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

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Question 73017This question is from textbook Elementary Statistics
: Classify the events as a dependent or independent. A and B where P(A)= 0.7, P(B)=0.8, and P(A and B) = 0.56
A) dependent
B) independent
This question is from textbook Elementary Statistics

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Question 73097: Change to Scientific Notation, then round.
a. 2269810. in scientific notation rounded to 4 decimal places?
b. 3579110. in scientific notation rounded to 4 decimal places?
c. 6585030. in scientific notation rounded to 4 decimal places?
d. 2746250. in scientific notation rounded to 2 decimal places?
e. 31.4432 Rounded to 2 significant digits?

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Question 73096: Please show me specific detailed answers to these question i got wrong on my test. Thankyou.
1. a. On a multiple choice test there are 6 questions and each question has 5 possible choices. If someone randomly guesses the answer for each question, what is the probability of getting exactly 5 questions wrong? Assume the answer has exactly 1 correct answer, and that the answer to any question is independent of the answer to any other question. Express your final answer as a decimal number rounded to 5 decimal places.
B. What is the probability of getting strictly less than 3 questions wrong?

2. The suits in a deck of cards are: Clubs, Diamonds, Hearts and Spades.
The 13 ranks are (lowest to highest): 2 3 4 5 6 7 8 9 10 (J)ack, (Q)ueen, (K)ing, (A)ce. There are 4 suits and 13 ranks thus there are 4x13=52 possible combinations.
Ace-clubs, 6-spades, J-hearts, king-hearts, 10-diamonds, 8-spades, Ace-spades, Queen-hearts, Ace-heearts, 7-spades, King-clubs, 3-Diamonds, 4-diamonds, 5-spades.
If you selected 1 card at random from the above 14 cards calculate the probability of...
a. Getting a heart or a card with a rank of K or higher? (Round final answer 3 decimal places).
b. Getting a card which is not a spade or a card with a rank of A or higher?
(Round final answer to 3 decimal places)

3. A charitable organization is selling raffle tickets for 5$. The first prize is a stereo system valued at 2,710. Second prize is an electric scooter valued at 970.00. The remaining prizes are 35 third prize gift certificates each valued at$40. Suppose 3500 tickets were sold, and you bought 1 ticket, what is the expected value of your net gain (or loss)?

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Question 73212: if you randomly select 2 cards from a standard 52-card deck. find the probability that the first card and the second card is red if
a: you replace the first card before selecting the second
b: you do not replace the first card

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Question 73214: what are the odds against drawing a red face card from a standard 52-card deck?
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Question 73247This question is from textbook Elementary Statistics
: In the California State lottery, you must select six numbers from fifty-two numbers to win the big prize. The numbers do not have to be in a particular order. What is the probability that you will win the big prize if you buy one ticket?This question is from textbook Elementary Statistics

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Question 73262: Three sets A,B and C and the universal set, U, are such that
n(A)=21, n(B)=30, n(C)=30, n(A∩B)=11, n(B∩C)=17, n(A∩C)=13, n(A U B U C)'=13, n(U)=60 (U=union, '=complement)
if P(X) is the probability that a randomly chosen element from the universal set is in set X determine:
a) P(A∩B∩C)
b) P(A U B)
c) P(A U C)'
d) P(A∩B∩C|A U B U C)
e) P(A|(B U C)')
f) P(A'|B')
THANKYOU

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Question 73336This question is from textbook basic statistics
: A school organization is holding a raffle. The prizes are a ski trip worth $200 and 5 secind prizes of $20 gift certificates to Ski's R Us. The club is selling 500 tickets.
a.what is the expected value of exactly one ticket?
b.If the tickets cost$1 each, what is the expected winnings someone who purchased 5 tickets?
This question is from textbook basic statistics

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Question 73213: you are eating dinner at a restaurant. the restaurant offers 6 appetizers, 12 main dishes, 6 side orders and 8 desserts. if you can order one of each of these, how many different dinners can you order?
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Question 73266: Please help.
A rushed subway traveler got on an up-escalator and also walked up. After 45 seconds he realized that he had left his briefcase at the bottom. Since he did not have access to a down-escalator, he turned and walked down the up-escalator reaching the bottom in two minutes. If he had traveled up 288 feet, find the rate of the escalator and the rate of the man in feet per second.
Please show all steps.

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Question 73795: This is statistics but im hoping you can help...
The probability of hilary running for president in 2008 is 45%, the probability for george running for president is 20%, they are both independent, what is the probability hilary runs and george doesnt?
a. 9% b.18% c.25% d.36% e.45%


a survey recorded gender and wether the student was left or right handed. if handedness and gender are independent, how many were lefty girls? total boys=66 total girls=54 total lefts=20 total rights=100
a.4 b.7 c.9 d.10


a council has 6 men and 3 women, randomly select 2 of them to co-chair a new committee whats the probability the people are the same gender?
a. 4/9 b. 1/2 c. 5/9 d. 5/8 e. 7/8


12% of ice cream cones sold are jumbo size. whats the probabilty that the first jumbo cone sold is the fourth one sold?
a. 8% b.33% c.40% d.60% e. none of these are right

looking at the above, whats the probability that there are 2 jumbos sold out of the frst 6 cones sold?
a. 11% b. 23% c. 13% d.97% e.none of these are right


you toss a coin 20 times, 15 times it lands on heads, if you flip 180 more times, how many heads will end up from the 200 total flips?
a. 100 b.105 c. 110 d.115



whats true of 2 random variables if we are to add to their variances?
a.must be disjoint
b.must be independent
c. must be both
d. must be neither


police say 40% accidents involve speeding, 25% beer, and 10% both speeding and beer
whats the probability an accident involved neither?
are they independent?


i know its a lot but i was sick for a lot of days and now my teacher isnt here so im just trying to find problems to catch up on, i dont mean to throw it all on you but i just dont understand this at all, if you know any of these answers it would help so much!
thanks!

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Question 73663: A married couple is planning to have 2 children and is interested in knowing the probabilities of having 0 girls, 1 girl or 2 girls. Assume the probability of having a girl is 0.50 in any one birth.
construct a probability distribution of the random variable x, where x is the # of girls born to this couple..
Thanks

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Question 73841: When a pair of dice is rolled, the total will range from 2 (1,1) to 12 (6,6). It is a fact that some numbers will occur more frequently than others as the dice are rolled over and over.
Why will some numbers come up more frequently than others?
Each die has six sides numbered from 1 to 6. How many possible ways can a number be rolled? In other words, we can roll (2,3) or (3,2) or (6,1) and so on. What are the total (x,y) outcomes that can occur?
How might you then estimate the percentage of the time a particular number will come up if the dice are rolled over and over?
Once these percentages have been calculated, how might the mean value of the all the numbers thrown be determined?
If you have completed the Discussion Board assignment, you have an idea of what a population distribution is. There is a very famous distribution that describes the frequency of the number of times a number comes up in a series of dice rolls. Use the Library or the Internet to see if you can find its name.

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Question 73998: 1. 3 nickels are tossed and what is the probability of all 3 landing on heads. I know the answer is 1/8, can you explain the answer to me.
2. There are 24 students and the office asks the teacher to send 3 students to bring 3 boxes back to the class. How many ways could she pick 3 students to go to the office? Please explain the answer.

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Question 74075: Evaluate 20!/18!
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Question 74041: please help me with this particular problem..thanks
Find the constant term or the term independent of x in the expansion of
(3x-5/x^2)^9.
this is a paper given as a study guide.thanks

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Question 74040: Please help me to explain how to solve this problem..thanks
3 electric lamps are to be fitted in a room. 3 bulbs are chosen at random from 10 bulbs out of which 6 work. What is the chance the room will be lighted?
this was a problem on a worksheet.

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Question 74029: Geometric and Binomial trials
Geometric: E(X)=1/p SD(X)=square root of q/p^2
Binomial: E(X)=np SD(X)=square root of npq

1. in a bowling league, the mean score for men is 154 qith a standard deviation(SD) of 9...for women it is a mean of 144 with a standard deviation of 12. at the end, they randomly pair men and women as opponets
a)what is the expected total of men and women pairs?
b)what is the Standard Deviation of the sum of the pairs?


2. 18% of adults are smokers
a)they selected a few adults at random to find out if they are smokers. explain why this is a Bernoulli trial?
b)how many people do you expect to ask to find a smoker?
c)whats the probability that there are at least 8 smokers among a sample of 30 people?


3. 70% of drivers wear seatbelts. there was a random sample of 500 drivers taken.
a)use a Binomial model to find the probablity that at least 350 drivers are wearing seatbelts?
b)use a Binomial model to find the probablity that no more than 400 drivers are wearing seatbelts?


im very lost on these problems so if you could help, id be so greatful!

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Question 74150: an olymp[ic archer is able to hit the bullseye 80% of the time. assume each shot is independent of the othjers. if she shoots 6 arrows, whats the probability of the result below?
a) the 1st bullseye comes on the 3rd arrow
b)she misses the bullseye at least once
c)the 1st bullseye comes on the 4th or 5th arrow
d)gets exactly 4 bullseyes
e)gets at least 4 bullseyes
f)gets at most 4 bullseyes

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Question 74166: Dr. Easy saw the scores from the MA-222 test and used the occasion to test the old adage that girls are smarter than boys on subjects tested by ACT. Assume the degrees of freedom for this problem is 28. Dr. Easy did the arithmetic and found the value of the test statistic was 2.69 (alpha equals .05). What is the critical value (3 decimal places of significance)? If the mean of the boys score was lower than the mean of the girls score can she reject her null hypothesis? Yes or No.
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Question 74164: Inspection of student data generated during pre/post treatment surveys shows that among 10 subjects, 7 had higher scores after an experimental treatment, 2 had lower scores, and 1 score did not change. Using the traditional method of hypothesis testing, we need to determine if the experimental course has any effect. Use an alpha level of .01. If the computed test statistic is 2.36, what is the critical value (2 decimal places of significance, and did the experimental course make a difference (Yes or No))?
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Question 14994: Hi could you please help me with this problem:
A certain drug has an 80% success rate in relieving the symptoms of migraine.
In a group of 12 patients what is the probability that;
6 are helped by the drug
At least i is helped by the drug
No more than 2 are still suffering the effects of migraine
Thanks

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Question 14857: Dave, Talor and lindsay created their own board game. one of the players tosses two coins.
Dave moves one space if the result is 2 heads.
Taylor moves one espace if the result is 2 tails.
Lindsay moves one espace if the result is 1 heald and 1 tail.
does each of the players have an equal chance of winning the games ?
*if you think the players have equal chances, find the probability that each of the players will win. explaine how you know your answer is correct.
*if you think the players do not have equal chances, explain in detail why you think they do not.
lpese help I don`t understand very vell the probability

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Question 14625: First of all, thaks for helping in advance...
Here's the problem
Suppose there are 10 items on a true-false test. The person taking the test does not read the questions; he just answers each question randomly. What is the probability of his guessing all answers correctly?
I ended up with 1/512...but I started this a while ago and now I've forgotten how I got to that. Any help would be great.
Thanks,
Liz

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Question 74434: How many words can be formed from the letters of the word MATHEMATICS?
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Question 74421: How many words can be formed from the letters of the word MATHEMATICS?
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Question 74469: A die is rolled twice
What is the probabilty of both being a 6

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Question 14613: It has been estimated that eighty percent of people with coronoary disease have chest pain syptom and twenty-five percent of people without the disease have chest pain symptoms. A person visits a doctor with chest pain symptom, what are the probabilities of the following events?
a) the person has coronary heart disease
b)the person does not have coronary disease.
I have just started my module on probability, I know this maybe pretty basic stuff, but would appreciate any help that will make it easier for me to understand the subject,thanks in advance.

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Question 74535: use this data.

subject actually told the truth and polygraph indicated truth 65
subject actually told the truth and polygraph indicated lie 15
subject actually told a lie and polygraph indicated truth 3
subject actually told a lie and polygraph indicated lie 17
Q1. If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told a lie.
Q2.If 1 of the 100 subjects is randomly selected, find the probability of getting someone for whom the polygraph test indicted that a lie was being told.
Q3.If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told a lie or had the polygraph test indicated that a lie was being told.
Q4.If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told the truth or had the polygraph test indicate that the truth was being told.
Q5. If 2 diffrent subjects are randomly selected, find the probability that they both told the truth.
Q6.If 2 different subjects are randomly selected, find the probability that they both had the polygraph test indicate that a lie was being told.
Q7.If 1 subject is randomly selected, find the probability that he or she told the truth, given that the polygraph test indicated that a lie was being told.
Q8. If 1 subject is randomly selected, find the probability that he or she has a polygraph test indication that a lie was being told, given that the subject actually told the truth.
Thank you i look forward to your answers.


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Question 13912: This is my problem: Three boys and two girls want to be on the softball team. If the coach chooses two of them at random, what is the probability that:
one boy and one girl will be chosen?
two boys will be chosen?
two girls will be chosen?
I already submitted it to my teacher and got it wrong...help! Thank you!

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Question 74534: use this data.

subject actually told the truth and polygraph indicated truth 65
subject actually told the truth and polygraph indicated lie 15
subject actually told a lie and polygraph indicated truth 3
subject actually told a lie and polygraph indicated lie 17
Q1. If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told a lie.
Q2.If 1 of the 100 subjects is randomly selected, find the probability of getting someone for whom the polygraph test indicted that a lie was being told.
Q3.If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told a lie or had the polygraph test indicated that a lie was being told.
Q4.If 1 of the 100 subjects is randomly selected, find the probability of getting someone who told the truth or had the polygraph test indicate that the truth was being told.
Q5. If 2 diffrent subjects are randomly selected, find the probability that they both told the truth.
Q6.If 2 different subjects are randomly selected, find the probability that they both had the polygraph test indicate that a lie was being told.
Q7.If 1 subject is randomly selected, find the probability that he or she told the truth, given that the polygraph test indicated that a lie was being told.
Q8. If 1 subject is randomly selected, find the probability that he or she has a polygraph test indication that a lie was being told, given that the subject actually told the truth.
Thank you i look forward to your answers.


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Question 74581: Given a normal distribution with µ = 100 and σ = 10, if you select a sample of n = 25, what is the probability that X bar is
a. less than 95?
b. Between 95 amd 97.5?
c. Above 102.2?
d. There is a 65% chance that X bar is above what value?

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Question 13026: Alexia has spread her collection of 20 rectangular stamps on a circular table. the table is 4ft in diameter, and each of the stamps is 2 in.x 1 1/2 in. Unfortunatley, a drop of ink from Alexia's pen flies off and lands randomly somewhere on the table. what is the probability that the tink will land on one of her stamps?
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Question 74636: This is my question--From an urn containing 7 red and 4 green balls, in how many ways can we draw a set of 5 balls of which 3 are red and 2 are green?
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Question 74693This question is from textbook Elementary Statistics
: In a recent survey, 66% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen, find the probability that exactly 11 of them favor the building of the police substation.This question is from textbook Elementary Statistics

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Question 74790: A card is drawn from a standard 52-card deck and then replaced, and then a second card is drawn. What is the probability that a heart is drawn and then a king, in that order?
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Question 74867This question is from textbook
: A flashlight has 6 batteries. 2 of which are defective. If 2 are selected at random without replacement, find the probability that both are defective?
The probability that none are defective are 4 out of 6 and then after i don't know where to go.
This question is from textbook

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Question 74918: I am a very frustrated mother trying to help my son pass algebra. You have helped before with great success. I have 3 problems I am trying to help him with. If you would be so kind as to help.
1) A wallet contains four $5 bills, two $10 bills, and eight $1 bills.
A) If two bills are selected with the first bill being replaced. Find P ($5 and $5)
B)If two bills are selected WITHOUT the first bill being replaced Find P ($10 and $1)

2) A blue die and red die are rolled. Find the probability that an odd number is rolled on the blue die and a multiple of 3 rolled on the red die.
3) How many ways can you make a four digit combination if:the digits can be repeated (HInt 0 is also a digit)

P.S. Do you do one-on-one online tutoring or know someone who does?
Thank You
Mother trying to help her son

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Question 74924: Identify probability values.
Which of the following values cannot be probabilities? and why?
0, 1, -1, 2, 0.0123, 3/5, 5/3,

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Question 75341: Consider the following frequency table of the performance ratings on a scale of 1–good, 2–fair, and 3–poor, bestowed on their local baseball team by a collection of 100 fans:
Rating Frequency

1 20
2 30
3 50

The cumulative relative frequencies for each performance rating are
a. 1–20%, 2–30%, 3–50%
b. 1–20%, 2–50%, 3–100%
c. 1–80%, 2–70%, 3–50%
d. 1–50%, 2–30%, 3–20%

Thank You

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Question 75340: The shortest player in a random sample of 50 male NBA basketball players measured in at 67 inches in height. The tallest player’s height was 88 inches. The frequency table that you are constructing in order to display the results of this study should contain _____________ height classes, and the size of each class should be ____________ inch(es).
a. 10, 1
b. 9, 2
c. 8, 3
d. 7, 3
Thank You!!

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Question 75339: Consider the following frequency table of males and females in a duplicate bridge club:
Classification Frequency

Males 20
Females 30


The relative frequency percentages are _________% males and _________% females.
a. 20, 30
b. 33, 66
c. 40, 60
d. 60, 40
Is the answer 20% males and 30% females?
Thank You

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Question 75276: 1. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure she has one of each color?
2. Sally can paint a house in 4 hours and John can paint the same house in 6 hours. How long will it take for both of them to paint the house together?

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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