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

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Question 577912: In the game of blackjack as played in casinos in Las Vegas, Atlantic City, Niagara Falls, as well as many other cities, the dealer has the advantage. Most players do not play very well. As a result, the probability that the average player wins a hand is about 0.46. Find the probability that an average player wins
A. twice in 5 hands.
B. 10 or more times in 26 hands.
There are several books that teach blackjack players the "basic strategy" which increases the probability of winning any hand to 0.53. Assuming that the player plays the basic strategy, find the probability that he or she wins
C. twice in 5 hands.
D. 10 or more times in 26 hands.

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Question 577900: A worldwide organization of academics claims that the mean IQ score of 115 its members is , with a standard deviation of 15 . A randomly selected group of 35 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 114.4 . If the organization's claim is correct, what is the probability of having a sample mean of 114.4 or less for a random sample of this size
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Question 577899: What proportion of people score between X = 70 and X = 120 on a normal ditribution ( mean = 100, Standard deviation = 15)"
Transfor to Z score
Draw Identify

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Question 577897: What score is needed to be in the top 10% of a distribution with a mean = 500 and standard deviation = 100?
Proportion
Draw

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Question 577895: What z-score separates the top 5% from the bottom 95%?
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Question 577893: Tiles with each of the 26 letters of the alphabet printed on them are placed in a box. If three tiles are selected from the box, with replacement, what is the probability that the tiles selected will spell the word ADD? the letters must be in order.
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Question 577887: in a family of 8 what is the probability of having 2 girls and 6 boys?

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Question 577851: find the probablility of getting two face cards (king, queen, or Jack) when 2 cards are drawen from the deck without replacement.
My answer is
1 card drawen is a face card
(4*3)/52= 12/52=3/13
2nd card drawn is
(12-1)/(52-1)= 11/51
Drawing 2 face cards
(3/13)(11/51)=0.0497 am I right or have I missed something

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Question 577847: use the confidence interval to find the margin of error and the sample mean (0.532, 0.650)
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Question 577963: A survey for brand recognition is done and it is determined that 70% of
consumers have heard of Dull Computer Company. A survey of 900
randomly selected consumers is to be conducted. For such groups of 900,
would it be unusual to get 527 consumers who recognize the Dull
Computer Company name.

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Question 577988: Question:
suppose that the probability that a student will pass a test is four-fifths, and the the students taking the test are all interdependent of one another. what is the probability that none of the four students will pass the test?
Answer: .00160

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Question 578018: Question: suppose that the probability that a student will pass a math test is four-fifths, and that the students taking the test are all independent of one another. what is the probability that at least one student will pass the test.
Answer: .99840

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Question 578001: You are hired to monitor quality control for a clothes manufacture. The manufacture claims that only 5% of jeans manufactured have a defect.
A.) using the manufactures claim, write P(no defect) and P(defect) as decimals.
B.) at a checkpoint, you choose six pairs of jeans at random and determine that two pairs have a defect. Find the probability of this happening by chance, using the probabilities you wrote in part a.
C.) using your results from part b, do you believe the manufactures claim about quality control? Explain

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Question 577998: The scores on an exam are normally distributed, with a mean of 77 and a standard deviation of 10. What percent of the scores are greater than 87??
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Question 578077: how many ways cam 2 balls be drawm from a box containing 7 red and 6 green balls such they are both green?
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Question 578138: In an experiment to study the relationship of hypertention and smoking habits, the following data are collected for 180 individuals:
Nonsmokers Moderate smokers Heavysmkr
Hypertension 21 36 30
Nonhypertention 48 26 19
If one of these individuals is selected at random, find the probability that the person is
a) experiencing hypertention, given that the person is a heavy smoker
b) a nonsmoker, given that the person is experiencing no hypertention

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Question 578047: Nielsen Ratings
Data Given:
Rating Viewers
13.5 21,341
12.5 20,929
11.5 19,147
10.9 17,338
10.0 16,505
9.3 15,792
9.2 14,651
8.9 14,567
8.5 13,915
8.3 13,406
8.3 12,844
Questions to be answered:
Using the information that each rating is a percent of Tv homes in the US, and the numbers of viewers for each show compute the approximate number of total viewers. Once you have an approximate total number, compute the percent of the total audience used in the sample.
To answer the first part of the question, I divided the viewers ie, 21,341 by it's corresponding rating ie 13.5%. I did that for each of the listings to get the approximate number of total viewers for each show. I'm not quite sure where to go from there.. Please help if you can, thanks in advance.. Carrie

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Question 578142: 500 hundred raffle tickets were sold for $2 each. A prize of $400 is to be awarded. If you buy 1 ticket,determine the expected value. What is the fair price for a ticket.
with replacement
without replacement

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Question 578182: I am stuck :(
The distribution of scores on a standardized aptitude test is approximately normal with a mean of 480 and a standard deviation of 100. What is the minimum score needed to be in the top 15% on this test? Carry your intermediate computations to at least four decimal places, and round your answer to the nearest integer

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Question 578343: How many ways can 2 students be chosen from 10 students?
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Question 578360: If 5 new born babies are slected randomly how many different gender sequences are possible?
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Question 578106: If the arithmetic mean of 25,30,32,x,43 is 34,then find the value of x
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Question 578570: to purchase a lottery ticket, you must select 4 numbers from 0 to 9. How many possible lottery tickets can be chosen?
I know the answer is 10,000, but how do you get to that answer?

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Question 578570: to purchase a lottery ticket, you must select 4 numbers from 0 to 9. How many possible lottery tickets can be chosen?
I know the answer is 10,000, but how do you get to that answer?

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Question 578572: John is taking a true or false quiz. There are six questions on the quiz. How many ways can the quiz be answered?
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Question 578567: A survey conducted by USA today showed that 118 of 250 investors owned some real estate. In the past it showed that 45% of investors owned some real estate. Has the number of investors that own some real estate increased? Use alpha =.01
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Question 578576: Find the probability of getting 2 face cards (king, queen, jack) when 3 cards are drawn from a deck without replacement.
Please help!!

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Question 578390: assume that x has a normal distribution, and find the indicated probablility. The mean is 60.0 and the standard deviation is 4.0. Find the probability that x is less than 53.0
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Question 578680: A GROUP OF STUDENTS WAS ASKED TO INDICATE THEIR PREFERENCE FOR REGULAR or diet soft drinks. of 14 males, 11 preferred regular softdrinks. of 11 females, 7 preferresd diet soft drinks . if a students is selected at random: given the students was a male, what would be the probabilitythat he preferred a regular softdrinks?
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Question 578667: There were 19 people at your latest Narcoleptics Anonymous meeting (there would have been more, but they wer asleep?. After the meeting everyone decides to pile into the five corporate minis and drive to the coffe shop for a CAFFEINE FIX. Unfortunately, there were 7 people who haven't been taking their medication. Find the probalilty that;
a) all five drivers have been taking medication?
b) none of the drivers are taking their medication?
c) at least one of them iss not taking medication?

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Question 578629: Consider using p-value to test H0 versus Ha by setting α equal to .10. We reject H0 at level α of significance if and only if the p-value is:
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Question 578618: A set of data is normally distributed with a mean of 500 and standard deviation of 100.
What would be the standard score for a score of 400?
What percentage of scores is between 500 and 400?
What would be the percentile rank for a score of 400?

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Question 578613: What is the p-value when we test H0 : µ = 10 versus Ha: µ < 10 and have a calculated test statistic Z = -2.41
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Question 578590: 2) According to a recent survey approximately 68% of students at this campus are women. A group of 20 students are randomly selected. What is the probability that 15 of them are women?
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Question 578703: 10 chemists and 15 biologists apply for a position in a company. If 5 people are hired at random, what is the probability that 2 are chemists and 3 are biologists?
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Question 578529: There are 4 white marbles,6 red marbles, and 2 blue marbles. Once a marble is selected,it is not replaced.Find the probability of selecting 2 blue marbles.
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Question 578731: 2people are chosen for position out of 7 men and 8 women what is probability that it will be one man and one woman chosen
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Question 578768: A four-question multiple choice quiz with choices A, B, C, D, and E. If a person taking the quiz guessed all four questions, find:
P( exactly two correct)

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Question 578753: Here is a question I can't figure out how to get started. I considered using the binomial formula but it looks like it would take ages to calculate, I must be missing the point!
Past car sales experience has shown that 22% of all luxury cars sold are black. If 45 recent sales of luxury cars are randomly selected. Find the following probabilities:
1. At least 2 cars are black.
2. Exactly 6 are black. (I attempted this one using the binomial prob. formula and got 8.9417
3. Between 1 and 4 cars (inclusive) are black.
4. No more than 3 cars are black.
5. More than 40 cars are not black.
Guessing I have to begin with n, x, p and q.
Thanks for the guidance.

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Question 578804: 3 red and 4 blue balls are in a basket. A member of PPTeam is drawing balls from the basket. What is the probablity of getting the 3 red balls simultaneously?

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Question 578786: Assume that blood pressure readings are normally distributed with a mean of 117 and a standard deviation of 5. A researcher wishes to select people for a study but wants to exclude the top 10 percent. What would be the cutoff blood pressure to qualify for the study?
a)120.5
b)117.0
c)124.6
d)123.4
e)121.8

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Question 578817: Given: P(good)= 0.70 and P(defective)= 0.30

In a sample of five items, find P(exactly four are good)

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Question 578772: Five coins are flipped.
P(exactly three tails)

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Question 578761: i would please like help with this question,
"if may of a particular year was picked at random, what is the probability that average high temperature for that may was exactly 70 degrees?"
thank you!

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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, 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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, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 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