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

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Question 761914: a box contains 25 balls numbered from 1 to 25.one ball is drawn at random.what is the probability tha the number of the drawn ball will be a multiple of 3 or 5?
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Question 761942: there were 500 workers working in a factory.their mean wage was calculated as 200.later on it was discovered that the wage of two workers were misread as 100 and 20 in place of 80 and 220. find the correct average?
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Question 761958: For a 10 point quiz, the professor recorded the following scores for 8 students:
7, 8, 3, 9, 10, 6, 8, 5
What is the Mean for this set of scores?

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Question 761969: your friend decides to flip a coin repeatedly to analyze whether the probability of a head on each flip is 1/2. He flips the coin 10 times and observes a head 7 times. He concludes that the probability of a head for this coin is 7/10=.70.
a. Your friend claims that the coin is not balanced, since the probability is not .50. What's wrong with your friend's claim?
b. If the probability of flipping a head is actually 1/2, what would you have to do to ensure that the cumulative proportion of heads falls very close to 1/2?

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Question 762026: If P(E)=0.45, P(E or F)=0.50 and P(E and F)=0.20, find P(F)
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Question 762045: The probability of passing a statistics test is 77%. If 18 students take the statistics test, what is the probability that 14 pass the test?
Click here to see answer by reviewermath(1029) About Me 

Question 761996: There are 5 quarters, 3 dimes, and 2 nickels in my pocket. If I choose one coin at random, and then another without replacing the first, what is the probability I choose a quarter and then a dime?
Click here to see answer by Alan3354(69443) About Me 

Question 762057: i would be glad if you could help check if my answers are correct
Consider the following discrete probability distribution function for the variable X:
x
10
12
14
16
18
f(x)
.02
.7
.05
.2
.03 P.s this is a table showing corresponding values of x and f(x)
a) Is this a proper probability mass function? How do you know?
b) What is the probability that any draw from this distribution, say X, is less than 16 [i.e. find P(X<16)]?
answers i arrived at but not sure about them yet;
Yes this is a proper probability mas function because 0 < f(x) ≤ 1 and the sum of all the f(x)values is 1

The formula for probability is as follows;
P (E) = The Number Of Ways Event can occur/The total number Of Possible Outcomes
The probability that P(X<16) = Number of X values less than 16/The total number of values
According to the table the number of values less than 16 is 3 (i.e. 10, 12, 14) and the total number of values is 5
Therefore The probability that P(X<16) = 3/5 =0.6

Click here to see answer by stanbon(75887) About Me 
Question 762057: i would be glad if you could help check if my answers are correct
Consider the following discrete probability distribution function for the variable X:
x
10
12
14
16
18
f(x)
.02
.7
.05
.2
.03 P.s this is a table showing corresponding values of x and f(x)
a) Is this a proper probability mass function? How do you know?
b) What is the probability that any draw from this distribution, say X, is less than 16 [i.e. find P(X<16)]?
answers i arrived at but not sure about them yet;
Yes this is a proper probability mas function because 0 < f(x) ≤ 1 and the sum of all the f(x)values is 1

The formula for probability is as follows;
P (E) = The Number Of Ways Event can occur/The total number Of Possible Outcomes
The probability that P(X<16) = Number of X values less than 16/The total number of values
According to the table the number of values less than 16 is 3 (i.e. 10, 12, 14) and the total number of values is 5
Therefore The probability that P(X<16) = 3/5 =0.6

Click here to see answer by DrBeeee(684) About Me 

Question 762030: The probability of passing a statistics test is 77%. If 18 students take the statistics test, what is the probability that 14 pass the test.
Click here to see answer by stanbon(75887) About Me 

Question 762028: A student has computed that it takes an average (mean) of 16 minutes with a standard deviation of 4 minutes to drive from home, park the car, and walk to an early morning class. Another day it only took the student 12 minutes to get to class. What is the measurement in standard units
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Question 762117: a teacher gave students eleven questions and wrote that she would randomly choose one of the eleven questions for an exam. If Harry prepared for only on questions what is the probability that he did not study for the question that the teacher put on the exam
Click here to see answer by ramkikk66(644) About Me 

Question 762176: Find P15, which is the IQ score separating the bottom 15% from the top 85%.
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Question 762319: In a village, 48% of the people are men, 30% are smokers, and 60% are either men or smokers. What percentage of the people are male smokers?
Click here to see answer by reviewermath(1029) About Me 

Question 762540: The manager of a small business hires a consultant to help determine how the manager can improve the employees' moral. Currently there are 8 employees who like their job (have high moral) and 6 who do not like their job (have low moral). The consultant randomly selects 3 workers to interview. What is the probability the consultant selects three employees who like their job?
Click here to see answer by solver91311(24713) About Me 
Question 762540: The manager of a small business hires a consultant to help determine how the manager can improve the employees' moral. Currently there are 8 employees who like their job (have high moral) and 6 who do not like their job (have low moral). The consultant randomly selects 3 workers to interview. What is the probability the consultant selects three employees who like their job?
Click here to see answer by stanbon(75887) About Me 

Question 762539: The manager of a small business hires a consultant to help determine how the manager can improve the employees' moral. Currently there are 8 employees who like their job (have high moral) and 6 who do not like their job (have low moral). The consultant randomly selects 2 workers to interview. What is the probability the consultant selects two employees who like their job?
Click here to see answer by solver91311(24713) About Me 

Question 762538: It is believed that 55% of the eligible voters in the U.S. will vote on election day. If four eligible voters are randomly selected, what is the probability at least one will vote on election day?
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Question 762584: if a school has 500 students, how many different ways could a sample of 10 students be selected

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Question 762676: A psychologist interested in political behavior measured the square footage of the
desks in the official office of four U.S. governors and of four chief executive officers
(CEOs) of major U.S. corporations. The figures for the governors were 44, 36,
52, and 40 square feet. The figures for the CEOs were 32, 60, 48, and 36 square
feet. (a) Figure the means and standard deviations for the governors and for the
CEOs. (b) Explain, to a person who has never had a course in statistics, what you
have done. (c) Note the ways in which the means and standard deviations differ,
and speculate on the possible meaning of these differences, presuming that they
are representative of U.S. governors and large corporations’ CEOs in general.

Click here to see answer by stanbon(75887) About Me 

Question 762630: a box contains 6 white counters and 5 yellow counters. a counter is picked at random from the box and replaced. a second counter is then picked and a third counter is also picked. find the probability that a) the third counter is white given that the first counter is white b) all the counters are yellow c) the counters are of different colours
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Question 762577: Let the row number respresent the toss of a coin. List the possible outcomes. For four coin tosses.
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Question 762765: Find the probability of at least 2girls in 9 births. Assume male/female are equally likely and births are independent events.
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Question 762750: I have a bag of m&ms how to i figure out the probability of choosing 2 different colors. 58 total, Blue 13
Brown 3
Green 8
Red 8
Orange 21
Yellow 5

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Question 762773: Hand sanitizer kills a certain bacterium 80% of the time on each application. What is the minimum number of times you must use the hand sanitizer to be 98% certain you have killed that bacterium?
Click here to see answer by tommyt3rd(5050) About Me 

Question 762913: Assume the Random Variable X is normally distributed with mean = 50 and the standard deviation = 7. Compute the probability. P(X>40). I am really stumped on these and tried to get the same answer on problems you have on this site and I cant seem to do it.
Click here to see answer by rothauserc(4718) About Me 

Question 762925: A magazine includes a report on the energy costs per year for a 32 inch LCD. the article states that 14 randomly selected 32 inch LCDs have a sample standard deviation of $3.74. assume the sample is taken from a normally distributed population. Construct 95% confidence intervals for (a) the population variance (b) the population standard deviation. Interpret the results.
Click here to see answer by stanbon(75887) About Me 

Question 762951: A test is given with a mean score of 77 and a standard deviation of 8.
Draw a sketch of a normal distribution centered at the mean of 77 and divide it into 5 regions based on the following grades:
The top 10% of scores receive an A =
The next 20% of scores receive a B =
The middle 40% of scores receive a C =
The next 20% of scores receive a D
The bottom 10% of scores receive an F
Find the minimum scores on the test that would give a student an A, B, C, D and F

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Question 761796: You're playing Monopoly. Rolling doubles 3 times in a row sends you to jail.
If you roll the dice 100 times over the course of a game, what is the probability that you will have rolled doubles, at any point, exactly three times?

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Question 763043: Find the Margin of error for the given values of c,s,and n.
C= 0.99, s=2.6 , n=7 It indicates to view the t-distribution table.
I calculate my answer to 2.58 but answer key indicates 3.6? Thank you for your help.

Click here to see answer by stanbon(75887) About Me 

Question 763041: What is the comparison distribution and why is it important in hypothesis testing?


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Question 763014: suppose that, of couples having children, in 2 percent both father and mother are left-handed, in 20 percent one is left handed, and in the rest neither is left handed. The chances of a child being left-handed are 1 in 2 if both parents are left handed, 1 in 6 if one parent is left handed, and 1 in 16 if neither parents is left handed. What is the probability that neither parent of a left handed child is left handed?
1. What is a probability of a randomly chosen child being left handed? (Hint: the different events are mutually exclusive and we can apply the addition rule for mutually exclusive events)

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Question 763117: Hello! A coin is flipped three times. Let A be the event that the outcome of the first flip is a heads.Let B be the be the event that the outcomes of second and third flips are both tails.What is the probability that the outcomes of the second and third flips are both tails, given that the first one is a heads? Are A and B independent? Why or why not? Please!
Click here to see answer by reviewermath(1029) About Me 

Question 763115: Hello! A coin is flipped three times. Let A be the event that the outcome of the first flip is a heads. Let B be the be the event that the outcomes of second and third flips are both tails..Show formula Please help me!
Click here to see answer by DrBeeee(684) About Me 

Question 763114: If a die is rolled 30 times, there are 630 different sequences possible.
What fraction of these sequences have exactly five 1's and five 2's

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Question 763089: Find P(A|Ac) [c being the complement]
A. 1
B. 0
C. 1/2
D. unknown

If event A is a proper subset of event B, find P(A|B).
A. P(A)
B. 1
C. 0
D. P(A)/ P(B)


please help, I'm so confused especially on the first one thanks

Click here to see answer by jim_thompson5910(35256) About Me 

Question 763129: Four names are put on a ballot in randomly select order. What is the probability that they are NOT in alphabetical order?
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Question 763225: how many different combination can be made of the letters a,b,c,d,e,f,g,h taken 4 at a time
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Question 763230: Find the third quartile Q3 of the list of 24 sorted values shown below.
30 31 31 32 33 33 34 35 35 37 42 46 46 49 53 53 55 55 59 60 65 68 78 79

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Question 762200: The two digits are selected at random from the digits 1 through 9. If the sum of the two digits is even, find the probability that both numbers are odd.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 763505: A card is drawn from a deck of playing cards at random. the probability of drawing a red face card is?
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Question 763651: PLEASE HELP ME SOLVE THIS PROBLEM! I AM LOST!

What is the probability that a 2-digit number is odd? Express your answer as a reduced fraction in the form "A/B"

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Question 763778: what is the silution to 1234567890 all combination?
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Question 763966: If he selects 3 bills at a time what is the probability of selecting a group that has an average value of equal to or less than $25?
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Question 764058: Bailey is going to purchase 3 sports drinks from a convenience store. The store has a total of 12 in stock, 5 of those being Gatorade, 4 of them Powerade, and 3 of them are AllSport. If Bailey chooses 3 of these 12 bottles at random, determine the probability that he selects 3 bottles of Gatorade.
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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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