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 205374: To use telephone banking to paybills,the customerhas to enter the last three digits of each bill. The numbers 0 to 9 inclusive can be used. If the numbers happen to be the same on more then one bill, the costumer has to enter the first 3 digits as well. A.) What is the probability that a person has 2 bills to register with the same last 3 digits? B.)What is the probability that a person with 10 bills to register has at least 2 bills with the same last 3 digits? Click here to see answer by stanbon(57415)

 Question 205406: If four cards are chosen at random from a standard deck of playing cards, how many different ways are there to draw the four cards if at least three cards are a jack, queen or a king? Click here to see answer by stanbon(57415)

 Question 205416: Can you please help me answer this? Among 170 households surveyed, 41 have a video camera, 58 have a snapshot camera, 36 have binoculars, 9 have a video camera and a snapshot camera, 6 have a snapshot camera and binoculars, and 3 have all three products. What is the probability that a household will have a snapshot camera or binoculars? Express the answer as a fraction. I drew a venn diagram with three circles. "v" for video cam, "s" for snapshot and "b" for binoculars. I put three in the very middle and found that 3 houses have "s" and "b", and 6 have "v" and "s." I don't know how to find how many have "v" and "b" so without that information I can't figure out how many have a snapshot camera or binoculars. Click here to see answer by stanbon(57415)

 Question 205359: In the Big Ten (NCAA sports league) a sample showed that only 267 out of 584 freshman football players graduated within 6 years. (a)At a= .05 does this sample contradict the claim that at least half graduate within 6 years? State the hypothesis and decision rule , calculate the p- value and interpret it. DO you think the difference is important, as to significant? I am not sure how to plug in the formula for the p-value Click here to see answer by stanbon(57415)

 Question 205386: 1. At a house, there are 6 seniors, 4 juniors, and 2 sophomores. If a committee of 3 is selected at random, what is the probability that 1 sophomore and 2 seniors will be selected? 2. The average repair cost of a microwave oven is \$55, with a standard deviation of \$8. The costs are normally distributed. If 12 ovens are repaird, find the probability that the mean of the repair bills will be less than \$51. 3. A researcher at Wilkes University wishes to estimate the average amount of money earned by all students who work summer jobs. The standard deviation is known to be \$500. In a random sample of 60 Wilkes students who had summre jobs, the researcher found the mean amount of money they earned to be \$3000. Find the 95% confidence interval for the mean amount of money earned by all students with summer jobs. Click here to see answer by stanbon(57415)

 Question 205372: Two standard dice are rolled. Determine the probability that the difference between the two numbers on the dice is 2? Click here to see answer by alicealc(281)

 Question 205373: Five students are equally qualified to represent their schoolat an awards ceremony. Two students will be chosen randomly to go to the ceremony. A.) If Tony is one fo the five students,what is his probability of being chosen? B.)Tony's friend, Allecia who was also eligible to go has been chosen. What is Tony's probabilityof being chosen when he learns Allecia is going? Click here to see answer by stanbon(57415)

 Question 205371: Recently the number of hours canadians listen to the radio has increased. Statistics Canada determines information such as this by sending out a questionnaire to a random sample of Canadians. The return rate for this questionnaire is approximately 47%. Approximately 77% of the canadian population is urban, but returning this questionnaire is not dependent on whether you are an urban or rural dweller. A)Determine the probability that a canadian randomly chosen for the sample is an urban dweller and returns the questionnaire. B.)Determine the probability that a Canadian randomly chosen for the sample is a rural dweller and does not return the questionnaire. Click here to see answer by stanbon(57415)

 Question 205362: A consumer agency tested 290 hams, finding that 64 were underweight. (a) Construct a 95 percent confidence interval for the true percent of underweight hams. (b) If the goal is to reduce the incidencw of underweight hams to 25 percent or less, does this sample show that the goal is being acheived? (c) Explain how this confidence interval is equivalent to a two-tailed test at a=.05. Click here to see answer by stanbon(57415)

 Question 205566: In 1998, statistics canada reported that 36% of canadian households use the internet. George polled 100 households in his neigbourhood to see if they use the internet more often then the national averga. A.)Construct a 99% confidence interval for the number of households that use the internet. B.)George found that 60 households use the internet. Does fall in the 99%confidence interval?? Click here to see answer by stanbon(57415)

 Question 205565: A box of cookies contains a mean mass of 180g with and standard deviation of 2g. A.) one box had a mass that corresponds to a z-score of -1.5. How many grams of cookies did this box contain. B.)If the mean mass of these boxes is assumed to be normal distributed, what is the probabilty a box of cookies will contain less the 179g? Click here to see answer by stanbon(57415)
 Question 205565: A box of cookies contains a mean mass of 180g with and standard deviation of 2g. A.) one box had a mass that corresponds to a z-score of -1.5. How many grams of cookies did this box contain. B.)If the mean mass of these boxes is assumed to be normal distributed, what is the probabilty a box of cookies will contain less the 179g? Click here to see answer by Theo(3472)

 Question 205646: Please Solve This Probability Question: A single dice is rolled three times. What is the probability that the next roll will produce a number greater then 3? Thank You So Much Click here to see answer by Alan3354(30993)

 Question 205645: Can You Please Help Me With This Probability Question: A fair coin is flipped once and yields heads. It is flipped again and yeilds heads. A third toss also yields heads. What is the probability that is will produce tails on the fourth toss? Thank You For Your Help : ) Click here to see answer by Alan3354(30993)

 Question 205657: Can You Please Help Me With This Probability Question: If two dice are rolled, what is the probability that their sum will be a number greater that 10? Thanks :D Click here to see answer by solver91311(16897)

 Question 205670: Shipments of meat, meat by-products, and other ingredients are mixed together in several filling lines at a pet food canning factory. After the ingredients are thoroughly mixed, the pet food is placed in eight-ounce cans. Descriptive statistics concerning fill weights from the two production lines, from two independent samples are given in the following table. Line A Line B X 8.005 7.99 S 0.012 0.005 N 11 16 Assuming the population variances are equal, at the 0.05 level of significance, is there evidence of the difference between the mean weigh of the cans filled on the two lines? Click here to see answer by stanbon(57415)

 Question 205671: A problem with a telephone line that prevents that prevents a customer from receiving or making calls is disconcerting to both the customer and the telephone company. The data PHONE represents samples of 20 problems reported to two different offices of a telephone company of a telephone company and the time to clear these problems (in minutes) from the customers’ lines: Central office 1, time to clear problems in minutes 1.48 1.75 0.78 2.85 0.52 1.60 4.15 3.97 1.48 3.10 1.02 0.53 0.93 1.60 0.80 1.05 6.32 3.93 5.45 0.97 Central office 2, time to clear problems in minutes 7.53 3.75 0.10 1.10 0.60 0.52 3.30 2.10 0.58 4.02 3.75 0.65 1.95 0.60 1.53 4.23 0.08 1.48 1.65 0.72 a. Assuming that the population variances from both offices are equal, is there evidence of a difference in the mean waiting time between the two offices? (Use α=0.05). b. Assuming that the population variances from both offices are NOT equal, is there evidence of a difference in the mean waiting time between the two offices? (Use α=0.05). c. Find the p-value in (a) and interpret its meaning d. What other assumptions is necessary in (a) e. Assuming that the population variances from both offices are equal, construct and interpret a 95% confidence interval estimate of the difference between the population means in the two offices. Click here to see answer by stanbon(57415)

 Question 205564: In many families, both parents work. As a result, there is increasing need for day care. Data was collected; and in one year in Canada appoximately 32%of children ages 0 to 11 years were in day care for at least 20 hours a week. A.) What is the probability in a random poll of 60 children from the ages 0 to 11 that more then 15 children are in day care at least 20h per week.? B.) What is the probability, in a random poll of 60 children that fewer then 20 are in day care at least 20 hours per week? Click here to see answer by stanbon(57415)

 Question 205731: Solve the problem. Williamston Daily is a new daily newspaper. When they first started printing three years ago they had 5700 home delivery subscribers. The number of subscribers increases by 67 every month. Write an equation that shows the relationship between the number of subscribers, B, and the number of months the paper has been printed, n. Thank you for your time. Click here to see answer by RAY100(1637)

 Question 205729: Solve the problem. A fruit salad is made up of cantaloupe, strawberries, and bananas. If a salad weighing 40 ounces contains three ounces of bananas for every ounce of strawberries and has the same number of ounces of cantaloupe as strawberries, how many ounces of bananas are in the salad? Click here to see answer by josmiceli(9697)

 Question 205708: The frequency distribution of test scores for a class of 9 females and 11 males is shown as below. Find the probability of students who scored above 78. Click here to see answer by stanbon(57415)

 Question 205520: Shipments of meat, meat by-products, and other ingredients are mixed together in several filling lines at a pet food canning factory. After the ingredients are thoroughly mixed, the pet food is placed in eight-ounce cans. Descriptive statistics concerning fill weights from the two production lines, from two independent samples are given in the following table. Line A, Line B, X, 8.005, 7.99 S, 0.012, 0.005 n, 11, 16 Assuming the population variances are equal, at the 0.05 level of significance, is there evidence of the difference between the mean weigh of the cans filled on the two lines? Click here to see answer by stanbon(57415)

 Question 205803: 17 tell whether the statement is true ir false {3,17,26,10,35}= {35,17,10,62,3} Click here to see answer by stanbon(57415)

 Question 205807: 5. use the union rule to answer the question If n(a)=40,n (b) =117,and n (a u b)= 137 what is n (A n B) A.60 B.20 C.10 D.22 Click here to see answer by stanbon(57415)

 Question 205978: The fill amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liters. If random sample of bottles is selected, what is the probability that the sample mean will be between 1.99 and 2.0 liters:: The fill amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liters. If random sample of bottles is selected, what is the probability that the sample mean will be below 1.98 liters? greater than 2.01 liters? The probability is 99% that the sample mean will contain at least how much soft drink? The probablity is 99% that the sample mean will contain an amount that is between which two values (symetrically distributed around the mean)? Click here to see answer by stanbon(57415)

 Question 205992: Can someone please help me with this problem: In a game of musical chairs, 11 children will sit in 10 chairs arranged in a row(one child will not find a chair). In how many ways can 10 of the children find seats? a. 39,916,800 b. 110 c. 39,916,940 d, 3,628,800 Click here to see answer by edjones(7569)

 Question 206006: Can someone please help me with this problem: Use a Venn Diagram and the given information to determine the number of elements in the indicated set. n(U)=64, n(A)=18, n(B)=30, n(C)=23, n(A n C)=3, n(B n C)=3, and n(A n (B n C))=2. Find n(((A u B) u C)'). a. 11 b. 3 c. 2 d. 14 Click here to see answer by stanbon(57415)

 Question 206208: In a shop there are 20 customers, 18 of whom will make a purchase. If three customers are selected, one at a time, at random, what is the probability that all will make a purchase? Click here to see answer by Marth(57)

 Question 206215: A single card is drawn from a deck. Find the probability of selecting a 10 or a diamond. Click here to see answer by HyperBrain(694)

 Question 206164: Bob, Mary, and Jen go to dinner. Each orders a different meal. The waiter forgets who ordered which meal, so he randomly places the meals before the three diners. Let C be the event that a diner gets the correct meal and let N be the event that a diner gets an incorrect meal. Enumerate the sample space and then find the probability that: a. No diner gets the correct meal b. Exactly one diner gets the correct meal c. Exactly two diners get the correct meal d. All three diners get the correct meal Click here to see answer by stanbon(57415)

 Question 206176: Using the z-table (Table E), find the critical value (or values) for a a=.018 left-tailed test. Click here to see answer by Edwin McCravy(8920)

 Question 206282: Hi, I am really struglling with this question. It's a little tricky. Any help will be much appreciated. An electronic switching device occasionally malfunctions and may need to be replaced. It is known that the device is satisfactory if it makes, on average no more than .2 errors per hour. A particular five hour period is chosen as a “test” on the device. If no more than 1 error occurs, the device is considered satisfactory. What is the probability that a satisfactory device will be mis-diagnosed as “unsatisfactory” on the basis of the test? Click here to see answer by stanbon(57415)

 Question 206307: Kindly, help me solve this question. There are 38 twenty cent coins, x ten cent coins and (2x-15)fifty cent coins in a box. A coin is selected at random and the probability that it is fifty cent coins is 1/8. Find the value of x. Hence, find the probability that the selected coin is a (a) Twenty cent coin, (b) Ten cent coin. Click here to see answer by mickclns(59)
 Question 206307: Kindly, help me solve this question. There are 38 twenty cent coins, x ten cent coins and (2x-15)fifty cent coins in a box. A coin is selected at random and the probability that it is fifty cent coins is 1/8. Find the value of x. Hence, find the probability that the selected coin is a (a) Twenty cent coin, (b) Ten cent coin. Click here to see answer by stanbon(57415)

 Question 206340: Approximately 22% of students are majoring in one of the 4 science colleges. If we were to take a simple random sample of 200 students, what is the probability of getting a value for p-hat that is less than .20? Click here to see answer by stanbon(57415)

 Question 206319: What is the critical value for a two-tailed F-test with a=0.10, when the sample size from which the variance for the numberator was obtained was 10, and the sample size from which the denominator was obtained was 24? Possible answers: a)2.27 b)2.25 c)2.32 d)2.30 Click here to see answer by stanbon(57415)

 Question 206350: In one roll of two number cubes, what is the probability that the sum of the faces is 11? Click here to see answer by stanbon(57415)

 Question 206358: In Dallas, some fire trucks were painted yellow (instead of red) to heighten their visibility. During a test period, the fleet of red fire trucks made 153,348 runs and had 20 accidents, while the fleet of yellow fire trucks made 135,035 runs and had 4 accidents. At α = .01, did the yellow fire trucks have a significantly lower accident rate? (a) State the hypotheses. (b) State the decision rule and sketch it. (c) Find the sample proportions and z test statistic. (d) Make a decision. (e) Find the p-value and interpret it. (f ) If statistically significant, do you think the difference is large enough to be important? If so, to whom, and why? (g) Is the normality assumption fulfilled? Explain. Statistic Red Fire Trucks Yellow Fire Trucks Number of accidents x1 = 20 accidents x2 = 4 accidents Number of fire runs n1 = 153,348 runs n2 = 135,035 runs Click here to see answer by stanbon(57415)

 Question 206400: Solve the problem. Use 3.14 as an approximation for π where appropriate. At \$ 2.70 per ft3, how much will it cost to fill an ice chest with dimensions of ? 8ft. x 7and 1/2ft. x 12ft. This one has me confused on whether I am looking for the volume of what object? Click here to see answer by vleith(2825)

 Question 206150: According to Chebyshev's theorem, the proportion of values from a data set that is further than 2 standard deviations from the mean is at most-----? Click here to see answer by Edwin McCravy(8920)

 Question 206406: I am unable to solve this question. Please help me know how to solve it. A fair coin is thrown and a card is picked from a suit of 13 diamonds of well-shuffled playing cards. List the sample space. Find the probability of getting (a) A head and a red card (b) A tail and an ace, (c) A head and a picture card, (d) A tail and a card bearing a number divisible by 3, (e) A head and a queen of heart. Click here to see answer by stanbon(57415)

 Question 206399: What is the expected value of one of 700 tickets in a raffle for a prize of \$ 1400? Click here to see answer by stanbon(57415)

 Question 206390: Find the probability. In one town, 35% of households have a cat, 23% of households have a dog, and 7% have both. What is the probability that a household has a dog if you know that it has a cat? Click here to see answer by stanbon(57415)

 Question 206540: Backyard Retreats, Inc, sells an exclusive line of pools, hot tubs, and spas. It is located just off the Bee Line Expressway in Orlando, Florida. The owner reports 20% of the customers entering the store will make a purchase of at least \$50. Suppose 15 customers enter the store before 10am on a particular Saturday a) How many of these customers would you expect to make a purchase of at least \$50? b) What is the probability exactly five of these customers make a purchase of at least \$50? c) What is the probability at least five of these customers make a purchase of at least \$50? d) What is the probability at least one customers make a purchase of at least \$50? Click here to see answer by stanbon(57415)

 Question 206670: A card chosen at random from a standard deck is not an 8 or an ace. Click here to see answer by dyakobovitch(40)

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