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

Algebra ->  Probability-and-statistics -> Questions on Algebra: Probability and statistics answered by real tutors!      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Mathway solves algebra homework problems with step-by-step help!

 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Question 274686: sam has a bag with 2 red, 7 yellow, and 5 blue marbles in it. if he pulls out 3 marbles, what is the probability that at least one of them is blue? 5/14 x 5/13 x 5/12 = 125/2184 Click here to see answer by stanbon(60771)
 Question 274686: sam has a bag with 2 red, 7 yellow, and 5 blue marbles in it. if he pulls out 3 marbles, what is the probability that at least one of them is blue? 5/14 x 5/13 x 5/12 = 125/2184 Click here to see answer by scott8148(6628)

 Question 274755: Jane works in sales for Sammy’s Sandals, going door-to-door in retirement communities in Florida. On average, she closes 5 sales per day (meaning she sells 5 pairs of sandals per day). What is the probability of Jane making more than 12 sales in a day? Show your work. Click here to see answer by stanbon(60771)

 Question 274829: A shaded circle is inside a square with two sides measuring 2", one on the side and one on the bottom. Find the probability that an object landing randomly on the figure will land in the shaded circle. Express the probability as a percent? Click here to see answer by dabanfield(803)

 Question 274826: A jar contains 9 blue marbles, 6 green marbles, and 12 red marbles. How many blue marbles must be added so that the probability of choosing a blue marble at random is 3/5 ? a 3 b 12 c 16 d 18 Click here to see answer by checkley77(12569)
 Question 274826: A jar contains 9 blue marbles, 6 green marbles, and 12 red marbles. How many blue marbles must be added so that the probability of choosing a blue marble at random is 3/5 ? a 3 b 12 c 16 d 18 Click here to see answer by dabanfield(803)

 Question 274819: Please help me solve this problem An automobile manufacturer has six colors available for automobile exteriors and four for interiors. How many different color combinations can he produce? Click here to see answer by checkley77(12569)

 Question 274822: Please help me solve this problem The STAT 230 class has 34 students. What is the probability that at least 2 students have the same birthday? Click here to see answer by dabanfield(803)

 Question 274866: I've been struggling with the following problem: A health club with a membership of 650 people operates a running track and an indoor swimming pool. A survey of the membership indicates that 68% use the running track, 44% use the swimming pool, and 8% use neither. If a member is chosen at random, a. what is the probability that the member uses both the track and the pool? b. what is the probability that the member uses only the track? Here's my work on section A, I don't know if it is correct? P(T∩P) = P(T) * P(P) = (44/100) * (68/100) = 2992/10000 = .2992 = 30% Thank you, Anrea Click here to see answer by scott8148(6628)

 Question 274895: A delivery route must include stops at three cities. If the route is randomly selected, find the probability that the cities will be arranged in alphabetical order. Round your answer to three decimal places. Click here to see answer by edjones(7794)

 Question 274893: If a couple plans to have 10 children how many gender sequences are possible? Click here to see answer by user_dude2008(1861)

 Question 274894: Nine quests are invited for dinner. How many ways can they be seated at a table if the table is straight with seats on one side? Click here to see answer by edjones(7794)

 Question 274892: A basketball player makes free throws 88% of the time. Find the probability that he misses his first shot and makes the second shot? Click here to see answer by edjones(7794)

 Question 274820: Please help me solve this problem The door on the computer center has a lock which has six buttons numbered from 1 to 6. The combination of numbers that opens the lock is a sequence of four numbers and is reset every week. (a)How many combinations are possible if a button can only be used once? (b)How many combinations are possible if there is no restriction on the number of times a button can be used? Click here to see answer by checkley77(12569)

 Question 274944: find the number of possible licdense plate numbers (with no letters or digits excluded) for 6 digits and 2 letters followed by 3 digits. Click here to see answer by Alan3354(34677)

 Question 274961: A brown paper bag contained 10 cubes, colored either red or yellow. Each of 25 students selected a cube from the bag without looking, recorded the color, and replaced the cube. 13 students picked a red cube and 12 students picked a yellow cube. Click here to see answer by Alan3354(34677)

 Question 275115: A shaded circle is inside a square with one side of the square measuring 2" and the bottom side of the square measuring 2". FIND THE PROBABILITY THAT AN OBJECT LANDING RANDOMLY ON THE FIGURE WILL LAND IN THE SHADED CIRCLE. " EXPRESS THE PROBABILITY AS A PERCENT. Click here to see answer by Earlsdon(6294)

 Question 275134: Two dice are rolled. What are the odds in favor of a sum less than 5? Click here to see answer by edjones(7794)

 Question 275131: Five women live together in an apartment. Two have blue eyes. If two of the women are chosen at random, what is the probability that they both have blue eyes? Click here to see answer by edjones(7794)

 Question 275128: 7. A box contains five colored balls and four white balls. If three balls are drawn one-by-one, find the probability that they are all white if the draws are made as follows: a. With replacement b. Without replacement Click here to see answer by edjones(7794)

 Question 275086: Eight people compete in a downhill ski race. Assuming there are no ties, in how many different orders can the skiers finish? Click here to see answer by stanbon(60771)

 Question 275194: how do you find the probability of 1 and 40 Click here to see answer by checkley77(12569)

 Question 275272: A group of bowlers showed that theri average score was 192 with a standard deviation of 8. Construct a 95% interval for the population mean. Click here to see answer by stanbon(60771)

 Question 275274: A sample of 15 randomly selected students has a grade point average of 2.86 with a deviation of 0.78. Construct a 90% confidence interval for the population mean. Click here to see answer by stanbon(60771)

 Question 275334: using the z table, find the critical value or values for a=.018 left-tailed test Click here to see answer by stanbon(60771)

 Question 275340: Two shaded circles are inside a rectangle that has one side that is 2" and the bottom side is 4". What is the probability that an object landing randomly on the figure will land in the shaded area. EXPRESS THE PROBABILTY AS A PERCENT. Click here to see answer by stanbon(60771)

 Question 275355: A box contains five blue, eight green, and three yellow marbles. If a marble is slected at random, what is the probability that it is not blue? Click here to see answer by lindseylls(1)

 Question 275397: A fair die is rolled. What is the probability of observing an even number on the face that lands up? (Reduce your answer to lowest terms as a fraction Click here to see answer by edjones(7794)

 Question 275386: In a homicide case 3 different witnesses picked the same man from a line up. The line up contained 5 men. If the identifications were made by random guesses, find the probability that all 3 witnesses would pick the same person. Click here to see answer by rfer(13569)

 Question 275401: Using the 68-95-99.7 rule: Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68-95-99.7 rule to find the following quantities: Suggest you make a drawing and label first… a. Percentage of scores less than 100 b. Relative frequency of scores less than 120 c. Percentage of scores less than 140 d. Percentage of scores less than 80 e. Relative frequency of scores less than 60 f. Percentage of scores greater than 120 Click here to see answer by stanbon(60771)

 Question 275446: The basket contains 30 apples,20 pears, and 10 peaches. What is the probability that the first piece of fruit taken from the basket will be a peach? Click here to see answer by edjones(7794)

 Question 275441: an unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer. Click here to see answer by edjones(7794)

 Question 275485: A bag contains 20 M&M's; 5 are blue, 9 are red, and 6 are yellow a) If 2 M&M's are randomly selected without replacement, what is the probability both are blue? For this, I tried: P (2 blue) = (5/20)(4/19) b) If 2 M&Ms are randomly selected without replacement, what is the probability at least 1 is blue? For this, i tried: P (at least 1 is blue) 1- P (none blue) = 1-(15/20) Click here to see answer by edjones(7794)

 Question 275509: There are 6 people running the 100 meter dash. How many different orders can the runners finish? Click here to see answer by Theo(3556)

 Question 275515: If you draw 4 cards from a standard deck (52 cards), what is the probability that you get a two, a four, a six, and an eight (in any order)? Click here to see answer by Theo(3556)

 Question 275558: The average age of a vehicle registered in the United States is 8 years, or 96 months. Assume the standard deviation is 16 months. If a random sample of 36 vehicles is selected, find the probability that the mean of their age is between 90 and 100 months. Click here to see answer by stanbon(60771)

 Question 275699: Find the mean, variance, and standard deviation of n=80, p=0.3? Click here to see answer by stanbon(60771)

 Question 274781: a bag contains 6 green,5 yellow and 7 white balls are drawn at random from the box.find the probability that among the balls drawn there is one ball of each colour Click here to see answer by CARTER MASON(2)
 Question 274781: a bag contains 6 green,5 yellow and 7 white balls are drawn at random from the box.find the probability that among the balls drawn there is one ball of each colour Click here to see answer by Alan3354(34677)

 Question 275782: Two shaded circles are inside a rectangle that has one side that is 2" and the bottom side is 4". What is the probibilty of an object landing randomly on the figure in the shaded circle. " Express the probability as a percent." Click here to see answer by solver91311(18785)

 Question 275790: on a 10 question multiple choice test, each question has 1 correct response and three that are incorrect. If at random, a student circles an answer for each question: a) What is the probability that she will get the first three and last two right? 1/4 x 1/4 x 1/4 x 3/4 x 3/4 x 3/4 x 3/4 x 3/4 x 1/4 x 1/4 = b) What is the probabilty that she will get any 5 right? Let: Let: n(S)= and Click here to see answer by stanbon(60771)

 Question 275904: the probability is 1 in 4,000,000 that a single auto trip in the U.S. will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. What is the probability of a fatal accident over a lifetime? Click here to see answer by edjones(7794)

 Question 275906: For a particular sample of 50 scores on apsychology exam,the following results were obtained. First quartile=42 third quartile=74 Standard devation=8 range =56 Mean =58 Median=57 Mode=68 Midrange=61 WHat score was earned by more students than any other score?Why? what was the highest score earned on the exam? What was the lowest score earned on the exam? According to Chebyshev's therorem,how many students scored between 42 and 74? Assume that the distribution is normal.Based on the Empirical Rule, How many students scored between 42 and 74 Click here to see answer by stanbon(60771)

 Question 275880: 59. In 1991, students from countries around the world took the International Assessment of Educational Progress test. The following table gives the average mathematics scores for 15 countries, along with the number of days that students in each country spend in school each year. (a) Make a conjecture about the relationship between the World Almanac Books, 2002. country’s mathematics score and the number of days spent in school. (b) Test your conjecture by using a box plot to compare students who spend 190 days or fewer in school with those who spend more than 190 days in school. (c) Explain how your graph supports or disproves your conjecture. Country Days of School Math Score Canada 188 62 France 174 64 Hungary 177 68 Ireland 173 61 Israel 215 63 Italy 204 64 Jordan 191 40 Korea 222 73 Scotland 191 61 Slovenia 190 57 Soviet Union 198 70 Spain 188 55 Switzerland 207 71 Taiwan 222 73 United States 178 55 (d) Draw a scatterplot for the data and see if there seems to be a correlation between mathematics scores and days in school. Is this the same message your box plot gave you? Which plot would you use to support your conjecture Click here to see answer by stanbon(60771)

 Question 275878: in a class of 147 students, 95 are taking math(M) 73 are taking science(S), and 52 are taking both math ans science. one student is picked at random. find p(taking math science or both) and p( not taking math). any help would be great but i would like to understand how to work the problem. if you could give a short explaination( i know thats not spelled right) it would be greatly appreciated. Click here to see answer by stanbon(60771)