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Question 608322: Could you please help me with this question. It came from a study guide given in class. Thank you in advance!
Chapter Lesson: Confidence Intervals for the Mean, Small Samples (n<30)
6. Find the maximum error of estimate (E), and the small sample confidence interval for the population mean for the given values of c, x, σ, and n.
c = 95%
x = 162
σ = 10
n = 16

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Question 608421: Please help me with this problem.
Thank you.
A group of 5 children are each to choose one popsicle from a box of 12: 4 grape, 4 cherry, and 4 orange. What is the probability that each child will get the flavor they want?

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Question 608496:
An 8 sided die, which may or may not be a fair
die, has 4 colors on it; you have been tossing 
the die for an hour and have recorded the color 
rolled for each toss.  Using relative frequency 
what is the probability you will roll a brown 
on your next toss of the die?  

orange brown green yellow
  46     23    32    19

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Question 608572: you are dealt one card from a 52 card deck. Find the probability that you are dealt a king or a red card.
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Question 608659: For a particular sample of 80 scores on a psychology exam, the following results were obtained.
First quartile = 52 Third quartile = 78 Standard deviation = 7 Range = 45
Mean = 65 Median = 65 Mode = 76 Midrange = 62
Answer each of the following:
I. What score was earned by more students than any other score? Why?
II. What was the highest score earned on the exam?
III. What was the lowest score earned on the exam?
IV. According to Chebyshev's Theorem, how many students scored between 37 and 93?
V. Assume that the distribution is normal. Based on the Empirical Rule, how many students scored between 51 and 79?

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Question 608679: How many ways can you arrange the crayons in an eight-pack crayon box?
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Question 608542: construct or think of five situations where outcomes do not have equal chances

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Question 608770: you wrote a computer program that generate two random numbers between 1 and 8. what is the probability that both values will be less than 4

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Question 608729: You are presented with three urns. Each urn has 10 marbles. In addition, each urn holds only black or red marbles. Urn 1 has 3 red marbles. Urn 2 has 8 red marbles. Urn 3 has 5 red marbles. You randomly pick 1 marble from 1 of the three urns. Calculate the probability that it is a black marble. Round answer to the nearest hundredth.


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Question 608717: what if a store is only accurate 80% of the time in getting everything right what is the probability that they will get the next 3 orders correct in a row
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Question 608794: Find the standard score (z) such that the area below the mean and below z is about 16% of the area under the normal curve.
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Question 608724: In a study, the sys5olic blood pressure for population of female participants are found to have a mean of 120 and a standard deviation of 12. Suppose the the blood pressure of a random sample of 64 female participants is obtained from this study. What is the probability that the sample mean is between 118 and 123?
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Question 608803: Find the probability of choosing either a spade or a face card (King, Queen, Jack) out of a standard
deck of cards.

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Question 608806: Find P (12 < x < 18); µ = 12, σ = 5
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Question 608808: ) Find P (0.45 < z < 2.1)

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Question 608805: What is the probability of getting exactly 6 heads in 10 coin tosses?

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Question 608805: What is the probability of getting exactly 6 heads in 10 coin tosses?

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Question 608878: An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event A: The sum is greater than 9 .
Event B: The sum is not divisible by 3 and not divisible by 4.
Write your answers as exact fractions.

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Question 608947: If the correlation coefficient is 0.930, what is the unexplained variation?
A) 7% B) 93% C) 13.5% D) 86.5%

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Question 609046: A box contains 12 red balls and 8 white balls. Two balls are drawn in succession. Find the following probabilities if the balls are drawn with replacement.
a.) A red ball is drawn then another red ball is drawn
b.) A red ball then a white ball
c.) Two white ball is drawn
d.) Both balls are of the same color

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Question 609064: The probability of being selected is 3/17 what is the probability not being selected?
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Question 609334: teachers send 7 boys and 8 girls to the local science fair. the first 3 students leaving the fair at lunch time are interviewed find each probability.
a) all students interviewed are boys

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Question 609459: the number of wins for each team in a league last year are listed. Make a frequency distribution for the data set
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Question 609420: Find z-value of the following area for
A) 51.5% to the right of the total area
B) 45.2% to the right of the total area
C) 92% the middle of the total area
Please help immediately! I don't understand what my teacher is saying!

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Question 609496: the probability that a computer crashes during a week is 0.18. Room 12 has 6 computer in it. what is the probability that none of the computer crashes during the first week?
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Question 609496: the probability that a computer crashes during a week is 0.18. Room 12 has 6 computer in it. what is the probability that none of the computer crashes during the first week?
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Question 609448: If 3 red-yellow tokens are flipped, what is the theoretical probability of all 3 tokens landing with the same color up?
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Question 609521: Hi...I do my best in this Q and Try ..My email is toon_chy@yahoo.com.
A package of Smarties contains 8 red, 7 yellow, 5 green, 3 orange, and 2 brown goodies. A
little boy eats 7 of them at random. What is the probability that:
a. 3 are red
b. 3 are red, and 2 are yellow
c. At least 1 is orange
d. At least 1 is orange and 1 is brown
My answer..
a-if B (is the probability of 3 red)
P(B)=P(B/A)=3/7=O.4
b-if B (is the probability of 3 red)and C (is the probability of 2yellow)
P(B and C)=p(B).P(C)
P(B)=3/8=0.37 P(C)=2/7=0.28
P(B and C)=0.37*0.28=0.103
:.P(A and B and C)=p(A).P(B and C/P(A))=0.103
c- we used conditional and B is at lest 1 orange, P(A/B)=P(A and B)/P(B).
p(A and B)=P(A).P(B/A)= 0.28.((1/30)/0.28)=0.33
;. P(A/B)=0.33/(1/3)=0.1
d- I lost here
thx ...

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Question 609421: I think I have figured out this whole problem except for part D.
There are three boxes containing letters:
1: MATH
2: AND
3: HISTORY
A. From box 1, three letters are drawn one-by-one without replacement and recorded in order. What is the probability that the outcome is HAT?
(1/4)(1/3)(1/2) = 1/24
B. From box 1, three letters are drawn one-by-one with replacement and recorded in order. What is the probability that the outcome is HAT?
(1/4)(1/4)(1/4) = 1/64
C. One letter is drawn at random from box 1, then another from box 2, and then another from box 3, with the results recorded in order. What is the probability that the outcome is HAT?
(1/4)(1/3)(1/7) = 1/84
D. If a box is chosen at random and then a letter is drawn at random from the box, what is the probability that the outcome is A?
In box 1 the Probability is 1/4, In box 2 the probability is 1/3, and in box 3 the probability is 0. I don't know exactly how to combine these to get an answer? Please let me know if I'm even close to getting the answers correct in this whole problem. Thanks so much!

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Question 609564: Suppose in a competition 11 matches are to be played, each having one of 3 distinct outcomes as possibilities.?
The number of ways one can predict the outcomes of all 11 matches such that exactly 6 of the predictions turn out to be correct is
a) 11C6 * 2^5;
b) 11C6;
c) 3^6;
d) None of the above...
I think first option is correct assuming 3 outcomes but if we take two outcomes: right or wrong then option 2 also looks correct.

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Question 609522: a box contains 7 white golf balls and 1 orange golf ball. what is the probability that a person will reach in without looking and get 2 white balls?
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Question 609639: a set of data is normally distributed with a mean of 1000 and standard deviation of 100.
what would be the standard score for a score of 933?
what percentage of scores is between 1000 and 933?
what would be the percentile rank for a score of 933?

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Question 609647: How many five digit numbers can be formed if the leading digit cannot be zero and the number must be odd?
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Question 609509: the probability that an RAC car is free to respond to an emergency is 0.8. Find the probability that, of two RAC cars on duty when an emergency call comes through
a- no car is available.
b- both cars are available.
c- just one car is available.
d- a car is available.

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Question 609645: Susan Williams has been the production manager of Medical Suppliers, Inc., for the past 17 years. Medical Suppliers, Inc., is a producer of bandages and arm slings. During the past 5 years, the demand for No-Stick bandages has been fairly constant. On the average, sales have been about 87,000 packages of No-Stick. Susan has reason to believe that the distribution of No-Stick follows a normal curve, with a standard deviation of 4,000 packages. What is the probability that sales will be less than 81,000 packages?
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Question 609679: what is a scenario for 1/26 using playing cards
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Question 609707: Determining null and alternative hypotheses
A car leasing firm's records indicate that the mean number of miles driven annually in its cars has been about 14250 miles. The firm suspects that this number has decreased this past year. Suppose that the firm wishes to choose a small sample of driving distances from the past year and carry out a hypothesis test for its suspicion. State the null hypothesis Ho and the alternative hypothesis H1 that it would use for this test.


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Question 609664: find all the real zeros of F(x)=3x^4+4x^3-3x-4
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Question 609535: Hi..I try to solve this..but I got lost
At Fictional University of Technology, 65% of incoming freshmen students are male and 35% are female. Recent records indicate that 80% of entering male students will graduate with a B.Sc. degree, while 85% the female students will obtain a B.Sc. degree. If an incoming freshman student is selected at random, find
a. P(student will graduate | students is female)
b. P(student will graduate and student is female)
c. P(student will graduate)
d. If you answers in part “a” and “b” are the same, explain why. If they are different, explain why.
thx

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Question 609791: Assume that the population of heights of male college students is approximately normally distributed with mean m of 70 inches and standard deviation s of 4.15 inches. Show all work.
(A) Find the proportion of male college students whose height is greater than 68 inches.
(B) Find the proportion of male college students whose height is no more than 68 inches.
I have my work, but I want to make sure I am doing it right. We are using z score tables to determine the area(probability) based on the information given. The only thing I am really uncertain of is the on B where it is not just less than, but also = to 68 in.

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Question 609796: a carton contains 12 eggs, 5 of which are cracked. if 4 eggs are selected at random, what is the probability that exactly two of the selected eggs will be cracked

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Question 609900: The amount of monthlyt phone bill is normally distributed with a mean of $60 and a standard deviation of $12, 68% of phone bill are between $______ and $____
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Question 609896: the lifetime of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
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Question 609895: (1) if light bulbs have lives that are normally distributed with a mean of 2500 hours and a standard deviatin of 500 hurs, what percentage of light bulobs have a life less than 2500 hours?

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Question 609808: Find the normal approximation for the binomial probability that x = 5, where n = 14 and p = 0.5.
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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, 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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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