# 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 202313: Standard normal probabilities Standard normal probabilities Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places. P (Z > -1.58)= P (Z ≤ - 1.55)= P (0.60 < Z < 1.52)= Click here to see answer by stanbon(57395)

 Question 202386: From experience, a battery manufacturer knows the probability of a battery being defective is .08. If a retail customer buys four batteries, what is the probability that none of the batteries are defective? Click here to see answer by solver91311(16897)

 Question 202431: Fred’s Widget Company wants to make sure his widgets are within the weight tolerances he advertises on the radio. He says the weight of his widgets is 15 pounds. He samples 49 of his widgets and finds the mean weight of the widgets to be 14.5 with a standard deviation of 1.2 pounds. Based on this information, construct the 95 percent confidence interval for the sample. Click here to see answer by stanbon(57395)

 Question 202488: Can someone PLEASE help me with these? Thank You. :) 1) A person is wearing a bracelet with 11 settings around the bracelet. How many different ways can 11 birthstones be arranged around the bracelet? Leave the answer in factorial form. 2) How many subsets of four elements each exist in a set of seven elements? 3) How many different groups of 35 cars can be formed from 40 cars? 4) How many different ways can an executive committee of nine people sit at a round table? 5) What is the probability of not drawing a green marble from a jar containing 7 red, 4 green, 3 white, and 9 blue marbles? 6) A compound experiment consists of drawing at random twice without replacing from a jar with 3 red, 3 white, and 2 black marbles. What is the probability of getting first a red and then a black marble? Thanks again, ~Sarah Click here to see answer by Theo(3464)

 Question 202534: the mean can always be taken for qualitative data Click here to see answer by solver91311(16897)

 Question 202518: Drawing a heart and a diamond in that order in 2 consecutive draws when the first card is returned to the deck and the deck is shuffled after the fist draw. My Answer: 13/52*13/52=169/2704=1/16 Click here to see answer by rfer(12670)

 Question 202542: Does anyone know this answer? Please! Indicate the formula for the following conditions. P(X | Y) = Thank You, Sarah Click here to see answer by jim_thompson5910(28598)

 Question 202536: if two populations have equal sizes and equal median incomes, their total incomes are equal true or false? Click here to see answer by rfer(12670)
 Question 202536: if two populations have equal sizes and equal median incomes, their total incomes are equal true or false? Click here to see answer by solver91311(16897)

 Question 202520: Drawing a heart and a diamond in any order in 2 consecutive draws when the first card is returned to the deck and the deck is shuffled after the first draw. My Answer: 26/52*13/52=338/2704=1/8 Click here to see answer by rfer(12670)

 Question 202521: Drawing a heart and a diamond in any order in 2 consecutive draws, when the 1st card is not returned to the deck after the 1st draw. My Answer: 26/52+13/51=1326/2652+676/2652=2002/2652=1001/1326 Click here to see answer by rfer(12670)
 Question 202521: Drawing a heart and a diamond in any order in 2 consecutive draws, when the 1st card is not returned to the deck after the 1st draw. My Answer: 26/52+13/51=1326/2652+676/2652=2002/2652=1001/1326 Click here to see answer by jim_thompson5910(28598)

 Question 202517: Dawing at least 1 spade in a series of 4 consecutive draws when the card is returned to the deck after each draw and the deck is reshuffled. What has confused me is that we only need to get 1 spade in 4 draws. Click here to see answer by stanbon(57395)

 Question 202511: Can someone PLEASE help me with these? 1) Indicate the formula for the following conditions. P(X | Y) = __________ 2) 2, 3, 6, 8, . . . is an example of an infinite alternating series. True or False 3) 3, 9, 12, 15 . . . is an example of an infinite arithmetic series. True or False 4) Type the general term for the following sequence. 3, 9, 27, 81, 243, . . . ________ 5) Type the general term for the following sequence. 3/4, 6/5, 9/6, 12/7, 15/8... __________ 6) Identify the following series as arithmetic, geometric, both, or neither. 2x + 2x^2 + 2x^3 + 2x^4 + . . . + 2x^n + . . . ____________ 7) Identify the following series as arithmetic, geometric, both, or neither. The sideways M with a sideways 8 above it, n=1 under it and (3+na) next to it. __________ 8) Identify the following series as arithmetic, geometric, both, or neither. -1 + 3 + 1 + 3 -1 + . . . ____________ 9) Evaluate the following expression. P(3,3) = ______ 10) Evaluate the following expression. C(3,3) = ______ 11) Evaluate the following expression. C(6,3) = _______ 12) Evaluate the following expression. P^c(5,5) = ________ 13) Evaluate the following expression. 3!+0! / 2!*1! = _______ Thank You, Sarah Click here to see answer by stanbon(57395)

 Question 202569: there is a jar with 10 nickels and 5 dimes. if two coins are chosen at random what is the probability of choosing first a nickel and then a dime? Click here to see answer by rfer(12670)

 Question 202568: jared has collected 30 contest game pieces. of those 4 were winning peices. What arre the odds against winning a prize? Click here to see answer by rfer(12670)

 Question 202590: A license plate must have one letter (not I or O) followed by four digits followed by a defferent letter from the first letter (not I or O). How many possible license plates are there? Click here to see answer by solver91311(16897)

 Question 202591: In an effort to reduce the number of bottles that contain less than 1.90 liters, the bottler sets the filling machine so the mean is 2.02 liters. Under these circumstances, please answer below. a. Between 1.90 and 2.0 liters b. Between 1.90 and 2.10 liters c. Below 1.90 liters or above 2.10 liters d. 99% of the bottles contain at least how much soft drink? e. 99% of the bottles contain an amount that is between which two values (symmetrically distributed) around the mean Click here to see answer by solver91311(16897)

 Question 202575: According to Investment Digest ("Diversification and the Risk/Reward Relationship", Winter 1994, 1-3), the mean of the annual return for common stocks from 1926 to 1992 was 12.4%, and the standard deviation of the annual return was 20.6%. The article claims that the distributions of annual returns for both common stocks is approximately bell-shaped and symmetric.. Assume that the distribution is normally distributed with a mean and standard deviation given above. Find the probability that the return for common stocks will be a. Greater than 0% b. Greater than 10% c. Greater than 20% d. Less than -10% Click here to see answer by stanbon(57395)

 Question 202573: In an effort to reduce the number of bottles that contain less than 1.90 liters, the bottler sets the filling machine so the mean is 2.02 liters. Under these circumstances, please answer below. a. Between 1.90 and 2.0 liters b. Between 1.90 and 2.10 liters c. Below 1.90 liters or above 2.10 liters d. 99% of the bottles contain at least how much soft drink? e. 99% of the bottles contain an amount that is between which two values (symmetrically distributed) around the mean Click here to see answer by stanbon(57395)

 Question 202540: the population deviation is resistant true or false? Click here to see answer by stanbon(57395)

 Question 202537: the interquartile range irq is the best measure of variation when data distribution is skewed right true or false? Click here to see answer by stanbon(57395)

 Question 202628: Reposting again with proper data - Thanks... In an effort to reduce the number of bottles that contain less than 1.90 liters, the bottler sets the filling machine so the mean is 2.02 liters and a standard deviation of 0.05 liters. Under these circumstances, please answer below. a. Between 1.90 and 2.0 liters b. Between 1.90 and 2.10 liters 1) 0.5464 c. Below 1.90 liters or above 2.10 liters 1) d. 99% of the bottles contain at least how much soft drink? e. 99% of the bottles contain an amount that is between which two values (symmetrically distributed) around the mean Click here to see answer by stanbon(57395)

 Question 202644: Can anyone help me with these??? Please! 1) A person is wearing a bracelet with 12 settings around the bracelet. How many different ways can 12 birthstones be arranged around the bracelet? Leave the answer in factorial form. _______ 2) How many subsets of three elements each exist in a set of six elements? _______ 3) How many different groups of 48 cars can be formed from 50 cars? _______ 4) How many different ways can an executive committee of eight people sit at a round table? _______ 5) What is the probability of not drawing a green marble from a jar containing 7 red, 4 green, 3 white, and 9 blue marbles? _______ Thanks for everything! ~Sarah~ Click here to see answer by stanbon(57395)

 Question 202631: In a study of how managers attempt to manage earnings, researchers analyzed a sample of 515 earnings-management attempts from a survey of experienced auditors. The frequency of effects is summarized in the table shown. Research question: At a=.01, is the effect on earnings independent of the approach used? Data are from Mark A. Nelson, John A. Elliott, and Robin L. Tarpley, "How are Earnings Managed? Examples from Auditors," Accounting Horizons, Supplement, 2003, pp.17-35 Click here to see answer by stanbon(57395)

 Question 202781: Three cards are drawn from an ordinary deck without replacement. Whats the probability of getting all queens? Click here to see answer by jsmallt9(3296)

 Question 202887: If each lottery has only one winning ticket, and you buy one ticket to each of the two lotteries, what is the probability that you will have at least one winning ticket? INFORMATION THAT MIGHT BE IMPORTANT IN ORDER TO SOLVE THIS QUESTION There are two little lotteries in town, each of which sells exactly 100 tickets. Click here to see answer by stanbon(57395)

 Question 202886: If each lottery has only one winning ticket, and you buy two tickets to the "Same" lottery, what is the probability that you will have a winning ticket? Click here to see answer by stanbon(57395)

 Question 202971: X- and y-intercepts of a line given the equation in standard form. Find both the x-intercept and the y-intercept of the line given by the equation 1.8x-9.4y-6.6 =0 Round your answers to decimal places. x-intercepts:___ y-intercepts:___ Click here to see answer by solver91311(16897)

 Question 202975: Determining null and alternative hypotheses A toy manufacturer claims that the mean time that its top-selling toy captures children's attention is at least 45 minutes. Suppose that we doubt this claim and we carry out a hypothesis test to see if we can refute the claim. State the null hypothesis Ho and the alternative hypothesis H1 that we would use for this test. Ho :___ H1 :___ Click here to see answer by stanbon(57395)

 Question 202966: Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places. P (Z > - 1.26) = P (Z ≤ - 1.71) = P (1.24 < Z < 1.71 = Click here to see answer by stanbon(57395)

 Question 202959: (Info needed to solve the question, There are two little lotteries in town, each of which sells exactly 100 tickets. State the rule that you used to solve this problem). Question: If each lottery has two winning tickets, and you buy two tickets to the same lottery, what is the probability that you will have at least one winning ticket? Click here to see answer by rfer(12670)

 Question 199264: 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 in the jar? (only an algebraic solution will be accepted) b)Two gumdrops are drawn at random without replacemnt. Find the probability that both are the same flavor. Click here to see answer by rfer(12670)

 Question 203046: If two numbers are randomly chosen without replacement from {1, 2, 3, 4, 5}, what is the probability their sum is greater than their product? Express your answer as a common fraction. Click here to see answer by jsmallt9(3296)

 Question 203019: A market study taken at a local sporting goods store showed that of 30 people questioned, 18 owned tents, 15 owned sleeping bags, 14 owned camping stoves, 6 owned both tents and camping stoves, and 10 owned both sleeping bags and camping stoves. If four people questioned owned a tent, a sleeping bag, and a camping stove, then up to how many can own only a camping stove? Click here to see answer by rfer(12670)

 Question 203178: Given: A= {1,3, 5, 7} B= {c, d} S= {x e I 0 < x <10 } u {x x is a letter of the word dice} Find each of the following stes. a) A' b) B' c) A u B' d) (A u B) I am sorry I don't have all the write keys for the union and the funky looking E/ = and I don't know the correct term for it either. All I really need to know is what A' means. Thank you! Click here to see answer by solver91311(16897)

 Question 202836: a commitee is formed by randomly selecting from eight nurses and two doctors. what is the minimum commitee size that ensures at least 90% probabaility that it will be compromised of nurses only? Click here to see answer by jsmallt9(3296)

 Question 203231: Need Help with Standard Normal Probabilities Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places. P(Z> - 1.44) = P(Z ≤ - 1.55 = P(0.63 Click here to see answer by stanbon(57395)

 Question 203268: The New York Times reported (Laurie J. Flynn, “Tax Surfing,” The New York Times, March 25, 2002, C10) that the mean time to download the homepage from the internal revenue service web site www.irs.gov was 0.8 second. Suppose that the download time was normally distributed with a standard deviation of 0.2 second. If you selected at random sample of 30 download times, a) What is the probability that the sample mean is less than 0.75 second? b) What is the probability that the sample mean is between than 0.70 and 0.90 second? c) The probability is 80% that the sample mean is between what two values symmetrically distributed around the population mean? d) The probability is 80% that the sample mean is less than what value? Click here to see answer by stanbon(57395)

 Question 203204: A corporate executive officer is attempting to arrange a meeting of his three presidents for tomorrow morning. He believes that each of these three busy individuals, independently has a 60% chance of being able to attend the meeting: a. Find the probability distribution of x, the number of vice presidents who can attend the meeting b. What is the probability that none of the three vice presidents can attend the meeting? c. If the meeting will be held tomorrow morning only if everyone can attend, what is the probability that the meeting will take place at this time? d. How many of the vice presidents should the CEO expect to be available for tomorrow morning’s meeting? Click here to see answer by stanbon(57395)

 Question 203364: Please help me solve the following question. It is from a former Statistics Question paper of my university and I am unable to find the solution. Question: PART A; It is observed in a student coffee lounge that only 15% students have to wait for more than five minutes to be served. Calculate the following probabilities relating to a random sample of 6 students. 1. The probability that none of the 6 students have to wait for more than five minutes. 2. The probability that fewer than 2 students wait for more than five minutes. 3. The probability that either one or two students wait for more than five minutes. PART B: If we wish to calculate probabilities relating to 100 students a new method is needed. Suggest and explain a suitable methond and explain the term 'Continuity correction.' USE your method to calculate the following; 1. The probability that exactly 15 out of 100 wait for more than 5 minutes. 2. The probability that the number of students waiting for more than 5 minutes lies between 12 and 16. Click here to see answer by stanbon(57395)

 Question 203581: Find the total number of license plates consisting of two letters followed by three numbers (being 9 not including the 0)which are possible if: 1. Letters may not be repeated but numbers may repeat. 2. The letters must be consonant-vowel (y is a consonant) all the digits must be odd (no 0) but may repeat. ::::permutations::: How many distinct linear permutations are possible on the word PARALLEL? Click here to see answer by stanbon(57395)

 Question 203586: Farm-raised trout contain an average of grams of fat per pound, with a standard deviation of grams of fat per pound. A random sample of farm-raised trout is selected. The mean fat content for the sample is grams per pound. Find the probability of observing a sample mean of grams of fat per pound or less in a random sample of farm-raised trout Click here to see answer by stanbon(57395)

 Question 203598: suppose 2% of the people on the average are left handed.Find the probability of 3 or more left handed among 100 people. Click here to see answer by stanbon(57395)

 Question 203610: What is the probability of getting a sum of 3 when three standard dice are rolled? Express your answer as a common fraction. Click here to see answer by scott8148(6628)

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3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285