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

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 Question 309911: Suppose your vehicle is licensed in a state that issues license plates that consist of three digits (between 0 and 9) followed by three letters (between A and Z). If a license number is selected randomly, what is the probability that yours is the one selected? Click here to see answer by stanbon(69061)

 Question 309892: waiting times single line: 6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7 individual line: 4.2, 5.4, 5.8, 6.2, 6.7, 7.7, 7.7, 8.5, 9.3, 10.0 a)Find the mean, median, mode, variance, standard deviation, and range of each data set. Which appears to be the fastest? b)Perform a hypothesis test to see if one method appears to be efficient than the other. (Hint: test 2 means). Show the null and alternative hypotheses, the critical value at 0.05, the test statistic, and the P-value. Lastly show (explain) your conclusion. Click here to see answer by stanbon(69061)

 Question 310013: An important factor in selling a residential property is the number of people who look through the home. A sample of 15 homes recently sold in the Buffalo, New York, area revealed the mean number looking through each home was 24 and the standard deviation of the sample was 5 people. Develop a 98 percent confidence interval for the population mean. Click here to see answer by stanbon(69061)

 Question 310174: consider a test with 50 multiple-choice questions, each with 5 options. If students guess radomly on the test, what is the expected mean and standard deviation? Click here to see answer by stanbon(69061)

 Question 310151: If P(A)=0.80, P(B)=0.70 AND P(A or B)=0.90, then compute P( A and B). Thank you, Chrissie Click here to see answer by stanbon(69061)

 Question 310140: a bookshelf contains six mysteries and three biographies. two books are selected at random without replacement. a. what is the probability that both books are mysteries? b. what is the probability that one book is a mystery and the otehr is a biography? Click here to see answer by stanbon(69061)

 Question 310137: Evolutionary theories often emphasize that humans have adapted to their physical environment. One such theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and waking—even if they are not exposed to the usual pattern of sunlight. To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time. They could turn the lights on and off as they wished. After a month in the room, each individual tended to develop a steady cycle. Their cycles at the end of the study were as follows: 25, 27, 25, 23, 24, 25, 26, and 25. Using the .05 level of significance, what should we conclude about the theory that 24 hours is the natural cycle? (That is, does the average cycle length under these conditions differ significantly from 24 hours?) (a) Use the steps of hypothesis testing. (b) Sketch the distributions involved. (c) Explain your answer to someone who has never taken a course in statistics. Click here to see answer by stanbon(69061)

 Question 310096: construct the indicated confidence interval for the population mean mu using a t distriution, s=10, c= .80, x bar =114, n=9 Click here to see answer by stanbon(69061)

 Question 310138: Twenty students randomly assigned to an experimental group receive an instructional program; 30 in a control group do not. After 6 months, both groups are tested on their knowledge. The experimental group has a mean of 38 on the test (with an estimated population standard deviation of 3); the control group has a mean of 35 (with an estimated population standard deviation of 5). Using the .05 level, what should the experimenter conclude? (a) Use the steps of hypothesis testing, (b) sketch the distributions involved, and (c) explain your answer to someone who is familiar with the t test for a single sample but not with the t test for independent means. Click here to see answer by stanbon(69061)

 Question 310301: Find the cubic polynomial which takes the following values y(0) = 1, y(1) = 0, y(2) = 1 and y(3) = 10 . Hence obtain the value of y(0.5). Click here to see answer by stanbon(69061)

 Question 310300: this is my id poojitha.k.n@gmail.comFind the cubic polynomial which takes the following values y(0) = 1, y(1) = 0, y(2) = 1 and y(3) = 10 . Hence obtain the value of y(0.5). Click here to see answer by stanbon(69061)

 Question 310296: 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 stanbon(69061)

 Question 310248: How many 7 card hands having exactly 3 Aces, 4 other cards can be dealt? Five coins are tossed. Find the Probability of each event. a. At least one comes up tails. b. Exactly two come up tails Click here to see answer by stanbon(69061)

 Question 310223: A group of files in a medical clinic classifies the patients by gender and by the type of diabetes ( 1 or 2). below is the number in each classification. type 1 type 2 male 42 21 female 49 28 Find the probability that the selected individual is a female and type 2? Is the answer 1/5 Find the probability that the selected individual is a male and type 1? Is the answer 3/10 Find the probability that the individual gets type 1 knowing that the individual is a male? Thank you, Chrissie Click here to see answer by stanbon(69061)

 Question 310258: P(6 < x-bar < 8) = P(-0.3514 < z < +0.3514) = 0.2747 How did you get the 0.2747 Click here to see answer by stanbon(69061)

 Question 310321: Lock combinations are made by using 4 digits. How many different lock combinations can be made if repetition of digits is allowed? Click here to see answer by stanbon(69061)

 Question 310308: you are taking an online algebra quiz in which 6 questions are randomly selected from a test bank counting 50 questions. How many versions of the quiz are possible? Click here to see answer by stanbon(69061)

 Question 310228: When it is not raining, the probability of the Buchanan Bears winning a football game is 2/3. When it is raining the probability of the Bears winning is 3/15. The probability of rain on any day in December is 3/4. What is the probability of the Bears winning on December 5? Click here to see answer by stanbon(69061)

 Question 310222: find the number of possible 5-card hands taken from a standard 52-card deck that contain 2 aces and 3 cards that are not aces Click here to see answer by stanbon(69061)

 Question 310197: Drawing a Card If one card is drawn from a deck, find the probability of getting these results: a. An ace b. A diamond c. An ace of diamonds d. A 4 or a 6 e. A 4 or a club f. A 6 or a spade g. A heart or a club h. A red queen i. A red card or a 7 j. A black card and a 10 Click here to see answer by stanbon(69061)

 Question 309996: Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What are the odds against drawing two red cards? Click here to see answer by stanbon(69061)

 Question 310465: What is the probability of rolling a red and a green number cube and getting: A sum of 7 OR 11? A prime number on red OR a two one green? Click here to see answer by stanbon(69061)

 Question 310423: Bellevue Hospital in New York City uses 100.6 °F as the lowest temperature considered to indicate a fever. a. (0.1 point) What percentage of normal and healthy adults would be considered to have a fever? : b. (0.1 point) Does this percentage suggest that a cutoff of 100.6 °F is appropriate? Click here to see answer by stanbon(69061)

 Question 310501: A hat contains 20 names, 9 of which are female. If eight names are randomly drawn from the hat, what is the probablility that at least six male names are drawn? Click here to see answer by stanbon(69061)

 Question 310504: Find P(the trip will take 25 min) time in minutes: 20 25 30 ____________________________ number of trips: 4 8 2 Click here to see answer by Fombitz(25151)

 Question 310526: Based on the information given for each of the following studies, decide whether to reject the null hypothesis. For each, give (a) the Z-score cutoff (or cutoffs) on the comparison distribution at which the null hypothesis should be rejected, (b) the Z score on the comparison distribution for the sample score, and (c) your conclusion. Assume that all populations are normally distributed Click here to see answer by stanbon(69061)

 Question 310535: A realty company has 100 homes listed for sale.Some of thses homes have fire places, some have garages, and some have neither.What is the probability that the home selected does not have a fire place? Click here to see answer by stanbon(69061)

 Question 310550: A restaurant offers the following choices for breakfast: Eggs: scrambled, fried or poached Meat: bacon, sausage, or ham Toast: wheat, white, rye or pumpernickel The Super Breakfast allows you to select two items for the meat list. How many breakfast combinations are possible if you select one each of the eggs and toast choices and two different meat choices? Create sample space???????? Click here to see answer by stanbon(69061)

 Question 310547: A restaurant offers the following choices for breakfast: Eggs: scrambled, fried, or poached Meat: bacon, sausage, or ham Toast: wheat, white, rye or pumpernickel How many different breakfast combinations are possible if one item is selected from each list of eggs, meat, & toast choices? I know I need to create the sample space but not sure how to get started..... Click here to see answer by user_dude2008(1861)

 Question 310548: You have a bag of Skittles. The bag contains 50 Skittles. There are 5 colors, and 10 of each color. What is the probability of choosing the same color 3 times in a row? (You eat each Skittle.) Express your answer as a fraction in simplest form. Click here to see answer by Fombitz(25151)

 Question 310543: You are trying to collect all nine baseball cards for an All-Star team. Each package of cards he can buy has one card of a member of the team. The cards are equally distributed among all the packages. How could you use a simulation to estimate the number of packages of cards you will need to buy to get all nine cards? Click here to see answer by stanbon(69061)

 Question 310652: 2. A local tire store suspects that the mean life of a new discount tire is less that 39,000 miles. To check the claim, the store selects randomly 18 of these new discount tires. When they are tested, it is found that the mean life is 38,250 miles with a sample standard deviation s = 1200 miles. Assume the distribution is normally distributed. a. Use the critical value t0 method from the normal distribution to test for the population mean . Test the company’s claim at the level of significance  = 0.05. (References: example 1 though 5 pages 397 - 401, end of section exercises 23 – 28 pages 404 - 405) (5 points) 1. H0 : Ha : 2.  = 3. Test statistics: 4. P-value or critical z0 or t0. 5. Rejection Region: 6. Decision: 7. Interpretation: b. Use the critical value t0 method from the normal distribution to test for the population mean m. Test the company’s claim at the level of significance a = 0.01 (References: example 1 though 5 pages 397 - 401, end of section exercises 23 – 28 pages 404 - 405) (5 points) 1. H0 : Ha : 2. a = 3. Test statistics: 4. P-value or critical z0 or t0. 5. Rejection Region: 6. Decision: 7. Interpretation: Click here to see answer by stanbon(69061)

 Question 310647: 5. A researcher claims that the average age of people who buy lottery tickets is 65. A sample of 30 is selected and their ages are recorded as shown below. The standard deviation is 14. At α = 0.05 is there enough evidence to reject the researcher’s claim? Show all work. 49 63 80 52 22 80 72 56 70 56 24 46 70 74 70 61 65 71 39 74 79 76 71 49 62 68 71 67 69 45 Click here to see answer by Edwin McCravy(13211)

 Question 310721: If the Z score sample of 35 employees is 2.0, what is their weekly salary, given that the population mean slaray is \$1,000 per week and the standard deviation is \$100? Click here to see answer by Fombitz(25151)

 Question 310712: There are 5 roads from Albany to Briscoe, 6 from Briscoe to Chadwick, and 3 from Chadwick to Dover. How many different routes are there from Albany to Dover via Briscoe to Chadwick? Click here to see answer by nyc_function(2741)

 Question 310719: A travel club has 200 members. Is 50 members are picked at random each year to go on a trip, what is the probability that a member is picked 3 times in a row? Click here to see answer by Fombitz(25151)

 Question 310749: find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards. Click here to see answer by checkley77(12844)

 Question 310777: how many ways can 6 different books be arranged on a shelf? Click here to see answer by stanbon(69061)

 Question 310792: From a large survey of customers using a chain of coffee shops, 60% of the customers are male, 50% purchase food, 15% are both Male and purchase food. What are the probability that: A customer is both female and purchases food? A female customer purshases food? A customer purchasing food is female? Click here to see answer by stanbon(69061)

 Question 310778: using the letters from the word equation, how many 5 letter patterns can be formed in which q is followed immediately by u? Click here to see answer by stanbon(69061)

 Question 310824: Hi, I really need help on my statistics final, the question is pretty long: For my final I created a survey with the question: Is there a gender preference for fries or onion rings? My null and alternate hypotheses are: HO: There is not a gender preference for either fries or onion rings. HA: There is a gender preference for either fries or onion rings. I've collected the data, and now I need to perform a hypothesis test and I just don't know which one to do. Do I do two seperate two proportion z-tests? And if so, how would I represent that data? I'm sorry for such a long question, and I would truly appreciate any help that you can give me. Click here to see answer by stanbon(69061)

 Question 310836: 6. Given a level of confidence of 95% and a population standard deviation of 8, what other information is necessary: (A) To find the Maximum Error of Estimate (E)? (B) To find the sample size (n)? (C) Given the above confidence level and population standard deviation, find the Maximum Error of Estimate (E) if n = 45. Show all your calculations. Show all work. (D) For this same sample of n = 45, what is the width of the confidence interval around the population mean? Show all work. (E) Given this same confidence level and standard deviation, find n if E = 2.5. (Always round to the nearest whole person.) Show all work. Click here to see answer by stanbon(69061)