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

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Question 866798: Please help me solve this problem.
Suppose the height of men are normally distributed with mean of 69.5 inches, and standard deviation of 2 inches. Suppose admission to a summer basketball camp requires that a camp participant must be in the top 15% of men's heights, what is the minimum height that a camp participant can have in order to meet the camp's height admission requirement?
THANK YOU!

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Question 866800: I need your help
In Europe, 88% of all households have a television. 56% of the households that have a television also have a VCR. What is the probability that a household selected at random has a television and VCR?
Thanks!!

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Question 866813: I need help with this problem.
Real Estate ads suggest that 53% of homes for sale have garages, 22% have swimming pools, and 5% have both features. What is the probability that a home for sale has a pool or garage?
Thank You!

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Question 866796: Please help me solve this problem.
The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 530 and a standard deviation of 180. If a college requires a student to be in the top 30% of students taking this test, what is the minimum score that such a student can obtain and still qualify for admission at the college?
thank you!

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Question 866722: You draw two cards from a standard deck of cards (52 total cards), without replacing the first card before your second draw. What is the probability that both cards are either a king or a queen?
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Question 866722: You draw two cards from a standard deck of cards (52 total cards), without replacing the first card before your second draw. What is the probability that both cards are either a king or a queen?
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Question 866493: Student ID codes at a university contain two letters followed by two digits 0-9 and then another two letters. All codes are equally likely. Find the number of possible student ID codes.

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Question 866867: Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find P(X = 1). (Round your answer to three decimal places.)
This is what i tried;
(4/52)*(48/52)
(192/2704)
.071
However, my online class says it is wrong. Thanks in advance!

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Question 866860: what is the probability of getting a sum of 6 or at least one 4 in the roll of a pair of dice?
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Question 866860: what is the probability of getting a sum of 6 or at least one 4 in the roll of a pair of dice?
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Question 866705: 1. Consider the numbers 2, 3, 4, 5, 6, and 7. How many two-digit numbers can be formed from these numbers if
a. Repetition is not allowed?
b. Repetition is allowed?

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Question 866705: 1. Consider the numbers 2, 3, 4, 5, 6, and 7. How many two-digit numbers can be formed from these numbers if
a. Repetition is not allowed?
b. Repetition is allowed?

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Question 866942: Suppose that at your job you are randomly given one day off every week.
During a three-week time period, what is the probability that you get Saturday off at least once?

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Question 866886: The mathematics faculty at a college consists of 8 professors, 11 associate professors, 7 assistant professors, and 11 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.
the probability is

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Question 866946: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 60% of this population
prefers the color red. If 18 buyers are randomly selected, what is the probability that exactly 15 buyers would prefer red?

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Question 866951: What is the probability that 11 out of 11 people would answer a yes/no question with yes? And how did you figure that out?
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Question 866978: The number of candies put in each package is normally distributed. The mean number of candies per package is 200 with a standard deviation of 10. A package of candies will be accepted only if there are between 175-200 candies in the package. Out of 5000 packages, about how many will have to be rejected?
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Question 866954: Environmental protection lobbyists interviewed 100 University students at random, asking the following question: “Should our lawmakers turn a blind eye to the defilement by mountaintop removal mining, or instead pass this law?” 80 of the 100 students surveyed were in favor of the proposed law.
Based on these results, suppose that you pick 2 students at random. What is the probability that at least one of the two of them is in favor of the proposed law? What theory of probability are you using in making this determination and why?

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Question 866882: suppose a single fair die is rolled. Find the probability that it is a 3, given that it is an odd number.
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Question 866989: A fair coin is tossed four times. What is the probability of obtaining
a.exactly one head
b.Tails on each of the first 3 tosses
c.Four heads

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Question 867001: 4. Five percent of all credit card holders eventually become delinquent. The probability, rounded to four decimal places, that in a random sample of 21 credit card holders, exactly 3 will become delinquent is:
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Question 867019: for the number 2250, how can I find out how many whole numbers it is divisible by
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Question 867019: for the number 2250, how can I find out how many whole numbers it is divisible by
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Question 867017: 9. It costs $7.00 to play a very simple game in which a dealer gives you one card from a deck of 52 cards. If the card is a heart, spade, or diamond, you lose. If the card is a club other than the queen of clubs, you win $11.50. If the card is the queen of clubs, you win $50.00. The random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. What is the mean of x, rounded to the nearest penny?
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Question 866995: A bag of 10 jellybeans consists of 6 cherry and 4 licorice. 3 jellybeans are selected.
a.Find the probability that 2 cherry and 1 licorice are selected.
b.Find the probability that all 3 are licorice.

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Question 866996: The "Jerry Built Company" manufactures 20% of the washing machines in a small town. The probability of a washing machine breaking down within a year is .05. The probability of a washing machine made by the "Jerry Built Company" breaking down within a year is .15.
Use the Test for Independence to determine if the events J = “made by the Jerry Built Company” and B = “breaks down within a year” are independent.

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Question 866993: a true-or-false quiz has five questions. Use a simulation or a sample space to find the probability of guessing at random and getting three correct answers
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Question 866841: Please help...
1. A population has a standard deviation of 2 and a z-score = -1.00. In this population, what is the mean?
2. What is the probability of randomly selecting a z-score greater than z= -.30 from a normal distribution?

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Question 867107: I have tried it several times but still manage to get a different answer. This is the question: A bag contains 6 black marbles, 4 white marbles, and 5 red marbles.
a) 2 marbles are drawn at random with replacement, find the probability that both marbles are black.
This is what I did: 6/15 * 5/15 and I got 2/15. I ,however, do not think that is the correct answer. My classmate got 4/25. I would appreciate your help very much. Thank you for your consideration.

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Question 867113: The probability that Mary will win a game is 0.02, so the probability that she will not win is 0.98. If Mary wins, she will be given $200; if she loses, she must pay $18. If X = amount of money Mary wins (or loses), what is the expected value of X? (Round your answer to the nearest cent.)

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Question 867133: 1840 people were surveyed . 161 of those people bought a mower . 343 bought a snow blower .1381 didn't buy either of the two .
How many people bought both a mower and snow blower?
How many people bought at least one of the two ?

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Question 867135: In a certain town 37.2% of the voters are democrats and 62.8% if the voters are republican .in last election 34.4% of the democrats and 37.3% of the republicans voted
If a citizen who voted in the last election is randomly selected , what is the probability that they are a democrat ?
If a citizen who is a republican is randomly selected , what is probability that they did not vote in the last election ?

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Question 867150: there are one hundred clowns how many ways can a team of 9 be created

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Question 867144: of 1108 people surveyed, 68% say that summer is their favorite season. What is the probability that at least 15 of 20 randomly selected people will prefer summer?
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Question 867140: 1. A woman pays a premium of $260 per year for a $20,000 life insurance policy. The probability that she will live for another year is 0.992. What is the expected value for the life insurance policy?

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Question 867153: I need help with finding the ratio as of a fraction in simplest form of the number of freshman to the total class enrolment. If a class has an enrollment of 26 freshmen and 14 sophomores.
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Question 866928: #1 Compute the sample mean and Standard Deviation for the data set.
497,193,328,155,326,245,270
I did get the mean part and its 2014/7=287.71 is that right?
i did do the SD part kind of and here what i got for 497-287.71=209.29,193-287.71=-94.71,328-287.71=40.29,155-287.71=-132.71,326-287.71=38.29,245-287.71=-42.71 and 270-287.71=-17.71. i added them and did not add to zero. i need help on that.
#2
a) Calculate the median of the data set
480,790,1000+,350,920,860,570,1000+,170,290
b)
Could you accurately calculate the mean for this data set? why or why not?

#3
Calculate the IQR for this data.
140,195,155,115,195,180,110,110,130,50,60
#4
a) Compute the mean for this data.
17=1,18=8,19=2,20=3,21=3,21=1,23=1,25=1,69=1 all adds to 18/20=0.9 right?
b)Compute the median for this data.
c) Which measure of center is best for this data and why?
#5Compute the sample mean and sample standard deviation for this data.
i got the mean its 532/11=48.36. Here are the numbers= 62,23,27,56,52,34,42,40,68,45,83 same thing i did as in #1 but i add it and its not zero.
#6 which of the two groups has the most varability with respect to caffeine per ounce? Explain your choice in words and show all math calculations you did to arrive at your decision.
Top-Selling Energy Drinks= 9.6,10.0,10.0,9.0,10.9,8.9,9.5,9.1
High-Caffeine Energy Drinks= 21.0,25.0,15.0,21.5,35.7,15.0,33.3,11.9,16.3,31.3,30.0
I NEED IT BY NEXT TUESDAY THE 29TH BY 11:59PM. THANK YOU SO MUCH.

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Question 867157: Can you assist me showing me step by step finding the ratio as a fraction in simplest form of the amount spent on salaries to the total income for the month. Problem: A company spends $150,000 a month on salaries out of a total income of $750,000.
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Question 867157: Can you assist me showing me step by step finding the ratio as a fraction in simplest form of the amount spent on salaries to the total income for the month. Problem: A company spends $150,000 a month on salaries out of a total income of $750,000.
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Question 866859: Please help me solve this;44% OF ADULTS SAY CASHEWS ARE THEIR FAVORITE KIND OF NUT. YOU RANDOMLY SELECT 12 ADULTS AND ASK EACH TO NAME HIS OR HER FAVORITE NUT. FIND THE PROBABILITY
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Question 866777: P(x > a)
a=17
x=30

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Question 867170: Can any expert with math help me with this problem?
Count the probbaility of a bionominally distrubited random variable X to get the value of k = 0,1,2,3 for the occassions (n=10,p=0,1), (n=20,p=0,05), (n=100,p=0,01).
Count approximately the same probability, using the approach of Poisson for the bioniminal distribution.

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Question 867171: Mr. Smith takes the Interstate to attend a wedding with a probability of 0.4, and the Metro to attend a wedding with a probability of 0.6. If he takes the Interstate to attend a wedding, the probability that he arrives late is 0.8. If he takes the Metro to attend a wedding, the probability that he arrives late is 0.4.
What is the probability that Mr. smith arrives late?

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Question 867168: Help please! Thank you in advance...
The number of calls that start every minute in a network of mobile telephony has a distribution of Poisson, and we observe that on average 40 calls of that kind take place at a minute. What is the probability that 35 calls of that kind take place in a minute?

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Question 867167: Need your help with this one, cause i am completely stuck.
Let X binominal variable with parameters N, p.
It is reminded that X expresses the number of successes that occur from the execution of N independent Bernoulli experiments, each of them with probability of success p.
a) Given that X=1, find the probability that the unique success came from the first experiment.
b) Given that X=2, find the probability that the 2 successes happened at the first two experiments.
c) Taking into consideration the answers on the previous two questions, suppose that X=k, where 1<=k<=N and say what you notice about the way the k successes are distributed.

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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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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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