# 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 479186: In how many ways can 6 children be seated in a round table? Click here to see answer by vleith(2825)

 Question 479185: How many numbers consisting of 5 digits can be made from 1, 2, 3, 4, 5, 6, 7, 8, 9? Click here to see answer by vleith(2825)

 Question 479074: According to the U.S National Center for Health Statistics, the mean height for adult American males is μ=65.0 inches. Assume the heights are normally distributed with standard deviation of σ=3.0. (I NEED HELP WITH PART C&D..... I INCLUDE PART A&B BECAUSE I WASN'T SURE IF YOU NEED THE INFORMATION TO COMPLETE THE OTHER PARTS.) Determine the probability of finding an adult American male that is: a) Less than or equal to 69.5 inches tall. .answer: .9332 b) Between 69.5 and 65.0 inches tall. answer: .4332 c) How tall must an American male be to be in the top 5% of the adult American male population? d) About 95.44% of the adult males are between _________ and___________ inches tall. Click here to see answer by Theo(3464)

 Question 479197: In how many ways can a jack, a queen and a king be chosen from a deck of 52 cards? Click here to see answer by Edwin McCravy(8909)

 Question 479193: How many three-digit numbers greater than 300 can be formed from 0, 1, 2, 3, 4, 5 and 6, if each digit can be used only once? Click here to see answer by Edwin McCravy(8909)

 Question 479288: The water quality is acceptable if the mean amount of suspended solids is less than 49. Construct an α= .05 test to establish that the quality is acceptable. (a)Specify H0 and H1. (b)State the test statistic. (c)What does the test conclude? Click here to see answer by stanbon(57354)

 Question 479302: A bus stop has 7 stops and 4 passengers. Given that a passenger is equally likely to get off at any stop, what is the probaility that 2 will get off at the same stop? Click here to see answer by stanbon(57354)

 Question 479313: the value of an inventor's stock changed by -1 3/4 points last week. this week, the value changed by 3 times as much. how much did the value of the investor's stock change this week? Click here to see answer by jorel1380(2518)

 Question 479319: I need to construct a truth table. I want to know if I'm on the right track q "and" ~p p q ~p ~q q "and"~p T T F F ? T F F T F T T F F F T T Click here to see answer by Edwin McCravy(8909)

 Question 479351: What is the first whole number that you would have to use the letter "A" in order to spell out the actual number? Click here to see answer by Alan3354(30993)

 Question 479416: Find each probability, each item is replaced: A box contains 10 red, 4 blue and 4 white marbles. Choose a blue, then a red marble Click here to see answer by edjones(7569)

 Question 479389: six people were asked to determine the amount of money they were carrying, to the nearest dollar. the result were 18, 49, 41, 45, 24, and 34. Click here to see answer by edjones(7569)

 Question 479468: the number of pounds of nails in a box is it discrete or continous? THe number of people living in the united states is it discrete or continous? Click here to see answer by stanbon(57354)

 Question 479410: The Pizza Shop wanted to determine what proportion of its customers ordered only cheese pizza. Out of 80 customers surveyed, 15 ordered cheese pizza. What is the 99% confidence interval of the true proportion of customers who order only cheese pizza? Click here to see answer by edjones(7569)

 Question 479413: 45. A national pollster has developed 15 questions designed to rate the performance of the president of the United States. The pollster will select 10 of these questions. How many different arrangements are there for the order of the 10 selected questions? Click here to see answer by edjones(7569)

 Question 479428: a study of postoperative pain relief is conducted to determine if drug A has a significantly longer duration of pain relief than drug B. Observations of the hours of pain relief are recorded for 55 patients given drug A and 58 patients given drug B. The summary statistics are Drug A: Mean, Standard Deviation 4.64, 1.25 Drug B: Mean, Standard Deviation 4.03, 1.82 a)Formulate H0 and H1 b)State the test statistic and the rejection region with α= .10 c)State the conclusion of your test with α= .10. Also, find the P-value and comment. Click here to see answer by edjones(7569)

 Question 479505: I am having difficulties solving the following problem: Nine tickets, numbered 1 to 9, are in a box. If 2 tickets are drawn, determine the probability p that one is odd and one is even. Here is what I did (Method 1): P(1=even, 9 tickets) n (total) = 9, n (even) = 5, n (odd) = 4 P(1=odd, 9 tickets) P (A and B) = P(A) times P(B) [(1/9)X4]X[(1/8)X5] = 5/18 However, my textbook's answer is 5/9. Even if I draw even ticket first, then odd ticket, I will get 5/9 since: [(1/9)X5]X[(1/8)times4] = 5/18. Method 2: 5C1/9C1 = 5/9 4C1/8C1 = 1/2 P(A and B) = 5/9 X 1/2 = 5/18. While it confirms my answer obtained through Method 1, the textbook's answer is 5/9. Prior solving this problem, I thought about it this way: We have 9 total tickets, 5 are even, and 4 are odd. Since we are dealing with tickets, common sense tells me 1. we are taking one ticket at a time; 2. tickets cannot be replaced; 3. after I draw my first ticket, I will have one less ticket and will draw my second ticket from smaller number of tickets, thus we have dependant events; 4. combinations is one way to solve this problem; 5. multiply probability of Event 1 with probability of Event 2 to get total probability. Here is how the textbook did it: (5C1 X 4C1) / 9C2 = 5/9. Please note how they are drawing first ticket and second ticket from 9 tickets as if cards WERE REPLACED. WHY? Please let me know where I went wrong in my reasoning. Thank you very much. Click here to see answer by stanbon(57354)

 Question 479518: a plane has 2 engines, the probability of 1 engine failing in a 1 hour flight is .02, what is the probability of both engines failing? Click here to see answer by robertb(4012)

 Question 479609: Two dices are thrown, one RED and one GREEN. The probability that the number on the red exceeds the number showing on the green by exactly 2 is? a) 1/18 b) 1/4 c) 1/9 d 1/36 e) 1/24 Thank you for your help! :-) Click here to see answer by sudhanshu_kmr(1152)

 Question 479657: Scores on an English placement test are normally distributed with a mean of 55 and standard deviation of 6.5. What score could be used to identify the top 5%? Click here to see answer by stanbon(57354)

 Question 479672: A loan officer at a bank rates applicants for credit. Ratings are normally distributed. The mean is 240 and the standard deviation is 50. Find the probability that an applicant will have a rating less than 300 Click here to see answer by stanbon(57354)

 Question 479674: Scores on an English placement test are normally distributed with a mean of 55 and standard deviation of 6.5. What score could be used to identify the top 5%? Please help me with this problem, I'm not understanding how to solve it & show my work. Thank you. Click here to see answer by stanbon(57354)

 Question 479673: The lifetime of ZZZ batteries is normally distributed with a mean of 270 hours and a standard deviation of 10 hours. What number of hours would represent the 40th percentile in this distribution? Please help me with this I do t understand it & how to show my work. Thank you. Click here to see answer by stanbon(57354)

 Question 479555: Confidence interval for the population mean: Use of the standard normal The lifetime of a certain brand of battery is known to have a standard deviation of hours. Suppose that a random sample of such batteries has a mean lifetime of hours. Based on this sample, find a confidence interval for the true mean lifetime of all batteries of this brand. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. Click here to see answer by stanbon(57354)

 Question 479524: Let U = {5, 10, 15, 20, 25, 30, 35, 40} A = {5, 10, 15, 20} B = {25, 30, 35, 40} C = {10, 20, 30, 40}. Find A ⋂ B. (Points : 1) {5, 15, 30, 40} Ø {5, 10, 15, 20, 30, 40} {10, 20} Click here to see answer by stanbon(57354)

 Question 479520: find the value of the test statistic Z for the folowing: Testing the claim that U= 100 and Q with the sample x=120 Click here to see answer by stanbon(57354)

 Question 479516: Find everything to the right of Z= -1.68 Find everything in between -1.68 and 2.42 Click here to see answer by stanbon(57354)

 Question 479465: the number of pounds of nails in a box is it discrete or continous? The number of people living in the united states is it discrete or continous? Click here to see answer by stanbon(57354)

 Question 479441: The tiles E, T, F, U, N, X, and P of a word game are placed face down in the lid of the game. If two tiles are chosen at random, find each probability. 1) P(E ,then N) ,if replacement occurs 2) P(2 consonants) ,if replacement occurs 3) P(T ,then D) ,if replacement occurs 4) P(2 consonants) ,if no replacement occurs 5) P(select the same letter twice) ,if no replacement occurs Click here to see answer by stanbon(57354)

 Question 479679: Determine the number of permutations of the letters of the word "SELECTION." Show all work. Click here to see answer by stanbon(57354)

 Question 479432: The water quality is acceptable if the mean amount of suspended solids is less than 49. Construct an α= .05 test to establish that the quality is acceptable. X=47 S=9.4 degrees of freedom=13 (a)Specify H0 and H1. (b)State the test statistic. (c)What does the test conclude? Click here to see answer by stanbon(57354)

 Question 479372: Two and a half artists spend two and a half hours painting two and a half models on two and a half canvases. How many artists are needed to paint 24 models on 24 canvases in twenty hours? Click here to see answer by stanbon(57354)

 Question 479349: How many green elements are required to make this a legitimate probability distribution if there are a total of 50 elements in this sample? --- --x---- red---- blue--- orange--brown---green P(x)--- 0.22--- 0.08----0.20----0.30 Thank you Click here to see answer by stanbon(57354)

 Question 479698: a car agency has 18 red cars and 12 blue cars. If 4 of the cars are randomly selected for a safty check. What is the probability of getting 2 of each kind? Click here to see answer by jorel1380(2518)
 Question 479698: a car agency has 18 red cars and 12 blue cars. If 4 of the cars are randomly selected for a safty check. What is the probability of getting 2 of each kind? Click here to see answer by Tatiana_Stebko(1326)

 Question 479704: You have 42 credit hours and a cumulatiove grade point average of 3.o. Your are taking 12 hours this quarter and expect to get a grade point of 3.5 for the quarter. Calculate your new GPA. Click here to see answer by ankor@dixie-net.com(15652)

 Question 479929: suppose that at another plant Coca-Cola is filling bottles with the more traditional 20 ounce of fluid. A lab randomly samples 150 bottles and tests the bottles for fill volume Click here to see answer by stanbon(57354)

 Question 479918: How many ways can you add three different even numbers to get a sum of 20? Click here to see answer by Alan3354(30993)

 Question 479820: A student guesses on all of his answers on a 20 question quiz. Assuming that the student guesses correctly 73% of the time for each item; what is the probability of getting at most 14 answers correct on the quiz? a. 0.183 b. 0.281 c. 0.464 d. 0.536 Click here to see answer by stanbon(57354)

 Question 479785: I tried working this problem out, but got stuck, please help A vending machine dispenses coffee in a 20 oz cup. The amount of coffee dispensed into the cup is normally distrubuted with a standard deviation of 0.06 oz. You can allow the cup to overfill 4% of the time. What amount should you set as the mean amount of coffee to be dispensed, Thanks Click here to see answer by stanbon(57354)

 Question 480037: There were 204 coins on the table. They are all nickels and quaters. The total value is 30.60. How many coins are quaters and how may nickels? Click here to see answer by htmentor(789)
 Question 480037: There were 204 coins on the table. They are all nickels and quaters. The total value is 30.60. How many coins are quaters and how may nickels? Click here to see answer by stanbon(57354)

 Question 480117: I need help with this, is the estimate .03 and the sample size is 1? I am lost. Can you show me how to do this. Thank you. A consumer agency wants to estimate, at a 99% confidence level, the proportion of all households that own at least one pet. What is the sample size that would limit the maximum error of the estimate to within .03 of the population proportion? Click here to see answer by stanbon(57354)

 Question 480127: If the odds against Eagleton winning the election are 4 to 5, then what is the probability that Eagleton will win the election? Thank you! Click here to see answer by stanbon(57354)