# 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 460909: Six students are chosen at random. They are asked to stand in front of the class. What is the probability they will be standing in alphabetical order, left to right? Can you please explain how you derived your answer. Thank you Click here to see answer by edjones(7569)

 Question 460948: Suppose that an insurance agent for Almost Heaven Insurance claims that less than 20% of his life insurance policies ever have to "pay out." You decide to test his claim at the a=0.02 significance level. A sample of 75 policies from last year finds that 30 of them had to pay out. The hypotheses is as follows: Ho: p>(underlined) 0.20 and H1: p< 0.20. with a critical value of -2.05 compute the sample statistic and choose the appropriate solution. Solution is either A) We cannot reject HO, thus it may be that at least 20% of the policies pay out or B) We reject Ho, thus less than 20% of the policies pay out. Click here to see answer by edjones(7569)

 Question 460959: Choose one number at random from 1, 2, 3, 4, ... , 999, 1000. What is the probability that the number drawn a.) is less than 100? b.) has exactly two digits? c.) is divisible by 2? d.) is divisible by 2 or 25? e.) has exactly four digits? f.) has digit(s) that add up to two? Click here to see answer by edjones(7569)

 Question 460938: Suppose that a company CEO claims that a majority of his employees carry secondary health insurance. You decide to test his claim using a significance level of 1 = 0.05. A sample of 150 employees finds that 87 of them carry secondary health insurance. 1st, you set up your hypotheses as follows: Ho:ρ ≤ 0.50 H1:ρ > 0.50 (claim) z = 87/150 - 0.50/√0.50 x 0.50/150 = 1.9596 Compute the probability of getting a sample statistic at least as extreme as z = 1.9596 and interpret this probability value. Click here to see answer by stanbon(57352)

 Question 461058: The scores on a college entrance exam are normally distributed. the mean score is 510, and the standard deviation is 80. A.)of the 50,000 people who took the exam, how many people scored between 430 and 590? B.)a student must score above 750 on the college entrance exam to qualify for a full scholarship at carleton university. what percentage of the people who took the exam will qualify? please help me:) thanx:) Click here to see answer by jim_thompson5910(28595)

 Question 461124: you randomly select a card from a 52-card deck. What is the probability that the card is either an 8 or black? Click here to see answer by richard1234(5390)

 Question 460400: I have my Algebra 1 Exam. Its worth 70% of my grade, 50 questions. If my total average for the year is a C- , is it possible that if i do good on the exam it will be raised to a C? If so , what would i have to get on the exam? I need a 75 percent or higher average in the class. My grades were : C- , C- , D , and now im at A D+ Click here to see answer by richard1234(5390)

 Question 460331: an even number given that the color is red Click here to see answer by richard1234(5390)

 Question 461065: a manufacturing process has a 70% yield, meaning that 70% of the porducts are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable. Click here to see answer by stanbon(57352)

 Question 461062: Six hundred chances are sold at \$7 apiece for a raffle. There is a grand prize of \$500 dollars, two second prizes of \$250, and five third prizes of \$100. First calculate the expected value of the lottery. Determine if the lottery is a fair game. If the game is not fair, determine a price for playing the game that would make it fair. The expected value of the game is \$______ If the game is not fair, determine a price for playing the game would make the game fair. \$_______ Click here to see answer by stanbon(57352)

 Question 461188: Assume that a sample is drawn and z(α/2) = 1.65 and σ = 30. Answer the following questions: (A)If the Maximum Error of Estimate is 0.05 for this sample, what would be the sample size? (B)Given that the sample Size is 400 with this same z(α/2) and σ, what would be the Maximum Error of Estimate? (C)What happens to the Maximum Error of Estimate as the sample size gets larger? (D) What effect does the answer to C above have to the size of the confidence interval? Click here to see answer by stanbon(57352)

 Question 460931: Nine guests are invited for dinner. If there are 2 "ends" to the table, how many different pairs can be seated on the ends? Assume the seating is random (a "couple" can be split up) and the same pair at either end is still only one pair. Click here to see answer by stanbon(57352)

 Question 460876: It has been reported that 83% of federal government employees use eamil. If a sample of 200 federal governmnet employees is selected, find the mean, variance, and standard deviation of the number who use email. Click here to see answer by stanbon(57352)

 Question 460843: The time taken for a computer link to be made between the terminal in an executive's office and the computer at a remote factory site has a Normal distribution with a mean of 15 seconds and a standard deviation of 3 seconds. On 90% of the occasions, the computer link is made in less than ___ Click here to see answer by stanbon(57352)

 Question 461190: A confidence interval estimate for the population mean is given to be (46.66, 54.74). If the standard deviation is 11.822 and the sample size is 57, answer each of the following (show all work): (A) Determine the maximum error of the estimate, E. (B) Determine the confidence level used for the given confidence interval Click here to see answer by stanbon(57352)

 Question 460790: with a sample size of 20 what is the result using a one tailed test Click here to see answer by stanbon(57352)

 Question 460450: Discrete probability distribution: Basic Fill in the values in the table below to give a legitimate probability distribution for the discrete random variable , whose possible values are , , , , and . The numbers are -2,1,3,4, and 6. Click here to see answer by stanbon(57352)

 Question 461206: Twenty seven students averaged 70 on their midterm. Could 15 of them score above 90? Explain Click here to see answer by richard1234(5390)

 Question 461396: I would appreciate if someone could show me how to do these probability homework questions. 7. Of the 100 people who were given a new sleeping aid, 30 experienced a light headache, 18 experienced a reduced appetite, and 60 experienced neither side-effect. How many people experienced both a light headache and a reduced appetite? 40-30= 10 + 18= 28? Click here to see answer by rwm(914)

 Question 461428: You plan to play the lottery by letting the computer pick your numbers randomly. Is this a good strategy? A. Yes, this gives you a better chance to win since the numbers drawn are random. B. Since the winning tickets are randomly drawn, it doesn't matter if you play random numbers or not. C. Since the winning numbers are random, letting the computer choose your numbers makes them less likely to match D. Randomly chosen numbers will win much less often than chosen numbers. E. If you let the computer pick your numbers, you are guaranteed not to win, since the computer knows your numbers Click here to see answer by solver91311(16885)
 Question 461428: You plan to play the lottery by letting the computer pick your numbers randomly. Is this a good strategy? A. Yes, this gives you a better chance to win since the numbers drawn are random. B. Since the winning tickets are randomly drawn, it doesn't matter if you play random numbers or not. C. Since the winning numbers are random, letting the computer choose your numbers makes them less likely to match D. Randomly chosen numbers will win much less often than chosen numbers. E. If you let the computer pick your numbers, you are guaranteed not to win, since the computer knows your numbers Click here to see answer by rwm(914)

 Question 461434: You misplaced two of the following scores in a sample, but you have the data indicated below. What should you guess the missing scores to be? why? 7,12,13,14,11,14,13,13,12,11 Click here to see answer by rwm(914)

 Question 461556: 1. A box contains 74 brass washers, 86 steel washers and 40 aluminum washers, Three washers are drawn at random from the box without replacement. Determine the probability that all three are steel washers. Click here to see answer by edjones(7569)

 Question 461542: For the following pairs of values, state the decision that will occur and why. A) p-value = 0.033, α = 0.05 Click here to see answer by edjones(7569)

 Question 461528: A single 6-sided die is rolled twice. A. Find the probability of getting 2 numbers whose sum is less than 5. B. Find the probability of getting 2 numbers whose sum is greater than 5 C. Find the odds in favor of getting 2 numbers whose sum is greater than 5. D. Find the odds against getting 2 numbers whose sum is greater than 5. E. Find the probability of getting 2 numbers each of which is greater than 5. Click here to see answer by edjones(7569)

 Question 461577: Suppose that an insurance agent claims that less than 5% of his life insurance policies ever have to pay out. You decide to test his claim at the a=0.01 significance level. A sample of a 100 policies from last year finds that 7 out of them had to pay out. With a critical value of -2.33, compute the sample statistic. nora1.skelton@yahoo.com Click here to see answer by edjones(7569)

 Question 461615: how many different 4-digit numbers can be made with the the following numbers if they can be onlu used once? the digits are: 2,3,4,5,6,7,8,and 9. Click here to see answer by sudhanshu_kmr(1152)

 Question 461728: I just need someone to tell me if I did these correctly before I submit my homework. 7. Of the 100 people who were given a new sleeping aid, 30 experienced a light headache, 18 experienced a reduced appetite, and 60 experienced neither side-effect. How many people experienced both a light headache and a reduced appetite? 60-48= 12? 8. A quiz consists of 6 multiple-choice questions, each has three possible answers. In how many different ways can the quiz be answered if one answer is chosen for each question? 3^6? 9. A code consists of two letters chosen from the English alphabet, followed by 4 digits. If the first letter must be a K or an M, the second letter can be any one of the 26 letters, how many different codes are possible? I dont know how to even set this one up... 10. In how many ways can two math books and three English books be arranged in a row if the two math books must be placed next to each other? 2^3? Click here to see answer by rwm(914)

 Question 406289: Each of the numbers 0 through 26 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even. 14/27 13/27 1/2 14/26 14/27 Click here to see answer by melmel1(1)

 Question 461898: what is the probability that two out of three cards drawn from a deck of 52 without replacement are red? Click here to see answer by stanbon(57352)

 Question 461817: The probability of winning a certain lottery is 1/54,535. For people who play 949 times, find the standard deviation for the random variable X, the number of wins. Click here to see answer by stanbon(57352)

 Question 461785: Three coins are tossed. A)determine the number of points in the sample space. B)Construct a tree diagram and list the sample space. Determine the probabiltiy that: C)No heads are tossed. D) Exactly one head is tossed. E)Three heads are tossed. Click here to see answer by stanbon(57352)

 Question 461750: A box contains 3 red and 5 black balls; find the total number of ways such that all red balls stay together and all black balls stay together in the row. Click here to see answer by stanbon(57352)

 Question 461713: I don't know how to set these up or solve these problems. Please help me with my homeowrk! Given sets E = {1,2,3,4}, F = {2,4,6} and the universal set U = {1,2,3,4,5,6,7}. 1. E∩F = (A) {1,2,3,4,6} (B) {2,4} (C) {7} (D) {6} I am guessing it is (A) since those are the numbers that both sets contain 2. EUF’ = (A) {1,2,3,4,5,7} (B) {5,7} (C) {6} (D) { } I am guessing that this one is (B) since those numbers are the only ones not included in both sets. The next two I dont know the equations. Please show me how to set them up to solve. 5. Given that n(E) = 9, n(EUF) = 14, n(E∩F) = 5. Find n(F). 6. Suppose E and F are mutually exclusive, then n(E∩F) = _____. Click here to see answer by stanbon(57352)

 Question 461818: Without providing the large dataset, (n=855) what's the best method to solve? What is the probability that a person selected at random from the data will be under 25 years of age or over 50 years of age? Click here to see answer by robertb(4012)

 Question 259798: Can someone please put me on the right track i ask this question four time and no answer was given. You are given the following frequency distribution for the number of errors that students made in a test Errors Frequency 0-2 14 3-5 1 6-8 9 9-11 19 12-14 17 Find the mean, variance, and the standard deviation please help ASAP!!!!!!!!!!!!!!!!! Click here to see answer by dylantc77(3)

 Question 461630: Mars claims that 15% of its plain M&M candies are green. Determine the probability of selecting less than 5 green M&m candies. Click here to see answer by richard1234(5390)

 Question 461789: Consider the circles shown. The numbers represent the circles. 1 2 3 4 5 6 Assume that one circle is selected at random and each circle is equally likely to be selected. determine the probability of selecting; -A number less than 2, given that the number is less than 5. Click here to see answer by stanbon(57352)

 Question 461973: Questions: (1) In a group of 40 people at a party, what is the probability of at least two people having the same birthday. That is those who are born on the same day of the same month but not necessarily the same year. Assume 365 days in a year and no twins are present at the party. (2) Bowl Cl contains 3 red and 7 blue chips and bowl C2 contains 8 red and 2 blue chips. All chips are identical in size and shape. A die is cast and bowl Cl is selected if five or six spots show on the side that is up; otherwise, bowl C2 is selected. The selected bowl is handed to another person and one chip is taken at random. Suppose that the selected chip is red, what is the probability the selected bowl was Cl? (3) A jelly producer makes 7 types of jelly. the producer packages gift boxes containing 4 jars of jelly, no two are of the same type. to reflect the 3 national chains through which the jelly is distributed, the producer uses 3 types of boxes. How may different gift boxes are possible? (4)A firm uses three machines to process its work. Machine A is the most heavily used machine, machine B is used twice as often as machine C and half as often as machine A. If machine A produces a faultless product on 80% of occasions, machine B produces a faultless product on 70% of occasions and machine Closes 10% of its products to early faults, and of the product that remains, 90% is faultless. Find the probability that a faulty product ha..'l come from machine B. (5) A manufacturing process requires the use of a robot welder on each of the 2 assembly lines, A & B, which produce 300 & 500 units of product per day, respectively. Based on past experiences, it is believed that the welder on A produces 2% defective units, whereas the welder on B produces 5% defective units. At the end of the day, a unit was selected at random from the total production and was found to be defective. WHat is the probability that it came from line A? Thanks in advance. Click here to see answer by edjones(7569)

 Question 461984: I am having a very hard time with this. Can someone help? The number of bowls of soup served was sampled during a lunch period 11:00 a.m. – 2:30 p.m. at a soup stand on a weekday. Below is the sample: 71 63 92 58 93 74 92 99 82 63 92 91 63 54 76 95 76 Construct a stem and leaf plot of the data. Click here to see answer by stanbon(57352)

 Question 461981: The recent default rate on all student loans is 5.2 percent. In a recent random sample of 300 loans at private universities there were 9 defaults. Does this sample show sufficient evidence that the private university loan default rate is below the rate for all universities, using a left-tailed test at α = .01? (a-1) Choose the appropriate hypothesis. (a-2) What is the z score for the sample data? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) z value (a-3) Should the null hypothesis be rejected? (b) Calculate the p-value. (Round your answer to 4 decimal places.) p-value (c) The assumption of normality is justified. Click here to see answer by stanbon(57352)

 Question 461699: 1. (A) Classify the following as an example of nominal, ordinal, interval, or ratio level of measurement, and state why it represents this level: major field of study of 100 college students (B) Determine if this data is qualitative or quantitative: Red hair (C) In your own line of work, give one example of a discrete and one example of a continuous random variable, and describe why each is continuous or discrete. Click here to see answer by stanbon(57352)

 Question 462022: An identification code is to consist of five letters followed by three digits. How many different codes are possible if repetitions is permitted? Click here to see answer by katealdridge(100)

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