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

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

Question 1032170: THe number of injuries per football game follows a poisson distribution. DUring a typical game the coach expects 3.2 injuries on average. Find the probability that the team will have at most 1 injury the next game.
3.2
P(x ≤ 1)
Click here to see answer by robertb(5830)

Question 1031652: If the probability of success during a single event of a geometric experiment is 0.03, what is the probability of success by the 12th event? Round your answer to the nearest tenth of a percent.

Click here to see answer by robertb(5830)

Question 1032335: Which of the above two promblems requires application of the central limit theorem ? Explain your reason (this is for the first two promblems i submitted )
Click here to see answer by solver91311(24713)

Question 1032347: In testing H0: p = .5 against H1: p > .5, 400 voters were surveyed and 216 reported they were in favor of the proposal to widen I-485. Find the value of the test statistic to determine if a majority of the voters are in favor of the proposal to widen I-485.
A. 1.6
B. -1.6
C. 0.8
D. -0.8
E. 0.04
Click here to see answer by jim_thompson5910(35256)

Question 1032356: The lengths of pregnancies in a small rural village are Normally distributed with a mean of 263 days and a standard deviation of 14 days.
What percentage of pregnancies last fewer than 252 days?
P(X < 252)
Click here to see answer by stanbon(75887)

Question 1032344: If the equation of the regression line between two variables x and y is given by the equation (y-hat) = 2 - 3.1x for values of x between 1 and 10, and the correlation coefficient r = -0.92 consider the following statements and identify which are true.

I) 92% of the variation in y is explained by the x variable
II) Indications are there is a strong negative correlation between y and x
III) Indications are there is a strong positive correlation between y and x
IV) If x = 5, one would estimate y = -13.5
A. Only I and IV are true
B. Only I, II, and IV are true
C. Only I, III and IV are true
D. Only II and IV are true
E. Only III and IV are true
Click here to see answer by stanbon(75887)

Question 1032319: The probability distribution of a discrete random variable x is defined in the table shown here. What is the P(2 ≤ x ≤ 5 )?
x 1, 2, 3, 4, 5, 6
P(x) 0.03, 0.14, 0.31, 0.33, 0.15, 0.04
A.29
B.64
C.78
D.79
E.93
Click here to see answer by jim_thompson5910(35256)

Question 1032316: A multiple-choice quiz has 5 questions each with four (4) choices. You have no idea what the correct answer is to any question so you decide to guess each answer. The probability of answering at least one question correctly is
A. 0.24
B. 0.25
C. 0.5
D. 0.76
E. 0.06
Click here to see answer by robertb(5830)

Question 1032400: Five percent of computer parts produced by a certain supplier are defective. What is the probability that a sample of 16 parts contains more than 3 defective ones?
Click here to see answer by KawaiiKittenGal<3(1)

Question 1032423: I really need help on this math question:
You have 8 red checkers and 8 black checkers in a bag. You choose two checkers. Find each probability.
a) P(red and red) with replacing
b) P(red and black) without replacing
c) P(black and red) with replacing
Click here to see answer by rothauserc(4718)

Question 1032421: I really need help on this math question:
You have 8 red checkers and 8 black checkers in a bag. You choose two checkers. Find each probability.
a) P(red and red) with replacing
b) P(red and black) without replacing
c) P(black and red) with replacing
Click here to see answer by ikleyn(52752)

Question 1032328: a bag contains 4 red balls and 3 blue balls. 2 balls are selected at random. Find the probability of selecting 2 red balls.
Click here to see answer by Fombitz(32388)

Question 1032440: There are 14 men's basketball teams in the Atlantic 10 conference and each team must play every other team twice. How many games would the commissioner have to attend if he wanted to see every game?
Click here to see answer by ikleyn(52752)

Question 1032446: Hi
I need help.
The forecast calls for a 55% chance of rain.
a) What is the probability it will rain?
b) What are the odds it will rain?
Thank you.
Click here to see answer by jorel555(1290)

Question 1032469: Mr.Washington picks a random student each morning to take roll. There are 12 girls and 10boys in the class. What is the probability that he picks a boy two days in a row (the same boy can be picked twice
Click here to see answer by stanbon(75887)

Question 1032510: The table shown here represents a discrete probability distribution of the random variable X which represents the number of sales made on a randomly selected workday by an inside salesperson for an electrical equipment wholesaler.
X 0 1 2 3 4
P (x) p 0.38 0.34 0.06 0.01
The missing entry "p" in the table is
A 0.30
B 0.00
C 0.21
D 0.12
E 0.31
Click here to see answer by addingup(3677)

Question 1032526: Suppose we wish to obtain 95% confidence interval for proportion of teachers who believe algebra should be required for every student graduating high school. We wish to have a margin of error 4%. How many subjects must we sample if: a. We don't know anything about the previous proportion. b. We took a sample previously and found that 23% of teachers believe Algebra should be required. c. What is the difference between parts a and b? How and why are they different?
Click here to see answer by stanbon(75887)

Question 1032547: A random research committee of size 5 is selected from 7 lecturers and 4 tutors. Write a formula for the probability distribution of the random of the random variable Y representing the number of tutors on the committee. Find: a. P(1 ≤ Y ≤ 3) b. P(Y ≤ 1) c. E(Y ) and V (Y )
Click here to see answer by robertb(5830)

Question 1032565: A fair die is rolled. What is the probability of rolling a 3 or a 4?
Possible Answers:
A) 1/36
B) 1/3
C) 2
D) 1/6

Click here to see answer by fractalier(6550)

Question 1032594: Ashton maintains an average balance of $600 on his credit card which carries an annual interest
rate of 15%.
A) $7.50
B) $900
C) $90
D) $75
Click here to see answer by fractalier(6550)

Question 1032592: You currently drive 360 miles per week in a car that gets 20 miles per gallon of gas. You are
considering buying a new fuel-efficient car for $12,000 (after trade-in on your current car) that gets
60 miles per gallon. Insurance premiums for the new and old car are $900 and $600 per year,
respectively. You anticipate spending $1400 per year on repairs for the old car and having no
repairs on the new car. Assume gas costs $3.50 per gallon. Over a five-year period, is it less
expensive to keep your old car or buy the new car? By how much?
A) the new car is $4420 less expensive
B) the new car is $3120 less expensive
C) the old car is $4420 less expensive
D) the old car is $3120 less expensive

Click here to see answer by mananth(16946)

Question 1032697: . The director of manufacturing of a toy company is investigating vendors who supply handheld gyroscopes for inclusion into one of their most recent product lines. The director would like to estimate the diameter of gyroscopes that are currently used in the toy line to determine if they still comply with product specifications. The principal manufacturing vendor has specified that the gyros are supposed to have a population mean diameter of 7.30 inches and a standard deviation equal to .04 inches. A random sample of 25 selected from a shipment indicates a sample average of 7.31 inches. Set up a 95% confidence interval estimate of the true average diameter of the gyroscopes in this shipment. Does the population of gyros need to have a diameter that is normally distributed here?
Thank you!!
Click here to see answer by Boreal(15235)

Question 1032643: The SAT mathematics scores in the state of Florida are approximately normally distributed with a mean of 500 and a standard deviation of 100.
Using the empirical rule, what is the probability that a randomly selected student�s math score is between 300 and 700? Express your answer as a decimal.
Click here to see answer by robertb(5830)

Question 1032734: There are 13 members on a board of directors. If they must form a subcommittee of 4 members,
how many different subcommittees are possible?
A) 24
B) 715
C) 17,160
D) 28,561
Click here to see answer by Alan3354(69443)

Question 1032732: The CEO of a company claims that 90% of its employees have very high job satisfaction. A poll of
the company's employees revealed that 88 percent had very high job satisfaction with a margin of
error of 2.6 percentage points. Can we conclude that the CEO was lying?
A) 85.4% to 88%; yes
B) 86.7% to 89.3%; yes
C) 88% to 90.6%; no
D) 85.4% to 90.6%; no
Click here to see answer by robertb(5830)

Question 1032731: In a survey conducted in a certain city it was found that 4.0% of men and 5.1% of women were
unemployed. The margin of error for each report was 0.8 percentage points. Use each sample
statistic to find a confidence interval. Can we conclude that the unemployment rate is higher
amongst women than amongst men?
A) men: 4.0% to 4.8%
women: 4.3% to 5.1%
no
B) men: 3.2% to 4.8%
women: 4.3% to 5.9%
no
C) men: 3.2% to 4.0%
women: 5.1% to 5.9%
yes
D) men: 3.6% to 4.4%
women: 4.7% to 5.5%
yes
Click here to see answer by robertb(5830)

Question 1032735: When using the counting rules to count the number of possible outcomes, the permutation formula
can be used in which of the following situations?
A) When repetitions are allowed and the order of arrangement is unimportant
B) When repetitions are allowed and the order of arrangement is important
C) When repetitions are not allowed and the order of arrangement is unimportant
D) When repetitions are not allowed and the order of arrangement is important
Click here to see answer by robertb(5830)

Question 1032787: The amount of coffee that a filling machine puts into an 8 oz. jar is normally distributed with a mean of 8.2 oz. and a standard deviation of .18 oz. What is the probability that a sampling error made in estimating the mean amount of coffee for all 8 oz. jars from samples of 100 jars will be at the most .02 oz.?
Click here to see answer by stanbon(75887)

Question 1032825: Ten thousand raffle tickets are sold. One first prize of $2000, 4 second prizes of $800 each, and 10
third prizes of $400 each are to be awarded, with all winners selected randomly. If you are given
one ticket, what are your expected winnings?
A) $230
B) $255
C) $500
D) $260
Click here to see answer by stanbon(75887)

Question 1032824: A card is selected at random from a standard deck of 52 cards. Let
A = event the card is a heart
B = event the card is a red card
Which of the following is (are) true?
A: P(A or B) = P(A)
B: P(A or B) = P(B)
C: P(A and B) = P(B)
D: P(A and B) = P(A)
Answers:
A) A and D
B) B and C
C) A and C
D) B and D
Click here to see answer by Boreal(15235)

Question 1032826: Earth has a radius of approximately 6400 kilometers, and Saturn has a radius of approximately
60,300 kilometers (assuming that the planets are spherical). (i) Compute the surface area and
volume for both planets. (ii) Which planet has the larger surface-area-to-volume ratio?
Answers:
A) (i) Surface area of Earth is about 5.15 � 108 square kilometers, volume of Earth is about
1.10 � 1012 cubic kilometers, surface area of Saturn is about 4.57 � 1010 square kilometers,
volume of Saturn is about 9.18 � 1014 cubic kilometers
(ii) Saturn has the larger surface-area-to-volume ratio.
B) (i) Surface area of Earth is about 4.57 � 1010 square kilometers, volume of Earth is about
9.18 � 1014 cubic kilometers, surface area of is about 5.15 � 108 square kilometers,
volume of Saturn is about 1.10 � 1012 cubic kilometers
(ii) Earth has the larger surface-area-to-volume ratio.
C) (i) Surface area of Earth is about 5.15 � 108 square kilometers, volume of Earth is about
1.10 � 1012 cubic kilometers, surface area of Saturn is about 4.57 � 1010 square kilometers,
volume of Saturn is about 9.18 � 1014 cubic kilometers
(ii) Earth has the larger surface-area-to-volume ratio.
D) (i) Surface area of Earth is about 4.57 � 1010 square kilometers, volume of Earth is about
9.18 � 1014 cubic kilometers, surface area of Saturn is about 5.15 � 108 square kilometers,
volume of Saturn is about 1.10 � 1012 cubic kilometers
(ii) Saturn has the larger surface-area-to-volume ratio.
Click here to see answer by ewatrrr(24785)

Question 1032835: i) In how many 5-digit numbers can be formed from the 10 digits (0-9), if
a) Repetitions are allowed ;
b) The numbers begin with 40;
c) The numbers are even;
d) The numbers are divisible by5.
ii) How many different sets of 4 students can be chosen out of 17 qualified students to represent a school in a mathematics contest?

Click here to see answer by ikleyn(52752)

Question 1032841: Ebony has 4 male kittens and 7 female kittens . She picks up 2 kittens to give to a friend . What a the probability that she will pick up 2 male kittens and how do I solve this? Thank you.
Click here to see answer by fractalier(6550)

Question 1032780: Find P(4)when p=0.80
Click here to see answer by fractalier(6550)

Question 1032850: A fair coin is tossed 5 times. Which of the following statements is (are) true?
A: The sequence HTHTH is more likely than the sequence HHHHH.
B: The sequence HTHTH and the sequence HHHHH are equally likely.
C: Getting 5 tails is less likely than getting 3 tails.
D: Getting 5 tails and getting 3 tails are equally likely.
Possible answers:
A)A and C
B)B and C
C)B and D
D)A and D

Click here to see answer by fractalier(6550)

Question 1032898: Twenty-three slips of paper are each marked with a different
letter of the alphabet and placed in a basket. A slip is pulled
out, its letter recorded (in the order in which the slip was
drawn), and the slip is replaced. This is done 44 times. Find
the probability that a word with no repetition of letters is
formed.
Click here to see answer by Edwin McCravy(20054)

Question 1032919: If P(A)=0.4 , P(B)=0.8 , \ and P(A∩B)=0.2 , \ then
1.) P(A|B)= \ and
2.) P(B|A)=
Click here to see answer by Edwin McCravy(20054)

Question 1032902: Erica does not know the answers to 3 multiple choice questions on a test. Each question has 3 answer choices. Erica randomly guesses the answers to all 3 questions. What is the probability that she will answer only the second question correctly?
Click here to see answer by robertb(5830)

Question 1032849: Use the range rule of thumb to approximate the standard deviation.
2, 6, 15, 9, 11, 22, 1, 4, 8, 19
A)2
B)6.8
C)5.25
D)6.3
Click here to see answer by robertb(5830)

Question 1032854: Which of the distributions has the greatest variation?
Photo of the distribution is here:
http://i.imgur.com/jBW7gaG.png
Click here to see answer by robertb(5830)

Question 1032917: In a recent election there were 1000 eligible voters. They were asked to vote on two issues, A and B. The results were as follows: 300 people voted for A, 550 people voted for B, and 75 people voted for A and B. If one person is chosen at random from the 1000 eligible voters, find the following probabilities:
1. The person voted for A, given that he voted for B.

2. The person voted for B, given that he voted for A.

Click here to see answer by robertb(5830)

Question 1032952: The probability of obtaining an even number in a single toss of a fair die is
Click here to see answer by FrankM(1040)

Question 1032953: What's the probability of at least one 3 in 10 rolls of a fair die?
Click here to see answer by FrankM(1040)

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, 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