000 miles is as follows: All Weather High Performance Total Exceeds 40,000 miles 0.70 0.23 0.93 Does not Exceed 0.03 0.04 0.07 Total 0.73 0.27 1.00 also if the company wants to ensure that 95% of tyres exceed 40000 mile what should it set the warrantee on both kinds of tyres? pls reply imeediately. it should use normsdist, normsinv and standardize but how to use. regards, chanchal.arora1@gmail.com Click here to see answer by stanbon(57387)

 Question 279195: Seven cards are drawn in succession and without replacement from a standard deck of 52 cards. How many sets of seven cards are possible Click here to see answer by stanbon(57387)

 Question 279073: The cable TV industry reports that 59% of homes in the US to cable TV. If you pick four US households at random, what is the probability that at least one of the households is not a cable TV subscriber? Click here to see answer by stanbon(57387)

 Question 279240: In a bag there are 2red,3yellow,4green,and 6blue marbles.What is the probabilty of p(yellow or green)? Click here to see answer by stanbon(57387)

 Question 279500: A test has twelve true/false questions and Mike knows six for sure. What is the probability that mike will get a perfect score? Click here to see answer by stanbon(57387)
 Question 279500: A test has twelve true/false questions and Mike knows six for sure. What is the probability that mike will get a perfect score? Click here to see answer by Alan3354(30993)

 Question 279423: how do you find the probability of selecting 3 face cards from a standard 32 card deck out of 3 cards drawn with replacement? Click here to see answer by stanbon(57387)

 Question 279237: Please help me solve this Problem A balanced die is rolled twice. Consider the following events: A: even face on the first roll. B: odd face on the second roll. C: same face turns up on the two rolls. D: the sum of the faces is less than 9. a) Which of the pairs are independent events? Click here to see answer by stanbon(57387)

 Question 279678: How would you figure the probability of choosing 2 cards from a deck and getting 2 kings or 2 black cards? Well for starters with picking two black cards you have a fifty fifty Shot. Thw reson for this is because there is and even amount of black cards and red cards/ You have 26 of each. When it comes to picking out two kings. You will have aboue a 3.8 percent chance of accomplishing this. To figue this all you need to do is take 2/52=.038 move the decimal to the right two spots and you have 3.8%. Hope this helps you!!! Click here to see answer by stanbon(57387)

 Question 279663: Procter & Gamble reported that an American family of four washes an average of 1 ton (2000 lbs) of clothes each year. If the standard deviation is 187.5 lb, find the probability that the mean of a randomly selected sample of 50 families of four will be between 1980 and 1990 lbs. Click here to see answer by stanbon(57387)

 Question 279659: Suppose P(A) = 1/5,P(B)= 2/3, andA andB are mutually exclusive. What is P(A and B)? Click here to see answer by stanbon(57387)

 Question 279598: Suppose that ninetey percent of all nutritionists recommend kids eat wheetbix. what is the probability that in a randomly selected sample, exactly nine nutritionists recommened kids eat weet bix? Click here to see answer by stanbon(57387)

 Question 279758: A manufacturer receives an order for fluorscent light bulbs. The order requires that the bulbs have a mean life span of 550 hours. The manufacturer selects a random sample of 25 fluorescent light bulbs and finds that they have a mean life span of 545 hours with a standard deviation of 15 hours. Is the manufacturer making acceptable light bulbs? Defend your answer. use a 95% confidence level. Assume the data is normally distributed. Please show work. Click here to see answer by stanbon(57387)

 Question 279807: Empirical Rule and Chebyshev For #1 through 5 assume a normal (or close to normal) distribution. 1) The average June temperature in Freeport is 71°F with a standard deviation of 5°. a) There’s a 68% chance that a given temperature falls between what 2 values? b) There’s a 95% chance that a temp falls between __________ and _____________ ? c) There’s a 97.5% chance? ________ and _____________ 2) Kingsmen Basketball: The average number of points scored per player per game is 18 points with a standard deviation of 4 points. a) 68% of the data falls within what range? b) 95% of the data falls within what range? c) 99.7% of the data falls within what range? 3) The return on a portfolio investment per month is on average \$86 with a standard deviation of \$5.50. Find the intervals of data for 68%, 95% and 99.7% of the data. 4) The average weight of a seal found on the south shore of Long Island is 78 pounds with a standard deviation of 7.3 pounds. a) There is a 95% chance that a given seal’s weight would fall within what interval? b) What percent of seals found would weigh 78 pounds or less? c) What percent would weigh 85.3 pounds or less? Hint: The mean represent the half way dividing line of the data. 5) The average student’s probability test score is 83% with a standard deviation of 2.8 points. a) What percent of the students’ results lie between 77.4 and 88.6 percentage points? b) What percent of the students’ scores are less that 85.8? 6) The heights of 10 students are measured and recorded: 58” 60” 60” 61” 64” 65” 66” 66” 68” 69” a) What type of distribution should student’s heights approximate? b) Find the mean of the data. c) Find the standard deviation of the data. d) Find the range of values that would contain 99.7% of the data. 7) Ms. Smith’s algebra test scores were skewed due to unequal math background of her students. (The data is skewed, not normal.) The average algebra test score was 78% with a standard deviation of 2.5%. a) What range of scores contains 75% of the data? b) What range contains 94% of the data? Click here to see answer by JBarnum(2044)

 Question 279849: A committee of two is selected at random from a set consisting of three Democrats, four Republicans and one Independent. (a) What is the probability that the committee consists of no Republicans? (b) What is the probability that the committee consists of all Republicans? Click here to see answer by solver91311(16897)

 Question 279755: The average math SAT score is 518 with a standard deviation of 115. A particular high school claims that its students have unusually high math SAT scores. A random sample of 50 Students from this school was selected and the mean math SAT was 535. a) Is the high school justified in its claim? Justify your answer. b) Which is more likley to happen, one student making a math SAT score of 535 or a group of 50 having a mean math SAT score of 535? Justify your answer. Click here to see answer by stanbon(57387)

 Question 279887: One card is selected at random from a standard deck, not replaced, and then a second card is drawn. Find the probability of selecting two face cards Click here to see answer by stanbon(57387)
 Question 279887: One card is selected at random from a standard deck, not replaced, and then a second card is drawn. Find the probability of selecting two face cards Click here to see answer by Alan3354(30993)

 Question 280014: From a standard deck of 52playing cards a single card is drawn, recorded and then put back in the deck. Find the probability of each of the following events. P(a "face" card aka. Jack, Queen, King) P ( a "4") P(a red "15") Click here to see answer by solver91311(16897)

 Question 280094: Assume that federal regulations require that the average smoke stack concentration of a certain industrial pollutant must not exceed 135 ppm. The EPA suspects that one factory is violating this requirement. The EPA randomly collects 31 independent specimens of smoke from the factory's stack, one specimen on each day in October, and performs an accurate lab analysis. The results in ppm are: 147, 151, 122, 107, 136, 139, 141, 153, 138, 111, 155, 147, 165, 148, 150, 123, 106, 137, 138, 142, 154, 139, 109, 157, 146, 168, 145, 153, 120, 104, and 130. Discuss how each party might argue its cases based on sound statistical reasoning. Include appropriate charts, calculations and statistical tests. I already have the calculations and I want to create a histogram but I'm not sure if that is the right chart to use and I'm lost in regards to the statistical tests to perform. Click here to see answer by stanbon(57387)

 Question 280057: there is a bank failure once every six days, on average. What is the probability of at least one bank failure in the next 30 days? Click here to see answer by stanbon(57387)

 Question 280041: The number of accidents that occur at the intersection of Pine and Linden streets between 3 p.m. and 6 p.m. on Friday afternoon is 0, 1, 2, or 3, with probabilities of 0.84, 0.13, 0.02, and 0.01, respectively. Graph this probability distribution. What is the expected value for the random variable given the number of accidents? Click here to see answer by stanbon(57387)

 Question 280007: In a local election district there are 143 Republicans, 608 Democrats, and 107 Independent voters registered. If the voter is selected at random, find the probability that the voter selected is a Democrat Click here to see answer by stanbon(57387)

 Question 280123: Suppose you incorrectly used the normal distribution to find the margin of error for a level of confidence C = 0.90, sample standard deviation s = 5, and sample size n = 16. Find the value of E using the Normal distribution and then find the correct value of E using a t-distribution. How do the results compare? A. The margin of error using z is larger. B. The margins of error are the same. C. The margin of error using t is larger. Click here to see answer by stanbon(57387)

 Question 280147: 6 cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards drawn is a spade? Click here to see answer by stanbon(57387)

 Question 280142: A recent poll by the American Automobile Club found that 30% of those surveyed are worried about aggressive drivers on the road. If three people are selected at random, what is the probability that all three will be worried about aggressive drivers on the road? Click here to see answer by stanbon(57387)

 Question 280208: Five numbers are to be picked, without repitition, from 44 numbers to determine the winner of the Firtune Five game in the state lottery. If the order of the numbers is insignificant, how many different ways can a winning quintuple be selected? What is the probability of winning? Am I on the right track: 44*43*42*41*40=40,320,960 possible combinations How do I find the probability? Click here to see answer by Alan3354(30993)

 Question 280196: A certain type of thermal bettery for an airplane navigation device backup power has a mean life of 300 hours with a standard deviation of 15 hours. What proportion of these batteries can be expected to have lives of 322 hours or less? Assume a normal distribution of backup power devices lives. I'm so confused about what I am supposed to do. Here is what I have tried: 15+300/322= 5130/322=15.9 Click here to see answer by stanbon(57387)

 Question 280046: A company recruits personnel for its sales department on the basis of special tests designed to judge the potential of the candidates. The following table gives test scores and the mean daily sales for 9 executives. a. Fit a regression line of Y on X. b. Prepare a table of predicted values and residuals. Mean daily Score(Y) 34 39 30 33 36 38 45 41 48 Test Score (X) 59 69 50 56 64 66 77 73 83 Click here to see answer by stanbon(57387)

 Question 280322: During sleep , the reduction of a person's oxygen consumption has a normal distribution with a mean of 38.4 mL/min and a standard deviation of 4.6 mL/min. Determine the probability that during sleep a person's oxygen consumption will be reduced by: a) more than 43.5 mL/min b) at most 36.4 mL/min c) anywhere from 30 to 40 mL/min d) If 90% of people have reduction in excess of k mL/min, determine k. Click here to see answer by stanbon(57387)

 Question 280335: Eliza's lunch bag contains 3 chocolate, 6 sugar and 1 lemon cookie. she takes 2 cookies from the bag as a snack. find the probobility eliza did not take 2 sugar cookies from the bag. Click here to see answer by stanbon(57387)

 Question 280328: Suppose that 5% of all items coming off a production line are defective. Assume the manufacturer packages his items in boxes of six and guarantees "double your money back" if more than 2 items in a box are defective. On what percentage of the boxes will the manufacturer have to pay double money back? Click here to see answer by stanbon(57387)

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