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

Tutors Answer Your Questions about Probability-and-statistics (FREE)

Question 1178536: You roll a 6-sided die.

What is P(not less than 2)?
Write your answer as a fraction or whole number.

Click here to see answer by math_helper(2461)

Question 1178533: A bag of M & M s had the following colors and numbers:
12 red 6 green 10 brown 8 yellow
If you draw two of these randomly what is the probability of getting:
A. 2 greens
B. 1 red and 1 green
Explain your answers.
Click here to see answer by Boreal(15235)

Question 1178532: A card is dealt from a 52 deck. What is the probability that this card is:
A. A diamond AND a two?
B. A diamond OR a two?
Explain your answers.
Click here to see answer by Boreal(15235)

Question 1178531: Here is a table of students at various campuses:
Central North South West Total
Men 137 76 106 47 366
Women 273 141 226 91 731
Total 410 217 332 138 1,097
What is the probability that a student chosen at random is:
A. A man a south?
B. A woman at North OR Central?
C.A women given that she is at South?
D. A student at South given that she is a woman?
E.A man given that he is at North or West?
Show how you found your answers.
Click here to see answer by Boreal(15235)

Question 1178535: A jar contains 17 one dollar bills and 8 five dollar bills.
A. If you reach in and grab two bills without looking what is the probability that both are one dollar bills?
B. If your reach in and grab two bills without looking, what is the probability that you get one of each bill.
Explain your answers.
Click here to see answer by ikleyn(52752)

Question 1178539: A jar contains 17 one dollar bills and 8 five dollar bills.
A. If you reach in and grab two bills without looking what is the probability that both are one dollar bills?
B. If your reach in and grab two bills without looking, what is the probability that you get one of each bill.
Explain your answers

Click here to see answer by ikleyn(52752)

Question 1178415: A company that supplies ready-mix concrete receives, on average, six orders per
day.
(a) What is the probability that, on a given day:
(i) only one order will be received.
(ii) no more than three orders will be received.
(iii) at least three orders will be received.
(b) What is the probability that, on a given half-day, only one order will be
received?
Click here to see answer by Boreal(15235)

Question 1178541: A.) Grand prize for a lottery is choosing 6 numbers correctly out of 47 (order does not matter). What is the probability of winning this lottery?
B.) If you choose 6 numbers out of 47 and 5 are chosen correctly you win second prize. What is this probability?
Explain.
Click here to see answer by ikleyn(52752)

Question 1178543: The probability of the movie you want being at the Kroger redbox is 67% and the probability that the BlockBuster machine has the movie you want is 76 %. The probability that both have the movie is 56%.
A. What is the probability that neither machine has the movie you want?
B. What is the probability that only Rebox has the movie you want?
Explain

Click here to see answer by ikleyn(52752)

Question 1178534: Suppose at college 73% of students are girls, 42% of all stuents are AA majors and 62% of AA majors are girls.
A. What percent of all students are female AA majors?
B. What percent at male non AA majors?
Explain your answers.
Click here to see answer by ewatrrr(24785)

Question 1178542: There are 131 passengers waiting to board a plane. 74 passengers have two carry on items,48 have one carry on item and 9 have no carry on item. TSA people randomly select 3 passengers to search. Find the probability that:
A. All 3 have on carry on
B. 1 had one carry on, and 2 have two carry ons
C.1 has one carry on, 1 had two carry ons and 1 has no carry on.
Explain
Click here to see answer by ewatrrr(24785)

Question 1178507: Assuming that the daily wages for workers in a particular industry averages Birr 11.90 per day and the standard deviation is Birr 0.40. If the wages are assumed to be normally distributed, determine what percentage of workers receive wages
between Birr 10.90 and Birr 11.90
between Birr 10.80 and Birr 12.40
between Birr 12.20 and Birr 13.10
less than Birr 11.00
more than Birr 12.95
Is crime rate somehow associated with age? An investigator collected the following data from five sample groups to see the relationship between the two variables:
Average age in year (X)
70
56
35
28
14
Average crime rate (%) (Y)
28
42
35
42
48
Determine the regression line of crime rate on age and interpret it?
Estimate the % of crime rate for groups of individuals having average age 40.
Determine the coefficient of correlation and interpret it.
Out of 5 male workers and 7 female workers of a factory, a task force consisting of 5 workers is to be formed. What is the probability that the task force will consist of?
2 male and 3 female workers?
all female workers?
at least 3 male workers.
The probability that an item picked at random from the assembly line in a factory will be defective is 0.02. If a sample of 4 is to be selected, then find the probability that
One will be defective
At most one will be defective
At least one will be defective.
Calculate the mean and standard deviation for t
Click here to see answer by ikleyn(52752)

Question 1178547: The following are grades in a class:
A B C D F Total
Women 12 19 30 10 6 77
Men 10 15 28 12 8 73
Total 22 34 58 22 14 150
Find the probability that:
A.) A person scoring an A is a woman
B.) A woman scores an A
C.)A person scoring a D or F is a man
D.) A person scores a C
Explain your answers

Click here to see answer by ewatrrr(24785)

Question 1178505: 1. Auditors at a small community bank randomly sample 100 withdrawal transactions made during the week at an ATM machine located near the bank’s main branch. Over the past 2 years, the average withdrawal amount has been $50 with a standard deviation of $40. Since audit investigations are typically expensive, the auditors decide to not initiate further investigations if the mean transaction amount of the sample is between $45 and $55. What is the probability that in any given week, there will be an investigation?
2. The auditors from the above example would like to maintain the probability of investigation to 5%. Which of the following represents the minimum number transactions that they should sample if they do not want to change the thresholds of 45 and 55? Assume that the sample statistics remain unchanged.

Click here to see answer by Boreal(15235)

Question 1178552: There are 131 passengers waiting to board a plane. 74 passengers have two carry on items,48 have one carry on item and 9 have no carry on item. TSA people randomly select 3 passengers to search. Find the probability that:
A. All 3 have on carry on
B. 1 had one carry on, and 2 have two carry ons
C.1 has one carry on, 1 had two carry ons and 1 has no carry on.
Explain
Click here to see answer by Boreal(15235)

Question 1178551: `A.) Grand prize for a lottery is choosing 6 numbers correctly out of 47 (order does not matter). What is the probability of winning this lottery?
B.) If you choose 6 numbers out of 47 and 5 are chosen correctly you win second prize. What is this probability.
Click here to see answer by Boreal(15235)

Question 1178273: Suppose that the number of cars arriving at a busy intersection in a large city has a Poisson distribution with mean 120. Determine a lower bound for the probability that the number of cars arriving in a given 20-minute period will be between 100 and 140 using Chebyshev’s inequality.
thank you
Click here to see answer by Boreal(15235)

Question 1178386: a) A poll of 2,295 likely voters was conducted on the president’s performance. Approximately what margin of error would the approval rating estimate have if the confidence level is 95%? (Round your answer to 4 decimal places.)

Margin of error
.0172

(b) The poll showed that 46 percent approved the president’s performance. Construct a 90 percent confidence interval for the true proportion. (Round your answers to 4 decimal places.)

The 90% confidence interval is from
to

(c) Would you agree that the percentage of all voters opposed is likely to be 50 percent?

multiple choice 2
Yes, the confidence interval contains .50.
No, the confidence interval does not contain .50.
Click here to see answer by Boreal(15235)

Question 1178561: Samuel has two 4-sides dice. the sides of each die have the numbers 1,2,3,4. because the dice are pyramid-shaped,
when Samual rolls the dice, each lands with three faces showing and one face not showing.
if Samual rolls his dice, the probability that the number not showing have a difference of 2 is:
a. 1/9
b. 1/8
c. 1/4
d. 1/3

Click here to see answer by MathLover1(20849)

Question 1178558: a hockey team has a record of 10 wins, 6 losses, and 4 ties.
the probability that the team does not lose a game (the game ends ina win or a tie) is:
a. 3/10
b. 7/10
c. 1/3
d.2/3

Click here to see answer by ikleyn(52752)

Question 1178560: if p(B)= 4/5 and p(B and A)= 3/5, where A and B are dependent events, then p(A/B) equals:
a.7/5
b. 3/4
c. 1/5
d. 12/25

Click here to see answer by ikleyn(52752)

Question 1178560: if p(B)= 4/5 and p(B and A)= 3/5, where A and B are dependent events, then p(A/B) equals:
a.7/5
b. 3/4
c. 1/5
d. 12/25

Click here to see answer by MathLover1(20849)

Question 1178553: There are 131 passengers waiting to board a plane. 74 passengers have two carry on items,48 have one carry on item and 9 have no carry on item. TSA people randomly select 3 passengers to search. Find the probability that:
A. All 3 have on carry on
B. 1 had one carry on, and 2 have two carry ons
C.1 has one carry on, 1 had two carry ons and 1 has no carry on.
Explain..
Click here to see answer by ikleyn(52752)

Question 1178587: The following set of data of the final scores of the students in the mathematics final exams:
20, 18, 15, 15, 14, 12, 11, 9, 7, 6
Calculating:
a. The Mean
b. The Median
c. The Mode
d. The Variance Standard Deviation
e. The Range
f. Coefficient of Variation (CV)

Click here to see answer by ikleyn(52752)

Question 1178586: Let the random variable X follow a normal distribution with 𝜇= 80 and 𝜎2= 100. a.Find the probability that X is greater than 60. Draw a probability distribution graph.b. Find the probability that X is greater than 72 and less than 82.c. Find the probability that X is less than 55.d. The probability is 0.1 that X is greater than what number? e. The probability is 0.6826 that X is in the symmetric interval about the mean between which two numbers?

Click here to see answer by Theo(13342)

Question 1178577: Write the Null Hypothesis (H0) or the Alternative Hypothesis (H1) based from the given situations.
H0: The average IQ of Grade 10 students is 110.
Click here to see answer by ewatrrr(24785)

Question 1178616: It's Soccer season! You have a bag that contain 5 red soccer balls, 6 white soccer balls, and 2 green soccer balls. You are going to pick out one soccer ball, leave it out, and then pick another soccer ball. What is the probability of picking out an white soccer ball followed by a green soccer ball?
Click here to see answer by ikleyn(52752)

Question 1178619: Suppose that 11% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?
Click here to see answer by Boreal(15235)

Question 1178617: A tyre manufacturer wants to set a minimum mileage guarantee on its new MX100 tyre. Tests reveal the mean mileage is 47,900 with a standard deviation of 2,050 miles and the distribution is a normal distribution. The manufacturer wants to set the minimum guaranteed mileage so that no more than 4% of the tyres will have to be replaced. What minimum guaranteed mileage should the manufacturer announce?

Click here to see answer by ewatrrr(24785)

Question 1178618: A firms marketing manager believes that total sales for the firm next year can be modeled by using a normal distribution with a mean of 2.5 million and a standard deviation of 300,000.
What is the probability that the firms sales will exceed 3 million?
What is the probability that the firms sales will fall within 150,000 of the expected level of sales?
In order to cover fixed costs, the firms sales must exceed the break-even level of 1.8 million. What is the probability that sales will exceed the break-even level?
Determine the sales level that has only a 9% chance of being exceeded next year.
Click here to see answer by Boreal(15235)

Question 1178604: Trying to encourage people to stop driving to campus, the university claims that on average it takes at least 30 minutes to find a parking space on campus. I don’t think it takes so long to find a spot. In fact I have a sample of the last 10 times I drove to campus, and I calculated that average mean time is 20 minutes. Assuming that the time it takes to find a parking spot is normal, and that the population standard deviation is 6 minutes, then perform a hypothesis test with level a=0.10 to test if there is enough evidence to support this claim .
Click here to see answer by ewatrrr(24785)

Question 1178602: An educator estimates that the dropout rate for seniors at high schools in Colorado is 12%. Last year in a random sample of 300 Colorado seniors, 27 withdrew from school. At α = 0.05, is there enough evidence to reject the educator’s claim?
Click here to see answer by Boreal(15235)

Question 1178627: Justin throws a standard six-sided die three times in a row and notes the number of dots on the top face after each roll. How many different sequences of outcomes could he get?

Click here to see answer by ikleyn(52752)

Question 1178633: Determine whether the association between the two variables is positive or negative.
The number of times a pencil is sharpened and its length
Click here to see answer by MathLover1(20849)

Question 1178637: You need to arrange seven of your favorite books along a small shelf. Although you are not arranging the books by height, the tallest of the books is to be places at the left end and the shorts of the books at the right end How many different ways can you arrange the books?
Click here to see answer by ikleyn(52752)

Question 1178631: The scientist believes that the the lengths of fish are normally distributed with mean
µ = 3.5 and σ = 0.8. Using these values complete a chart.
Category (-inf, 1] (1, 2] (2,3] (3,4] (4, 5] (5, 6] (6, inf)
Observations. 2 5 10 13 4 5 3
Probability
I do not understand how to calculate the probability of a bin for a normal distribution.
The observations are used to calculate an expected value after which I understand.
Click here to see answer by AwesomeScottB(2)

Question 1178571: Let X and Y be independent chi-square random variables with 14 and 5 degrees of freedom,respectively. Find
(a) P (|X − Y| ≤ 11.15),
(b) P (|X − Y| ≥ 3.8)
Click here to see answer by JimmyJW(2)

Question 1178705: According to the Federal Communications Commission, 70% of all U.S.
households have VCRs. In a random sample of 15 households, what is
the probability that exactly 10 have VCRs?

Click here to see answer by ikleyn(52752)

Question 1178710: A temporary agency fills jobs on a temporary basis for 1-2 months at a time.And the probability that you are hired on any given day is equally likely. (Monday - Friday)If two employees are randomly selected, what is the probability that they were both hired on aFriday?

Click here to see answer by ikleyn(52752)

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, 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