# 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 199047: Ed works for a company that deliveers telephone books. He is paid \$7.55 per hour for the first 8 hours. For every additional hour, he is paid \$10.23 per hour. He is also paid 31 cents per mile of gas. On his last trip, Ed drove 43 miles and worked 17 hours. How much did he make on his last trip? Click here to see answer by sunsunny3235(5)

 Question 199163: There are only three flavors of gumdrops in a jar containing 40 gumdrops. There are 3 times as many cherry gumdrops as lemon gumdrops. There are 4 more than twice as many orange gumdrops as lemon gumdrops. a)How many gumdrops of each flavor are there in the jar?(only an algebraic solution will be accepted.) b)Two gumdrops are drawn at random without replacement.Find the probability that both are the same flavor. Click here to see answer by rfer(12654)

 Question 199183: Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At α = .01, is the degree of certainty independent of credits earned? Click here to see answer by stanbon(57282)

 Question 199192: Please help me with this question A tank of 3500 fish have a mean of 1.2kg with a standard deviation of 0.225 kg. Determine the number of these that will be: A) More than 1.2kg B) Less than 0.75kg Regards coolboy431 Click here to see answer by stanbon(57282)

 Question 199265: There are 4 math books, 3 english books, and 6 science books. If selected randomly what is the probablilty that 1 science book and 2 math books are selected? Click here to see answer by rfer(12654)

 Question 199510: Suppose you arrive at a bus stop randomly, so all arrival times are equally likely. The bus arrives regularly every 30 minutes without delay, (say on the hour, every half-hour). What is the expected value of your waiting time? Click here to see answer by Edwin McCravy(8893)

 Question 199498: i've tried answering this, but i don't know where to start. The probablity that a door-to door salesman convinces a customer to buy is 0.65. Assume that the sales are independent find the probability that the salesman makes a sale before reaching the fifth house. Click here to see answer by solver91311(16872)

 Question 199497: For married couples, the probability that the husband passed his driving test is 7/10 , and the probability that the wife passed her driving test is 1/2. the probability that the husband passed the test given that the wife has passed the test is 14/15. for a randomly chosen maried couple, find the probability that : a) husband passed the test given that the wife did not pass the test b) only one of them passed the driving test Click here to see answer by rfer(12654)

 Question 199492: The amount of income spent on housing is an important component of the cost of iving. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). An economist selected a sample of 20 homeowners in New England and then calculated these total housing costs as a percent of monthly income, five years ago and now. The information is reported below. Is it reasonable to conclude the percent is less now than five years ago? Click here to see answer by rfer(12654)

 Question 199496: events A AND B are such that P(A)= 0.03 and P(B)= 0.6.if events A and B are independent, find the probability that : a)neither event A nor B b) event A occurs given only one event occur. i think it means that if B doesn't exist? Click here to see answer by stanbon(57282)
 Question 199496: events A AND B are such that P(A)= 0.03 and P(B)= 0.6.if events A and B are independent, find the probability that : a)neither event A nor B b) event A occurs given only one event occur. i think it means that if B doesn't exist? Click here to see answer by nellyothman(2)

 Question 199457: The computer systems department has eight faculty, six of whom are tenured. Dr Vonder, the cahirman, wants to establish a committee of three department faculty members to review the curriculum. If she selects the committe at random: a) What is the probability all members of the committe are tenured b) What is the probability that at least one member is not tenured? (Use the compliment rule) Click here to see answer by stanbon(57282)

 Question 199456: A population consists of 15 items, 10 of which are acceptable. In a sample of 4 items, what is the probability that exactly three are acceptable? Assume the samples are drawn without replacement. Click here to see answer by stanbon(57282)

 Question 199603: The amount of income spent on housing is an important component of the cost of iving. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). An economist selected a sample of 20 homeowners in New England and then calculated these total housing costs as a percent of monthly income, five years ago and now. The information is reported below. Is it reasonable to conclude the percent is less now than five years ago?: The amount of income spent on housing is an important component of the cost of iving. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). An economist selected a sample of 20 homeowners in New England and then calculated these total housing costs as a percent of monthly income, five years ago and now. The information is reported below. Is it reasonable to conclude the percent is less now than five years ago? Homeowner Five Years Age Now 1 17% 10 2 20 39 3 29 37 4 43 27 5 36 12 6 43 41 7 45 24 8 19 26 9 49 28 10 49 26 11 35 32 12 16 32 13 23 21 14 33 12 15 44 40 16 44 42 17 28 22 18 29 19 19 39 35 20 22 12 Click here to see answer by rfer(12654)

 Question 199673: This is my last question please please help I'm not good in math with word problems. A couple plan to have exactly four children. (a) Construct a tree diagram and list the sample space. (b) Find the probability that the family has at least three boys. Click here to see answer by jim_thompson5910(28536)

 Question 199698: (2 pts) How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview? Click here to see answer by stanbon(57282)

 Question 199697: (3 pts) A license plate is to consist of three letters followed by two digits. How many different license plates are possible if the first letter must be a vowel (a, e, i, o, u), and repetition of letters is not permitted, but repetition of digits is permitted? (3 pts) The results of a survey for an airline are shown below Traveler Male Female Total Business 47 72 119 Vacation 71 64 135 Total 118 136 254 Use the chart to find the probability that the traveler was male on vacation given the traveler was female male given the traveler was on vacation (2 pts) In how many ways can 6 instructors be assigned to six sections of a course in mathematics? (4 pts) At an annual flower show, 7 different entries are to be arranged in a row. a) How many different arrangements of the entries are possible? b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of \$100, \$50, and \$25 respectively, how many ways can the prizes be awarded? Click here to see answer by stanbon(57282)

 Question 199685: From a group of 6 men and 4 women, a committee of 3 is to be selected at random. find Probability of at least 2 women to be selected for the committee. Please list the equation with the formula below, I don't understand how to work the other explanation P(at least 2 women) = P(2 women) + P(3 women) Thank you! this probability is really hard to understand, thanks for your help :) Click here to see answer by scott8148(6628)

 Question 199708: find the probability of the given event: Being dealt 5 cards from a standard 52-card deck, and the cards are a 10, jack, queen, king, and ace, all of the same suit. Click here to see answer by rfer(12654)
 Question 199708: find the probability of the given event: Being dealt 5 cards from a standard 52-card deck, and the cards are a 10, jack, queen, king, and ace, all of the same suit. Click here to see answer by solver91311(16872)

 Question 199709: find the probability of the given event: Being dealt 5 cards from a standard 52-card deck and getting a four of a kind, (for example, four aces). Click here to see answer by solver91311(16872)

 Question 199711: Suppose that 2000 people are all playing a game for which the chance of winning is 48%. a. Assuming everyone plays exactly five games, what is the probability of one person winning five games in a row? On average, how many of the 2000 people could be expected to have a "hot streak" of five games? b. Assuming everyone plays exactly ten games, what is the probability of one person winning ten games in a row? On average, how many of the 2000 people could be expected to have a "hot streak" of ten games? Click here to see answer by edjones(7569)

 Question 199736: A certain type of seed has a probability of 0.8 of germinating. In a package of 100 seeds, what is the probability that at least 75% will germinate? Click here to see answer by jerrybassmasta(14)

 Question 199781: Find the five-number summary of the following set of numbers. 0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27 Click here to see answer by jim_thompson5910(28536)

 Question 199729: In the past, schools in Los Angeles County have closed an average of three days each year for weather emergencies. What is the probability that schools in Los Angeles County will close for four-days next year. Click here to see answer by edjones(7569)

 Question 199873: Hi, I need some help with a homework assignment, I want to add the populations (Ca & Pa) together then P(E)= # of outcomes that are favorable / total # of outcomes. Researchers find that the 2004 population of California was 35,893,799, the 2004 population of Pennsylvania was 12,406,292, and the total US population was 293,655,404. What is the probability that a randomly selected US resident did not live in California? Round to the nearest thousandth of a percent. Any help is welcome. Val Click here to see answer by jim_thompson5910(28536)

 Question 199869: My teacher still said this problem is wrong. please help. Two balls are to be selected without replacement from a bag containing one red, one blue, one green, and one yellow ball. How many points are there in the sample space? Click here to see answer by jim_thompson5910(28536)

 Question 199871: help is on the way miss this one two please help .. A man has 7 pairs of pants, 9 shirts, and 4 ties. How many different outfits can he wear? Click here to see answer by jim_thompson5910(28536)

 Question 199863: I missed this one on my quiz yetersday can someone please help me I went wrong so where. ASAP!!!!!!!!!!!!!!!!! A jar contains 4 yellow marbles, 12 green marbles, and 11 black marbles. If one marble is selected at random, what is the probability that it is not yellow? thank you Terrie Click here to see answer by jim_thompson5910(28536)

 Question 199922: If on an average it rains on 5 days in every thirty days, then find the probability that it rains exactly on 3 days of a given week. Choices are: A. 7^C3 · (16)7 B. 7^C3 · (56)3 · (16)4 C. 7^C3 · (16)3 · (56)4 D. 7^C3 · (56)7 Click here to see answer by user_dude2008(1861)

 Question 199933: Sixty percent of the customers of a fast food chain order a hamburger, french fries and a drink. If a random sample of 15 cash register receipts is selected, what is the probability that 10 or more will show that the above three food items were ordered? Click here to see answer by edjones(7569)

 Question 200006: a card is selected from a deck of 52 playing cards. Find the proability of selecting a. a seven given the card is a not a face card. (an ace is not a face card) b. a spade given the card is red Click here to see answer by edjones(7569)

 Question 200100: A specific brand of bike comes in two frames, for males or females. Each frame comes in a choice of three colors, red, white and blue, and with a choice of three seats, soft, medium, and hard. a) Use the counting principal to determine the number of different arrangements of bicycles that are possible. b) Construct a tree diagram illustrating all the different arrangements of bicycles that are possible. c) List the sample space. Thank you for your help, I'm about to give up! Click here to see answer by edjones(7569)

 Question 200169: if you have a bag with 7-red marbles and 6-green marbles and pull out two marbles what is the probability that they will both be red? what would be the probability if you placed the first marble into the bag before drawing the second? Click here to see answer by vleith(2825)

 Question 200101: During the last hour, a telemarketer dials 25 numbers and reached 7 busy signals, 3 answering machines, and 15 people. Use this information to determine the empirical probability that the next call will be answered in person. Click here to see answer by checkley77(12569)

 Question 200200: You guy's told me to resubmitt this problem thank you so much T-Aun The results of a survey for an airline are shown below Traveler Male Female Total Business 47 72 119 Vacation 71 64 135 Total 118 136 254 Use the chart to find the probability that the traveler was a) male b) on vacation given the traveler was female c) male given the traveler was on vacation Click here to see answer by jim_thompson5910(28536)

 Question 200256: How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 15 applicants for an interview? Click here to see answer by checkley77(12569)

 Question 200287: what is the probability of drawing a king or black card from a deck of cards ? Click here to see answer by jim_thompson5910(28536)

 Question 200319: A sample of 20 pages was taken without replacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millimeters) are shown below: 0 260 356 403 536 0 268 369 428 536 268 396 469 536 162 338 403 536 536 130 (a) Construct a 95 percent confidence interval for the true mean. (b) Why might normality be an issue here? (c) What sample size would be needed to obtain an error of ±10 square millimeters with 99 percent confidence? (d) If this is not a reasonable requirement, suggest one that is. Click here to see answer by jim_thompson5910(28536)

 Question 200333: Two cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that both are spades if the ﬁrst card drawn was a spade? Click here to see answer by solver91311(16872)

 Question 200336: A box contains two black balls and three gold balls. Two balls are randomly drawn in succession from the box. a. If there is no replacement, what is the probability that both balls are black? I thought it would be 2/5 + 1/4 = 9/20 or .45 I was not sure if this was the correct answer. b. If there is replacement before the second draw, what is the probability that both balls are black? I thought it would be 2/5 + 2/5 = 4/5 or .80 but I was not sure if this was the correct answer Click here to see answer by jim_thompson5910(28536)

 Question 200335: A pair of dice are rolled and the sum on their upturned faces is recorded. What is the probability that the sum showing is 8, given that one die is showing a 5? I thought it would be 1/6 because there are 6 sides of the dice and it would have to land on a 3 in order for the sum to be 8 Click here to see answer by solver91311(16872)

 Question 200561: Image: A spinner cut into 8 pie shapes,there are two 4s,three 2s,two 1s,& one 3. think about spinning this spinner, which is divided into 8 equal segments. Give the probability in simplest form. P(1 or 4) = _____ Click here to see answer by rfer(12654)

 Question 200560: Image: A spinner cut into 8 pie shapes,there are two 4s,three 2s,two 1s,& one 3. think about spinning this spinner, which is divided into 8 equal segments. Give the probability in simplest form. P(not 1) = _____ Click here to see answer by rfer(12654)

 Question 200562: Image: A spinner cut into 8 pie shapes,there are two 4s,three 2s,two 1s,& one 3. think about spinning this spinner, which is divided into 8 equal segments. Give the probability in simplest form. P(2 or 3) = _____ Click here to see answer by rfer(12654)

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