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

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

Question 345595: A quiz cosists of 20 multiple-choice questions, each with 5 possible answers. For someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 70 %.
Click here to see answer by solver91311(24713)

Question 345548: Q1:
A class has 10 male and 20 female students out of which half of the male and half of the females have brown eyes. A person is selected at random,what is the probability that this person is either a female or has brown eyes?
Q2:
3 students are in a competition for scholarship.The student A is twice as likely to get scholarship as B and B is twice as likely to get as C.What is the probability that either student A or B will get the scholarship?
Click here to see answer by solver91311(24713)

Question 345509: 3. Roll a fair die twice. Repeat the experiment a total of 50 times. Record the sum of the two rolls in the table below.
Value of x, the sum of the two rolls Frequency

Click here to see answer by stanbon(75887)

Question 345810: Assuming that the proportion of babies born on either Saturday or Sunday is 0.257, estimate the probability that a baby will be born during a weekday. That is, not on Saturday or Sunday.
Click here to see answer by solver91311(24713)

Question 345897: A deck of cards has 3 blue, 4 black, and 6 purple cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked. P(2 blue cards in a row) =
Click here to see answer by stanbon(75887)

Question 346027: 1.What is the probability of choosing a face card from a deck of 52 cards (face cards are jacks, queens, and kings)? What is the probability of the 2nd card being a face card if the first card was a king? (Without replacement.)
2.Compute the following and show your steps. 3! � (0!*3!).
3.We have a binomial experiment with p = .8 and n = 2.
(1) Set up the probability distribution by showing all x values and their associated probabilities.
(2) Compute the mean, variance, and standard deviation

4.A class has 13 women and 18 men. If a student if chosen randomly, what is the probability the student is a woman?

Click here to see answer by stanbon(75887)

Question 346065: A researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample of 315 adults was selected and the results are shown below. Test the claim that the number of minutes spent online per day is related to gender. Use a=0.05.
Click here to see answer by stanbon(75887)

Question 346163: Can you tell me how to figure this out: For a random sample of size 4, determine probability the mean wealth of the four people obtained will be within 2 of the population mean. Population mean is 25.5. The following is the data:
Sample Wealth x
A,B,G,P 26,31,41,20 29.5
A,B,G,E 26,31,41,17 28.75
A,B,G,T 26,31,41,18 29
A,B,P,E 26,31,20,17 23.5
A,B,P,T 26,31,20,18 23.75
A,B,E,T 26,31,17,18 23
A,G,P,E 26,41,20,17 26
A,G,P,T 26,41,20,18 26.25
A,G,E,T 26,41,17,18 25.5
A,P,E,T 26,20,17,18 20.25
B,G,P,E 31,41,20,17 27.25
B,G,P,T 31,41,20,18 27.5
B,G,E,T 31,41,17,18 26.75
B,P,E,T 31,20,17,18 21.5
G,P,E,T 41,20,17,18 24
The answer I came up with is 4/15 = 0.27 or 27% - is that correct? Thank you for your help.
Click here to see answer by stanbon(75887)

Question 345439: The Transportation Safety Authority (TSA) has developed a new test to detect large amounts of liquid in luggage bags. Based on many test runs, the TSA determines that if a bag does contain large amounts of liquid, there is a probability of 0.92 the test will detect it. If a bag does not contain large amounts of liquid, there is a 0.1 probability the test will conclude that it does (a false positive). Suppose that in reality only 3 in 100 bags actually contain large amounts of liquid.
A)What is the probability a randomly selected bag will have a positive test? Give your answer to four decimal places.

Click here to see answer by jrfrunner(365)

Question 346172: What is the probability that a number selected at random from the first 500 positive integers is (exactly) divisible by 6 or 9?
Click here to see answer by Fombitz(32388)

Question 346172: What is the probability that a number selected at random from the first 500 positive integers is (exactly) divisible by 6 or 9?
Click here to see answer by CharlesG2(834)

Question 346056: Find the probability that in a class of 28 students exactly four were born in each of the seven days of the week.
Click here to see answer by edjones(8007)

Question 346137: A game consists of tossing a fair die and then (blindly) selecting a card from a 52 card deck. You win the to prize if the top number on your tossed die is a 1 and you draw a red card. What are the odds against your winning the top prize?
Click here to see answer by Fombitz(32388)

Question 346105: A typical statistics class with 60 students contains 45 females and 25 seniors. Of the seniors 18 are female. If we randomly choose one student from the class, what is the probability that the selected student is female or a senior?
Click here to see answer by edjones(8007)

Question 346161:
If someone with a risk factor is 100 times more likely to get sick with an illness, and the percentage of people without the risk fator get sick .25% out of 100%, can I multiply 100 x .25% to get the percentage of people who will get sick with the risk factor?
Click here to see answer by edjones(8007)

Question 346169: In a three-way race for the U.S. Senate, polls indicate that the two leading candidates are running neck-and-neck, while the third candidate is receiving one-third the support of each of the two front runners. Registered voters are chosen at random and asked which of the three will get their vote. What are the probabilities for for the events.
Click here to see answer by edjones(8007)

Question 346170: 1.Some students were asked if they carry a credit card. Here are the responses.
Class Credit Card Carrier Not a Credit Card Carrier Total
Freshman 33 27 60
Sophomore 6 34 40
Total 39 61 100
What is the probability that the student was a sophomore?

2.
We have the random variable X = {5, 6} with P(5) = .2 and P(6) = .8. Find E(X).

3.
We have a Poisson distribution with mean = 4. Find P(X = 3), P(X < 3), P(X <= 3), P(X > 3), the variance, and standard deviation.

4.
Three members of a club will be selected to serve as officers. The first person selected will be president, the second person will be vice-president and the third will be secretary/treasurer. How many ways can these officers be selected if there are 30 club members?
A) 90
B) 27000
C) 52360
D) 4060
E) 24,360

Click here to see answer by edjones(8007)

Question 346189: A box contains four types of marbles with different colours. There are 5 Red, 7 Yellow, 12 Blue and 8 Green marbles.
Person P picks one marble at a time and places it outside. What is the minimum number of attempts required to get at
least 1 red marble and 1 green marble definitely out of the box?
Click here to see answer by edjones(8007)

Question 346244: 2. A machine has twelve identical components that function independently. It will stop working if three or more of the components fail. If the probability that an individual component fails is 0.11, find the probability that the machine will be working.
Click here to see answer by Fombitz(32388)

Question 346285: a jar has 14 red marbles, 8 blue marbles and 6 green marbles, how many marbles do you have to pick to guarantee that you get a blue marble?

Click here to see answer by jsmallt9(3758)

Question 345566: 3. Roll a fair die twice. Repeat the experiment a total of 50 times. Record the sum of the two rolls in the table below.
Value of x, the sum of the two rolls Frequency

Click here to see answer by jrfrunner(365)

Question 346191: A student needs eight chips of a certain type to build a circuit. It is known that 5% of these chips are defective. How many chips should he buy for there to be a greater than 90% probability of having enough chips for the circuit?
Click here to see answer by nyc_function(2741)

Question 346362: If the electricity goes out and a clock stops, what is the probability that the second had stops between 2 and 3?
Click here to see answer by solver91311(24713)

Question 346316: How many different committees of three students can be formed from a class of five students? Students can be on more than one committee.

Click here to see answer by stanbon(75887)

Question 344440: If 4 factories in a group of 20 factories in a community are violatig environmental regulations and 6 are randomly selected for inspection, what is the probability that none of the violators will be selected?
What formula do I even begin to solve this problem with?
Click here to see answer by jrfrunner(365)

Question 344439: 65% of the students are under age 24. If 5 of these students are selected, what is the probability they are all 24 or older..
Well the way I am reading it to me means, if they are selecting 5 from the 65% that are UNDER 24 then my answer is none of the students, right?
Help :-/
Click here to see answer by jrfrunner(365)

Question 346312: Scoring a hole-in-one is the greatest shot a golfer can make. Once 8 professional golfers each made holes-in-one on the 7th hole at the same golf course at the same tournament. It has been found that the estimated probability of making a hole-in-one is 1/2722 for male professionals. Suppose that a sample of 8 professional male golfers is randomly selected.
What is the probability that at least one of these golfers makes a hole-in-one on the 13th hole at the same tournament?
Click here to see answer by nyc_function(2741)

Question 346556: You randomly choose a point inside a circle of radius R. Obtain a formula for the probability that the chosen point has a distance to the center lower than R.
Click here to see answer by Fombitz(32388)

Question 346588: Can you please tell me if my answers are correct:
Standard deviation of time women with one job are employed during first 8 years of their career is 92 weeks. Length of time employed during the first 8 years of career is a left skewed variable. For that variable:
a. Determine the sampling distribution of the sample mean for simple random samples of 50 women with one job. my answer is 92/√50=13.01 � sampling distribution of the sample mean will be approximately normal because the sample is large enough.
b. Obtain the probability that the sampling error made in estimating the mean length of time employed by all women with one job by that of a random sample of 50 such women will be at most 20 weeks. My answer is:
(�-20)- � = 48-50 = -0.15373
13.01 13.01
(�+2)-� = 52-50 =0.15373
13.01 1301
Area less than z = 0.5596-0.4404 = 0.1192
The probability is approximately 0.1192 that the sampling error made in estimated the population mean of the length of time employed during the first 8 years of career will be at most 20 weeks.
Any help you can give me is very much appreciated.

Click here to see answer by jrfrunner(365)

Question 346570: Question A is if variable is normally distributed, mean 35, standard deviation 42, identify the sampling distribution of the sample mean for sample of size 9. Question B is: Can you answer part (a) if the distribution of the variable under consideration is unknown. My response is: No because the sample is size 9 � since the distribution of the population is not specified, we need a sample size of at least 30 to apply.
Can you tell me if my response is correct? Thank you for any help you can give me.

Click here to see answer by jrfrunner(365)

Question 346629: 4. Suppose that 7% of the bolts produced by a machine are defective. If 10 bolts are chosen from a huge shipment and inspected, determine the probability that
a. exactly one bolt is defective
b. at least two bolts are defective
c. at most one bolt is defective
d. at least one bolt is defective.

Click here to see answer by Fombitz(32388)

Question 346601: Shown below is a rather strangely numbered target. One day a marksman was parcticing. He took six shots and made a score of exactly 100. where did his shots land.
24
16
23
17
39
Click here to see answer by Alan3354(69443)

Question 346633: A student takes a multiple choice test with 10 questions (four answers per question) and guesses at each of the ten. The probability that he gets at least half right?
Click here to see answer by edjones(8007)

Question 346564: 1.Some students were asked if they carry a credit card. Here are the responses.
Class Credit Card Carrier Not a Credit Card Carrier Total
Freshman 33 27 60
Sophomore 6 34 40
Total 39 61 100
What is the probability that the student is a sophomore and doesn't carry a credit card?
2.Some students were asked if they carry a credit card. Here are the responses.
Class Credit Card Carrier Not a Credit Card Carrier Total
Freshman 33 27 60
Sophomore 6 34 40
Total 39 61 100
What is the probability that the student is a sophomore given he doesn't carry a credit card?

Click here to see answer by edjones(8007)

Question 346669: This is in reference to the Chip's OHoy Challenge. I would appreciate if you could tell me if this part is correct. I am determining Quartiles:
1087, 1098, 1103, 1121, 1132, 1135, 1137,1143,1154,1166,1185,1191,1199,1200,1213,1214,1215,1219,1219,1228,1239,1244,1247,1258,1269,1270,1279,1293,1294,1295,1307,1325,1345,1356,1363,1377,1402,1419,1440,1514,1545,1546
I calculated the following
min: 1087
Q1 = 1185
Q2 median = 1241.5
Q3 is 1325
Max 1546
IQR = 1325-1185 = 140
1185-1.5*140=975
1325+1.5*140=1535
Can you tell me if I am doing this correctly? thank you so much for your help.

Click here to see answer by jim_thompson5910(35256)

Question 346756: From a group of 5 women and 7 men, how many different committees consisting of 2 women and 3 men can be formed? What if 2 men are feuding and refuse to serve on the committee together?
Click here to see answer by jrfrunner(365)

Question 346653: 3. A test consists of 5 questions, and to pass the test a student has to answer at least 4 questions correctly. Each question has three possible answers, of which only one is correct. If a student guesses on each question, what is the probability that the student will pass the test?
Click here to see answer by jrfrunner(365)

Question 266971: plz solve my qustion
Given a normal distribution with u=40 and variance=6 find the value of x that has (i) 38% of the area below it and (ii) 5% of the area above it.
chandumer932@hotmail.com
The definition of Z is number of S ( Standard Deviation) Z= (Xbar-Xi)/S. Z table tells relationship between percent under graph and how many S.
In this problem given percentage, S square ( Variance =6) and X bar ( u=40)
So find Z number first, then times square root 6 then minus u.
Answer is Z*6^0.5-40
Click here to see answer by WYWT(1)

Question 346761: In how many ways can the letters of the word "little" be arranged
Click here to see answer by nyc_function(2741)

Question 346689: maggie throws two number cubes numbered 1-6. What is the probability that she rolls a sum of 7?
Click here to see answer by Fombitz(32388)

Question 346754: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are mathematics books, 3 are chemistry books, 2 are history books, and 1 is a language book. Jones wants to arrange his books so that all the books dealing with same subject are together on the shelf. How many different arrangements are possible?
Click here to see answer by jrfrunner(365)

Question 346751: How many different arrangements can be formed using the letters P E P P E R
Click here to see answer by nyc_function(2741)

Question 346751: How many different arrangements can be formed using the letters P E P P E R
Click here to see answer by Edwin McCravy(20054)

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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