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

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Question 1150194: A certain virus infects one in every 500 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus. Let A be the event "the person is infected" and B be the event "the person tests positive."
(a) Find the probability that a person has the virus given that they have tested positive.

(b) Find the probability that a person does not have the virus given that they have tested negative.
Click here to see answer by ikleyn(52759)

Question 1150202: In a train yard there are 4 tanker cars, 12 boxcars, and 7 flatcars available for a train. In how many
ways can a train be made up consisting of 2 tanker cars, 5 boxcars, and 3 flatcars?

Click here to see answer by ikleyn(52759)

Question 1150201: A company has 8 cars and 11 trucks. The state inspector will select 3 cars and 4 trucks to be tested
for safety inspections? In how many ways can this be done?
Click here to see answer by ikleyn(52759)

Question 1150203: How many 5 card poker hands can be dealt from a standard 52 card deck?
Click here to see answer by math_helper(2461)

Question 1150199: Suppose the majority party in a foreign country must select a prime minister and secretary of state from
an eligible group of 36 party members. In how many ways can this be done?
Click here to see answer by ikleyn(52759)

Question 1150197: Your closet contains 10 different styles of shoes. In how many ways can you pick out five different styles
of shoes for the school week if you do care which day of the week you wear each style?
Click here to see answer by ikleyn(52759)

Question 1150193: Suppose a math class contains 34 students, 21 females (three of whom speak French) and 13 males (two of whom speak French). Compute the probability that a randomly selected student speaks French, given that the student is female.

Click here to see answer by ikleyn(52759)

Question 1150222: In a lottery game, a player picks six numbers from 1 to 48. If 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize?

Click here to see answer by ikleyn(52759)

Question 1150221: A jury pool consists of 30 people, 17 men and 13 women. Compute the probability that a randomly selected jury of 12 people is all male.

Click here to see answer by ikleyn(52759)

Question 1150234: f the probability that a randomly chosen college student takes statistics is 0.21, then what is the probability that a randomly chosen college student does not take statistics? Give your answer as a decimal.
Click here to see answer by ikleyn(52759)

Question 1150247: The number of hardware failure system in a week of operation has the following pmf. 5 No. of failure 0 1 2 3 4 5 6 Probability 0.18 0.28 0.25 0.18 0.06 0.04 0.01

Click here to see answer by ikleyn(52759)

Question 1150239: Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below.
calories, X Sodium, y
150 415
170 465
120 350
130 380
90 260
190 510

(a) xequals160 calories
(b) xequals100 calories
(c) xequals140 calories
(d) xequals210 calories
Click here to see answer by Theo(13342)

Question 1150200: There are 7 women and 5 men in a department. Four people are needed for a committee.
a) In how many ways can a committee of 4 people be selected?
b) In how many ways can this committee be selected if there must be exactly 2 men and 2 women on the committee?
c) In how many ways can this committee be selected if there must be at least 2 women on the committee?
Click here to see answer by VFBundy(438)

Question 1150212: Thirty percent of students at a large university are known to be short-sighted. If twenty
Students are picked at random, find the probability that at most two of them are shortsighted.
Click here to see answer by Boreal(15235)

Question 1150237: A laboratory claims that the mean sodium level, μ, of a healthy adult is 140 mEq per liter of blood. To test this claim, a random sample of 70 adult patients is evaluated. The mean sodium level for the sample is 141 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 15 mEq. Can we conclude, at the 0.01 level of significance, that the population mean adult sodium level differs from that claimed by the laboratory?

Click here to see answer by Boreal(15235)

Question 1150205: I randomly sampled 40 people from three Statistic’s classes by using the random number generator on the TI-84. Out of the sample of 50 people, 39 were brown-eyed. Is there enough evidence to conclude that the true proportion of brown-eyed people is different from 79% based on our sample?
What is the P value and test statistic ?
Click here to see answer by Boreal(15235)

Question 1149839: A soft drink company fills two-liter bottles on several different lines of production equipment. The fill volumes are normally distributed with a mean of 1.97 liters and a variance of 0.04 (liter)2.
a. Find the probability that a randomly selected two-liter bottle would contain between 1.95 liters or less.
(2 Marks)
b. Find the probability that a randomly selected two-liter bottle would contain between 2.03 liters or less.
(2 Marks)
c. Find the probability that a randomly selected two-liter bottle would contain between 1.95 and 2.03 liters.
(2 Marks)
d. If X is the fill volume of a randomly selected two-liter bottle, find the value of x for which P(X > x) = 0.3228.
(2 Marks)
e. What is the minimum volume of drink required, in liters, to meet the probability of 2.13 percent.
Click here to see answer by Boreal(15235)

Question 1150198: You are drawing a rainbow using five different colored crayons from your box of 24 colors. In how many
ways can you draw a rainbow if the first color you pick will be the top layer and so on?

Click here to see answer by Boreal(15235)

Question 1150267: A box contains 4 red, 2 white and 3 green balls. Two balls are drawn out of the box in succession without replacement. What is the probability that both balls are the same color?
Click here to see answer by Alan3354(69443)

Question 1150276: At this year's State Fair, there was a dice rolling game. If you rolled two dice and got a sum of 2 or 12, you won $10. If you rolled a 7, you won $2. Any other roll was a loss. It cost $1 to play one game with one roll of the dice. What is the expectation of the game? Round your answer to the nearest cent
Click here to see answer by greenestamps(13196)

Question 1150268: A focus group is made up of males and females. Half of the females have college degrees. A member is selected at random from the group. What is the probability that the member is a female with a college degree?
Click here to see answer by greenestamps(13196)

Question 1150294: A spinner with 10 equally sized slices is shown below. The dial is spun and stops on a slice at random. What are the odds in favor of landing on a black slice?
3 grey
3 black
4 white
Click here to see answer by greenestamps(13196)

Question 1150308: A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 12.
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 14.
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a four.
The probability of being dealt a four is
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a diamond.

Click here to see answer by ikleyn(52759)

Question 1150307: A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number less than 4.
Click here to see answer by ikleyn(52759)

Question 1150331: The probability that a patient is allergic to penicillin is .20. If this drug is given to eight patients, find the probability that each of the following is true. Round all answers to four decimal places.
a. three of the eight are allergic.
b. none of the eight are allergic.
c. at least four are allergic.
d. between two and five of the eight are allergic.
Click here to see answer by greenestamps(13196)

Question 1150310: percentage of orders filled correctly at burger king was 90.3% using binominal distribution what is the probability that 3 orders will be filled correctly out of 5 orders?
what are the mean and standard deviation of the binominal distribution for the number of orders filed correctly out of 10 orders?

Click here to see answer by jim_thompson5910(35256)

Question 1150354: Find the probability of obtaining exactly 2 heads in 4 tosses of a fair coin? This is an experiment with replacement.
Click here to see answer by ikleyn(52759)

Question 1150353: Records indicate that 30% of all students on a university campus are female. Also 20% of the females are "A" students, and 70% of the males are "A" students. If an "A" student is selected at random, what is the probability that the student is female?
Click here to see answer by ikleyn(52759)

Question 1150377: Assume that when adults with smartphones are randomly selected, 46%
use them in meetings or classes. If 6 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.
Click here to see answer by ikleyn(52759)

Question 1150369: 3. In a nationwide poll of 1,500 randomly selected U.S. residents, 77% said that they liked pizza. In a poll of 1,500 randomly selected U.S. residents one month later, 75% responded that they liked pizza.
a. Does the polling evidence support the claim that pizza declined in popularity over the month between polls? Explain why or why not.
b. Using statistical terminology, precisely identify the population parameter the two polls were attempting to measure. How does a parameter differ from a statistic?
c. Based on the two polls, what would you say to someone who guessed that the population parameter the polls are trying to measure is really only 50%?

Click here to see answer by nijneweed(6)

Question 1150368: Americans receive an average of 22 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 6. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible.
a. If an American is randomly chosen, find the probability that this American will receive no more than 24 Christmas cards this year.
b. If an American is randomly chosen, find the probability that this American will receive between 25 and 30 Christmas cards this year
c. 82% of all Americans receive at most how many Christmas cards? (whole number)
thank you!
Click here to see answer by nijneweed(6)

Question 1150397: A candy store allows customers to select 3 different candies to be packaged and mailed. If there are 13 varieties available, how many possible selections can be made?
Click here to see answer by ikleyn(52759)

Question 1150410: suppose a number cube is rolled and the outcome is 6. the cube is rolled a second time and again the ooutcome is 6. if the cube is rolled again what will be the outcome?

Click here to see answer by Alan3354(69443)

Question 1150404: If P(A | B) = 0.2, P(A) = 0.3 and P(B) = 0.4, what is P(A or B) ?
Click here to see answer by ikleyn(52759)

Question 1150401: In a particular math class, there is a 90% chance that a student will pass if they study regularly. The probability of passing if a student does not study is 30%. If 75% of the students study, what is the probability that a randomly selected student will pass the class?
Click here to see answer by ikleyn(52759)

Question 1150391: Currently Samsung ships 20.6 percent of the organic light-emitting diode (OLED) displays in the world. Let S be the event that randomly selected OLED display was made by Samsung.
find odds in favor
find odds against

Click here to see answer by ikleyn(52759)

Question 1150269: A company places a 8-symbol code on each unit of product. The code
consists of 3 letters, the first of which is a vowel followed by 5 digits, the first
and second of which are number 4 and 6. How many different codes are possible?(
Click here to see answer by Alan3354(69443)

Question 1150443: 1. An average of 2.5 accidents occur per day in a large city. Using the poisson formula, find the probability that the number of accidents that occur on a given day will be less than 3.
2. Suppose in another city the average number of accidents per day is 5.8 using the poisson table find the probability that the number of accidents on a given day will be
I. Less than 11. II. At least 3. III. At most 12.
3. The following gives the probability distribution of the number of camcorders sold on a given day at an electronic store.
Camcorders sold 0. 1. 2. 3. 4. 5. 6
Probability 0.5. .12. .19 .30. .20. .10 0.4

Click here to see answer by ikleyn(52759)

Question 1150462: Two numbers are randomly selected (with replacements) from the first 12 positive integers. What is the probability that the sum of these two numbers is 10?
Click here to see answer by greenestamps(13196)

Question 1150394: Suppose the probability of an IRS audit is 1.2 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.
(a) What are the odds that such a taxpayer will be audited? (Round your answers to the nearest whole number.)
Odds that a taxpayer will be audited
.88
to

(b) What are the odds against such a taxpayer being audited? (Round your answers to the nearest whole number.)
Odds against a taxpayer being audited
to
i cant get past the first answer i got can you please help me im racking my brain
Click here to see answer by Theo(13342)

Question 1150499: What is the probability of a toss of two dice giving a pair of identical dots?
Click here to see answer by ikleyn(52759)

Question 1150501: What is the probability of selecting a king from a suit?
Click here to see answer by Alan3354(69443)

Question 1150506: An electronics store receives a shipment of 20 graphing calculators, 8 that are defective. Four of the calculators are selected to be sent to a local high school.
(A) How many selections can be made?
(B) How many of these selections will contain no defective calculators?
Click here to see answer by ikleyn(52759)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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