# 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 628826: Dice question. Not a math wiz so please excuse my lack of correct terms: Probability of rolling 12 using a pair of dice is 1/36 Probability of rolling 12 three times is a row is 1/36 x 1/36 x 1/36 = 1/1296 or 0.000771605 I was complaining about a the online backgammon site's dice generator rolling double sixes three times in a row all the time ex: 3 times I have rolled double six/double six/double six within a 25 total rolls. To my mind the probability of that event is very low; however, the person I was discussing it with said that the 1/1296 is the only number that applies. Question is whether the odds of rolling 3 sets of double 6's after just completing the feat as the same as 1/1296 or if the previous event needs to be included. Follow up would be if after rolling 3 sets of double sixes 3 times in a row, two successive times in a row, what are the odds of a third time? Thanks for helping with our dinner discussion. to clarify. I mean rolling 6 6 / 6 6 / 6 6 over three consecutive rolls multiple times within a small amount of rolls. Click here to see answer by Alan3354(31518)

 Question 628947: Brian a landscape architect submitted a bid on each of three home landscaping projects. He estimates that the probabilities of winning the bid on Project A, Project B, and Project C are .7, .6, .5 respectively. Also the probability of winning a bid on one of the three projects is independent of winning or losing the bids on the other two projects. Find the probability that Brian will: Win all 3 bids Win Exactly two of the bids Win exactly one bid Click here to see answer by stanbon(57967)

 Question 628917: In how many different ways can 5 people arrange themselves in the 5 seats of a boat if only 2 of the people can drive the boat? Please include explanations- not just the equation! Click here to see answer by ankor@dixie-net.com(15746)

 Question 628950: Essay; show all work. A community 5K run will award \$50 to the winner. 70 people enter the race, and they each pay an entry fee of \$20. Assuming they are all equally likely to win, what is a fair price for the competition? Round to the nearest cent. Click here to see answer by stanbon(57967)

 Question 628954: Given the following set designations: U = {x | x € N and x < 15} and N is the set of natural numbers {1, 2, 3 …} A = {x | x is an odd natural number and x < 15} B = {x | x is an even natural number and x < 15} C = {x | x € N and 1 < x < 9} Identify the members of each set and Find the set indicated by (A ∩ B)’ i.e., the complement set of (A ∩ B) Click here to see answer by stanbon(57967)

 Question 628951: You are playing a game in which you flip a coin three times. It costs \$3 to play the game, which must be subtracted from your winnings. Calculate the expected value for the game. If all coins show the same side you win \$7. If not, you lose your \$3. Click here to see answer by stanbon(57967)

 Question 628961: State whether you believe the two variables below are correlated. If you believe that they are correlated, state whether you think the correlation is strong or weak. Explain your reasoning. Test grades and when you signed up for the class Click here to see answer by solver91311(17077)

 Question 629014: An auditor of Health Maintenance Services of Georgia reports 40 percent of policyholders 55 years or older submit a claim during the year. Fifteen policyholders are randomly selected for company records. A. How many of the policy holders would you expect to have filed a claim within the last year? B. What is the probability that 10 of the selected policyholders submitted a claim last year? C. What is the probability that 10 or more of the selected policyholders submitted a claim last year? D. What is the probability that more than 10 of the selected policyholders submitted a claim last year? Click here to see answer by stanbon(57967)

 Question 629020: slips numbered 1 to 9 Selecting 2 even numbers when 2 slips are chosen without replacement Click here to see answer by solver91311(17077)

 Question 629019: slips numbered 1 to 9 Selecting 2 even numbers when 2 slips are chosen without replacement Click here to see answer by solver91311(17077)

 Question 629160: The probability that a contractor will win a bid for contract A is 0.45; the probability that the contractor will win a bid for contract B is 0.25. The two bids are believed to be independent of each other. What is the probability that the contractor will win at least one of the two bids? Click here to see answer by stanbon(57967)

 Question 629117: Whats the probably that a randomly selected 4 digit number is even and begins with a ODD digit Click here to see answer by stanbon(57967)

 Question 629091: Can you exlplain solution for this problem: In how many ways can you select nine marbles from a bag of twelve, where three are red, three blue, three white, and three green? Click here to see answer by stanbon(57967)

 Question 629073: Given that a population of scores is normally distributed with the mean equal 110 and standard deviation equal to 8, determine the following: a)The percen tile rank of a score of 120 b)the percentile of scores that are below a score of 99. Click here to see answer by stanbon(57967)

 Question 629065: Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4. a. Describe the shape of the sampling distribution of the sample mean x bar. Do we need to make any assumptions about the shape of the population? Why or why not? b. Find the mean and the standard deviation of the sampling distribution of the sample mean x bar. c. Calculate the probability that we will obtain a sample mean greater than 21; that is, calculate P(x bar>21). Hint: Find the z value corresponding to 21 by using ?, and ? because we wish to calculate a probability about x bar. Then sketch the sampling distribution and the probability. d. Calculate the probability that we will obtain a sample mean less than 19.385; that is, calculate P(x bar <19.385). Click here to see answer by stanbon(57967)

 Question 629178: An urn contains 7 one-dollar bills, 5 five-dollar bills, and 3 ten-dollar bills. A person reaches in and takes a bill out, then reaches in and takes another one out (without replacing the first one). a) what is the probability that a five-dollar bill is taken out first, followed by a one dollar bill? b) what is the probability that a total of \$15 is taken out? Click here to see answer by ewatrrr(10682)

 Question 629193: The math department at a university gives all of the students in a certain math class the same final exam. The scores are normally distributed with a mean of 80 and a standard deviation of 10. What percentage of the students is expected to receive a score of 70 or more? Click here to see answer by ewatrrr(10682)

 Question 629236: At a certain college, there were 600 science majors, 200 engineering majors, and 500 business majors. If a student is selected at random, what is the probability that the student is an engineering major? Place your answer, rounded to four decimal places, in the blank. When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry. Click here to see answer by solver91311(17077)
 Question 629236: At a certain college, there were 600 science majors, 200 engineering majors, and 500 business majors. If a student is selected at random, what is the probability that the student is an engineering major? Place your answer, rounded to four decimal places, in the blank. When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry. Click here to see answer by ewatrrr(10682)

 Question 629242: A snack food manufacturer selected a sample of 15 bags of pretzels off the assembly line and weighed their contents. If the sample mean is 10.0 and the sample standard deviation is 0.15, find the 95% confidence interval estimate for the true mean weight of bags of this type of pretzel. A. (9.92, 12.34) B. (8.54, 11.46) C. (10.42, 10.58) D. (9.92, 10.08) Click here to see answer by ewatrrr(10682)

 Question 629238: A company operates four machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift. Machine Shift A B C D 1 41 20 12 16 2 31 11 9 14 3 15 17 16 10 A. The number of breakdowns is dependent on the shift, because the test value 11.649 is less than the critical value of 12.592. B. The claim that the number of breakdowns is independent of the shift cannot be rejected, because the test value 11.649 is less than the critical value of 12.592. C. The number of breakdowns is dependent on the shift, because the p-value is .07. D. The number of breakdowns is independent of the shift, because the test value 12.592 is greater than the critical value of 11.649. Click here to see answer by stanbon(57967)

 Question 629245: The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Based on the data in the table below, is there a significant linear relationship between temperature and the amount of electricity used? Temperature (x) 73 78 85 98 93 81 76 105 Kilowatts (y) 680 760 910 1510 1170 837 600 1800 A. Yes, the sample correlation coefficient is equal to 0.981, which provides evidence of a significant linear relationship. B. Yes, the sample correlation coefficient is equal to 0.878, which provides evidence of a significant linear relationship. C. No, the sample correlation coefficient is equal to 0.098, which does not provide evidence of a significant linear relationship. D. No, the sample correlation coefficient is equal to 0.981, which does not provide evidence of a significant linear relationship. Click here to see answer by stanbon(57967)
 Question 629245: The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Based on the data in the table below, is there a significant linear relationship between temperature and the amount of electricity used? Temperature (x) 73 78 85 98 93 81 76 105 Kilowatts (y) 680 760 910 1510 1170 837 600 1800 A. Yes, the sample correlation coefficient is equal to 0.981, which provides evidence of a significant linear relationship. B. Yes, the sample correlation coefficient is equal to 0.878, which provides evidence of a significant linear relationship. C. No, the sample correlation coefficient is equal to 0.098, which does not provide evidence of a significant linear relationship. D. No, the sample correlation coefficient is equal to 0.981, which does not provide evidence of a significant linear relationship. Click here to see answer by ewatrrr(10682)

 Question 629237: In a particular region of Cape Cod, it is known that lobstermen trap on average of 32 pounds of lobster per day with a standard deviation of four pounds. If a random sample of 30 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds? Place your answer, rounded to four decimal places, in the blank. When entering your answer do not use any labels or symbols other than a decimal point. Simply provide the numerical value. For example, 0.1234 would be a legitimate entry. Click here to see answer by stanbon(57967)

 Question 629234: Eight people, all of different heights, are to be seated in a row. Neither the tallest person nor the shortest person is seated at either end of the row. a.) how many different seating arrangements are possible? b.) what is the probability that the tallest and shortest people are sitting next to each other? Click here to see answer by stanbon(57967)

 Question 629211: The odds against Lounging Larry winning the horse race are 2:13. Determine the probability that Lounging Larry wins the horse race. Click here to see answer by stanbon(57967)

 Question 629190: A student scored 68 percent on a test, and was in the 52nd percentile. Explain these two numbers. Click here to see answer by stanbon(57967)

 Question 629274: Different positive four-digit integers are to be formed by using each of the digits 1,2,3,4 just once in each integer. How many different such integers can be formed if the digits 3 and 4 must NEVER be next to each other? A. 4 B. 8 C. 12 D. 16 E. 24 Click here to see answer by Edwin McCravy(8999)
 Question 629274: Different positive four-digit integers are to be formed by using each of the digits 1,2,3,4 just once in each integer. How many different such integers can be formed if the digits 3 and 4 must NEVER be next to each other? A. 4 B. 8 C. 12 D. 16 E. 24 Click here to see answer by Theo(3504)

 Question 629305: 2. The average commute time via train from the Chicago O'Hare Airport to downtown is 60 minutes with a standard deviation of 15 minutes. Assume that the commute times are normally distributed. What proportion of commutes would be: c. between 45 and 75 minutes? Click here to see answer by stanbon(57967)
 Question 629305: 2. The average commute time via train from the Chicago O'Hare Airport to downtown is 60 minutes with a standard deviation of 15 minutes. Assume that the commute times are normally distributed. What proportion of commutes would be: c. between 45 and 75 minutes? Click here to see answer by ewatrrr(10682)

 Question 629192: if the variance of the ages of the people who attended an opera is 79, what is the standard deviation of the ages? Click here to see answer by stanbon(57967)

 Question 629189: Scores on the Stanford-Binet Intelligence scale have a mean of 100 and a standard deviation of 16, and are presumed to be normally distributed. A person who scores a 132 on this scale has what percentile rank within the population? Show all work as to how this is obtained. Click here to see answer by stanbon(57967)

 Question 629340: for a normal distribution that has a mean of 100 and a standard deviation of 8, what is the z score for x=98, x=108 and x= 112 Click here to see answer by jim_thompson5910(28715)

 Question 629355: A test measuring basic literacy skills in children is normally distributed, with µ = 18 and σ = 5. How do I calculate the z score for each test score, example: a test socre of 11? Click here to see answer by jim_thompson5910(28715)

 Question 629370: a test consists of 10 true/false questions. If a student guesses on each question, what is the probability that the student will get exactly 7 questions right? Click here to see answer by reviewermath(604)

 Question 629376: Name two attribute variables about its customers that a newly opened department store might find informative to study. Name two numerical variables about its customers that a newly opened department store might find informative to study. Click here to see answer by Edwin McCravy(8999)

 Question 629374: 40% of couples who plan to get married this year are planning destination weddings. In a random sample of 12 couples who plan to marry, find the probability that a) exactly 6 couples will have a destination wedding b) at least 2 couples will have a destination wedding c) fewer than 3 couples will have a destination wedding Click here to see answer by reviewermath(604)

 Question 629427: The following table lists the probability distribution of the number of sandwiches made during lunch hour at a deli based on data from the past 50 days. | Sandwiches Made | Probability | | 43 | .04 | | 45 | .06 | | 47 | .12 | | 48 | .10 | | 49 | .20 | | 50 | .22 | | 51 | .18 | | 52 | .04 | | 53 | .04 | |—————————————————+—————————————| How many times during the last 50 days were less than 49 sandwiches made? a. 10 b. 12 c. 16 d. 26 Click here to see answer by 55305(76)

 Question 629460: how many deserts can be made using 5 different ice creams, 6 different fruits and 4 different toppings? Click here to see answer by Edwin McCravy(8999)

 Question 629525: Five items are selected at random from a production line. What is the probability of exactly 2 defectives if it known that the probability of a defective item is 0.05? Click here to see answer by reviewermath(604)

 Question 629557: kindly Help me with the following. I get a bit confused with the two-tailed hypothesis tests. I will be very grateful. Suppose that for a two-tailed hypothesis test the critical values are z0 = 1.88 and −z0 = −1.88. State whether you would reject or fail to reject the null hypothesis if the standardized test statistic z has the values listed below. You dont have to give me the answers, a push in the right direction will do. (a)z=1.72 (b)z = −2.03 Thank you very much. Click here to see answer by ewatrrr(10682)

 Question 629618: what is the probability that Dick will be alive at the end of years from now? He just turned 68 today. Need to use this http://www.ssa.gov/oact/STATS/table4c6.html Click here to see answer by ewatrrr(10682)

 Question 629617: The school of Science and Engineering at a local university regularly purchases a particular type of electrical component. 60% are purchased from company A, and 40 % are from Company B. 2% of those supplied by company A and 1% of those supplied by Company B are known to be defective. The components are identical and thoroughly mixed on receipt. (a) Draw a tree diagram to represent the possible outcomes when a single component is selected at random. (b) A component is selected at random. (i) What is the probability that this component was supplied by company A and was defective? (ii) Calculate the probability that the component was defective. (iii) Given that the component was defective, what is the probability that it was supplied by company A? Click here to see answer by ewatrrr(10682)

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