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

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

Question 222506: find C(10,4)
Click here to see answer by Edwin McCravy(8879)

Question 222505: twenty slips of paper are numbered 1 to 20 and placed in a box.what is the probability of drawing a number that is odd or a multiple of 5
Click here to see answer by rfer(12644)

Question 222539: In how mny ways can a fve letter lcense plate be made wth the letters from APRIL if none of the letters are repeated?
Click here to see answer by stanbon(57214)

Question 222843: In a homicide case 6 different witnesses picked the same man from a line up. The line up contained 5 men. If the identifications were made by random guesses find the probability that all 6 witnesses would pick the same person
Click here to see answer by stanbon(57214)

Question 223002: There are 3 blue and 5 red balloons, what are the odds that you pick one blue balloon?
Click here to see answer by jim_thompson5910(28476)

Question 223066: Select a card from deck. DO NOT return it. Select another card. What is the probability that a red 3 and a face card are the two cards you chose?
I get 2/52 and 12/51, (2 red 3's and 12 face cards in the deck, not replacing leaves you with 51) then i get lost!
Thanks!
Click here to see answer by rfer(12644)

Question 223086: A single card is drawn from an ordinary deck of playing cards. Find the odds against drawing a club.
I know that the formula is n(e') divided by n(e) but i don't know what to put into the formula
Click here to see answer by rfer(12644)

Question 223018: In 2001 the ACT reading test had a mean of 21.3 and a standard deviation of 6.0
Asuming the scores are distributed normally
a. If only the top 1% of the test takers would be considered for scholarships at Prestige College, what is the minimum score for the scholarship group?
Click here to see answer by stanbon(57214)

Question 223217: Okay, I have been sitting here for an hour reading this problem. I am totally lost. Please help me.
Bob can paint a house in 15 hours. If he hires Cindy to help they can do it in 9 hours. If Cindy does it alone, how long will it take her?
Click here to see answer by jim_thompson5910(28476)

Question 223174: The time it takes to travel from home to the office is normally distributed with minutes and minutes.
a. What is the probability the trip takes more than 20 minutes?
b. What is the probability the trip takes less than 15 minutes.
c. What is the probability the trip takes between 30 and 35 minutes?
d. What is the probability the trip takes more than 40 minutes?
Click here to see answer by Edwin McCravy(8879)

Question 223211: Sigh! I just don't get this stuff : ( Very frustrating. Please help.
A boat can maintain a speed of 16mph. The boat makes a trip upstream in 20 mins. The return trip takes 15 minutes. What is the speed of the current?
Click here to see answer by ankor@dixie-net.com(15622)

Question 223214: Please help me.
A jogger and a walker cover the same distance. The jogger finishes in 40 minutes. THe walker takes an hour. How fast is each exerciser moving if the jogger runs 2mph faster than the walker?
Click here to see answer by stanbon(57214)

Question 223316: Blood type AB is found in only 3% of the population. If 225 people are chosen at random, what is the probability that
a) 5 or more will have this blood type?
b) Between 5 and 10 will have this blood type?

Click here to see answer by stanbon(57214)

Question 223170: A light bulb manufacturer claims his light bulbs will last 500 hours on the average. The lifetime of a light bulb is assumed to follow an exponential distribution.
a. What is the probability that the light bulb will have to replaced within 500 hours?
b. What is the probability that the light bulb will last more than 1000 hours?
c. What is the probability that the light bulb will last between 200 and 800 hours?

Click here to see answer by stanbon(57214)

Question 223173: For a binomial distribution, compare P(x = 3) when n = 10 and p = .4 to P(x = 7) when n = 10 and p = .6.
Click here to see answer by stanbon(57214)

Question 223610: In Mr. Romano's class, the ration of the number of girls to the number of boys is 3:2. A student is selected at random from the class. The probability that the selected student is a boy is..
Click here to see answer by stanbon(57214)

Question 223725: In a standard deck of 52 playing cards, what is the probability of drawing an even number?
Click here to see answer by drj(1380)

Question 223726: In a standard deck of 52 playing cards, what is the probability of drawing an odd number?

Click here to see answer by drj(1380)

Question 223690: What information is necessary to calculate a confidence interval? Is the size of the population relevant when one is determining the sample size for a confidence interval? What does increasing your level of confidence do to the interval estimate?
Click here to see answer by stanbon(57214)

Question 223767: A school social worker wishes to estimate the mean amount of time each week that high school students spend with friends. She obtains a random sample of 1175 high school students and finds that the mean weekly time spend with friends is 9.2 hours. Assuming the population standard deviation amount of time soend with friends is 6.7 hours, construct and interpret a 90% confidence interval for the mean time spent with friends each week
Click here to see answer by stanbon(57214)

Question 223772: Assume the profit earned by an artist in any given year is governed by the function
P(n) = -2n2 + 20n – 30
where n represents the number of paintings sold and P (in thousands of dollars) represents the profit. How many paintings should be sold to create a maximum profit? What is the maximum profit?

Click here to see answer by stanbon(57214)

Question 223867: 8 is 40% of what number?
thank for your help
Click here to see answer by drj(1380)

Question 223867: 8 is 40% of what number?
thank for your help
Click here to see answer by MathTherapy(1420)

Question 223964: what is 8% of 300
Click here to see answer by nerdybill(6948)

Question 223985: THe principle 'P' and the future value 'A' are given at time 't'. Find the simple interest rate 'r'
P= $3000
A= $3180
t= 1 year
thanks!
Click here to see answer by rfer(12644)

Question 223982: The principle 'P' is borrowed at simple interest rate 'r' for a period of time 't'. Find the future value.
P= $2000
r= 6%
t= 3 years
Click here to see answer by rfer(12644)

Question 224172: I am looking for some general help in understanding this concept concerning confidence intervals. I have a file where I have used the data in the spread sheet to find the mean, standard deviation, and some other point estimates. Now I am trying to determine the next step to find the answers to the following questions:
Find the 90% CI for the portion of all customers whose order is more than $85 (since this is a population portion problem I chose to count the number of people whose order is over $85/number in sample to determine phat) Am I on the right track? I want to do something similar for the other part of the question.
and
Find the 95% Confidence Interval for the portion of all customers whose order contains at least 3 items and cost at least $85
Click here to see answer by stanbon(57214)

Question 224230: find P(5,2)
Click here to see answer by rapaljer(4667)

Question 224243: a set of data is normally distributed with a mean of 50 points and a standard deviation of 10 points. what percent of the data is greater then 60.
Click here to see answer by stanbon(57214)

Question 224239: find the first three iterates of the function f(x) = x^2 - 2, if the initial value is -2
Click here to see answer by stanbon(57214)

Question 224232: how many eight-letter patterns can be formed from the letters of the word CIRCULAR.
Click here to see answer by stanbon(57214)

Question 224350: ok this is a story problem. George Adrian of Indianapolis, Indiana, picked 15,830 pounds of apples in eight hours. How many pounds of apples per hour is that?

please help me and it is due on Monday.
Click here to see answer by solver91311(16868)

Question 224405: x -----y
2 -----0
3 -----13
4 -----9
5------15
5------0
7------8
7------8

Find:
- SS(x)
- SS(y)
- SS(xy)
- The linear correlation coefficient, r
- The slope b1
- The y-intercept, b0
- The equation of the line of best fit.
Click here to see answer by stanbon(57214)

Question 224444: The wiscons police department had a total of 1200 officers eligible for promotion this year, 960 were male, the remainder were female. A total of 325 were actually promoted. Of those that were promoted, 204 were women. Construct a joint probability table, and answer using it and probibility notation, describe and answer the following
Given that an officer got promoted, what is the probability that the officer was a woman?
What was the probability of any eligible offer getting promoted this year?
Did male officers have a promotion advantage over female officers?
Click here to see answer by stanbon(57214)

Question 224528: When two cards are drawn from a standard 52-card deck, what is the probability that they are of different suits?
Click here to see answer by rapaljer(4667)

Question 224528: When two cards are drawn from a standard 52-card deck, what is the probability that they are of different suits?
Click here to see answer by Alan3354(30945)

Question 223534: If a bank pays 4% annual interest, compounded daily, what is the value of $750 deposited after 1 year. Please show steps so I can understand

Click here to see answer by Alan3354(30945)

Question 224587: A class of 15 kindergarteners had the following weights in pounds:
53 39 46 36 39 52 49 52
46 47 48 51 48 51 41

Find the mean, variance, and standard deviation.
(Points: 5)

Click here to see answer by Edwin McCravy(8879)

Question 224713: Assume the profit earned by an artist in any given year is governed by the function
P(n) = -2n2 + 20n – 30
where n represents the number of paintings sold and P (in thousands of dollars) represents the profit. How many paintings should be sold to create a maximum profit? What is the maximum profit?

Click here to see answer by ankor@dixie-net.com(15622)

Question 224959: In a standard deck of 52 playing cards, what is the probability of drawing a two
Click here to see answer by Earlsdon(6287)

Question 224959: In a standard deck of 52 playing cards, what is the probability of drawing a two
Click here to see answer by rfer(12644)

Question 225128: If two events A and B are independent and you know that P(A) = 0.75, what is the value of P(A | B)?

Click here to see answer by drj(1380)

Question 225306: Hi Tutor,
I need help for this question. I tried, but not sure the answer.
"A manufacturer makes three models of television set, models A, B and C. A store sells 40% of model A, 40% of model B and 20% of model C. Of model A sets, 3% have stereo sound, of model B sets, 7% have stereo sound and of model C sets, 9% have stereo sound. If a set is sold at random, find the probability that it has stereo sound"
My Answer is :- 19/100 (is it correct?)
Thanks Tutor! :)
Click here to see answer by scott8148(6628)

Question 225343: The digits 2, 3, 4, 7 and 8 are each used once to form a five-digit number. What is the probability that the tens digit is odd and the number is divisible by 4? Express youranswer as a common fraction.
Click here to see answer by Edwin McCravy(8879)

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