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

Algebra ->  Algebra  -> Probability-and-statistics -> Questions on Algebra: Probability and statistics answered by real tutors!      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Tutors Answer Your Questions about Probability-and-statistics (FREE)


Question 116714: hi please help me with this. this is only what i am not done with an have to hand this in tomorrow. it is already 10 at night here. I am really worried
please help me


Kayla has 1.5 m (squared) of sheet metal to build a storage box for firewood.
a) what is the surface area of the metal , in square centimeters?

b) What are the dimensions for this square based prism box with maximum volume including a lid ?

c)If the box doesnt have a lid, what are the dimensions of the square based prism. Round off to the nearest tenth of a centimeters.hint( make a table of possible boxes)

any help will be apreciated
for a) i think the area is 150 cm squared

for B according to my calculations the dimensions are 5 x 5 x 5 cm and the volume is 125 cm (cubed)

I dont know if my answers are correct and I am stuck on c)

any help will be greatly appreciated . Please help me
I need help desperately

Click here to see answer by bucky(1732) About Me 

Question 116775: Four people sit around a circular table, and each person will roll a standard sixsided die. What is the probability that no two people sitting next to each other will roll the same number after they each roll the die once? Express your answer as a common fraction.
Click here to see answer by edjones(3291) About Me 

Question 116666: Kayla has 1.5 m (squared) of sheet metal to build a storage box for firewood.
a) what is the surface area of the metal , in square centimeters?
b) What are the dimensions for this square based prism box with maximum volume including a lid ?
c)If the box doesnt have a lid, what are the demensions of the square based prism. Round off to the nearest tenth of a centimeters.hint( make a table of possible boxes)
any help will be apreciated
for a) i think the area is 150 cm squared
for B according to my calculations the dimensions are 5 x 5 x 5 cm and the volume is 125 cm (cubed)
I dont know if my answers are correct and I am stuck on c)
any help will bw greatly appreciated . Pleas ehelp me
I need help desperately

Click here to see answer by stanbon(26259) About Me 

Question 116941: This is not text book - statistics homework and it's rough!
The score on the entrance test for a well known law school has a mean score of 200 points and a standard deviation of 50 points. At value should the lowest passing score be set if the school wishes only 2.5% of those taking the entrance test to pass?

Click here to see answer by stanbon(26259) About Me 

Question 116997: This is one question amounst a few more that I have to answer within a essay regarding the Law of Large numbers, is there any way you can help me explain this one please.
Explain your answer to the following question: Is it true that if I get tails 3 times in a row that my chances of getting heads on my next toss is greater than 50%?

Click here to see answer by MathLover1(1183) About Me 

Question 117060: Factorial expressions
Find the value of the following:
11!11!
------
13!10!

If your answer is not an integer, write it as an exact fraction.






Click here to see answer by stanbon(26259) About Me 

Question 117016: Can anyone help me with this? I have no idea which or how to formulate this. I haven't gotten this out of a text - it's homework - help:(
A consumer electronics firm has developed a new type of remote control button that is designed to operate before becoming intermittent. A random sample of 35 of new buttons resulted in a mean of 1,241.2 hours of continuous service with a standard deviation of 110.8 hours. The current best remote control button in the market has a mean life of 1200 hours. Can we conclude that the new remote control button is superior to the current best product in the market?

Click here to see answer by stanbon(26259) About Me 

Question 117140: Given a single deck of cards, what is the probability of drawing either a king or a diamond? Hint – There are four kings in a deck and 13 diamonds. There are a total of 52 cards in a single deck.
Click here to see answer by checkley71(8405) About Me 

Question 117138: 200 people were sampled and the following table shows the number of people with a certain average electric energy usage based upon the type of home an individual lives in:

Electric Usage (in kWh)
Type of Dwelling < 5,000 5,000 – 7,000 7,000 – 11,000 11,000 – 15,000 Total
Single Family 15 35 65 25 140
Multi-Family 25 15 15 5 60
Total 40 50 80 30 200
a) What is the probability of selecting someone who uses between 7,000 and 11,000 kWh?
b) What is the probability of randomly selecting someone who uses less than 5,000 kWh and who lives in a multi-family dwelling?
c) What is the probability of selecting someone who lives in a single family dwelling or uses between 5,000 and 7,000 kWh?

Click here to see answer by stanbon(26259) About Me 

Question 117133: 1) A sample of PVC pipes coming off a production line were tested for pipe diameter size. The statistical results (in millimeters) were:
Mean 300
Median 300
Mode 300
Standard Deviation 15
Range 90
Number in Sample 100
a) According to the Normal Rule, what percent of the pipes had diameters between 285 and 315?
b) What would the range of pipe diameters need to be in order to capture 95% of the pipe diameters?

Click here to see answer by stanbon(26259) About Me 

Question 117183: A total of 15 children who had fluoride treatment were compared with 15 that did not. of those who used fluoride the mean number of cavities was .8 with s1 equaling .07. for those who did not use fluoride was 1.4 with s2 equaling .09. test the hypothesis that there is no difference between these two groups of children at the .05 significance level, and show all work supporting your conclusion and the method you used.
Click here to see answer by stanbon(26259) About Me 

Question 117088: The score on the entrance test for a well known law school has a mean score of 200 points and a standard deviation of 50 points. At value should the lowest passing score be set if the school wishes only 2.5% of those taking the entrance test to pass?
Click here to see answer by stanbon(26259) About Me 

Question 117337: Although the Pacific Ocean, Baltic Sea, and Arctic Sea represent three bodies of water, when added together, their sum yields seven Cs. Using the nine digits {0,2,3,4,5,6,7,8,9} substitute a different digit for each letter to make a true sum for PACIFIC + BALTIC + ARCTIC = CCCCCCC. Notice that 1 is not a possible digit for this problem. Your task is to provide the value of the word PACIFIC.
Click here to see answer by scott8148(3382) About Me 

Question 117391: Please help!!
Suppose that scores on a particular test are normally distributed with a mean of and a standard deviation of . What is the minimum score needed to be in the top of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place.

Click here to see answer by stanbon(26259) About Me 

Question 117457: A bag contains 10 blue, 6 red, and 4 green rubber balls. If you select a ball at random from the bag, what is the probability of not choosing a green ball?

A. 1/5
B. 4/5
C. 5/6
D. 9/10
Why can you eliminate choice D in this question?

Click here to see answer by Edwin McCravy(2920) About Me 
Question 117457: A bag contains 10 blue, 6 red, and 4 green rubber balls. If you select a ball at random from the bag, what is the probability of not choosing a green ball?

A. 1/5
B. 4/5
C. 5/6
D. 9/10
Why can you eliminate choice D in this question?

Click here to see answer by Fombitz(2113) About Me 

Question 117455: This is a question I need total help with

Consider the following multiple-choice question:
A friend hides 12 yellow eggs and 16 purple eggs for you to find in an egg hunt. What is P(yellow) for the first egg you find?

A. 1/4
B. 1/3
C. 3/8
D. 3/7
Explain why you can eliminate choices B and C.
What is the correct answer to the question?

Click here to see answer by bucky(1732) About Me 

Question 117479: Hi, I am stuck in the middle of a probability and stats assignment and could use some insight.
My question is that is it true that if I flip a coin 1,000 times, I will get heads 500 of those flips and I need to explain. If its true than I dont understand what an explanation is needed for.
I appreciate any help.
B.Cook

Click here to see answer by Fombitz(2113) About Me 

Question 117591: A potato chip company packages its potato chips into 12.0 ounce bags. You find it hard to believe that the bag contains enough potato chips to weigh 12.0 ounces and would like to make an official complaint. Before doing so, you decide to run an experiment so that you can have some confidence that the company’s claim is incorrect. Over the next several months you buy 30 bags of potato chips and weigh the contents of each one. You discover that the mean weight is 11.9 ounces with a standard deviation of 0.4 ounces. You decide that you will only complain if you can be 95% sure that the bags do not contain at least 12.0 ounces of potato chips. You decide to construct a hypothesis test.

Task:

A. Determine if this is a one-tailed or two-tailed test. Justify your decision.

B. State the null hypothesis and alternative hypothesis. Your null hypothesis should assume the company’s claim is correct.

C. Define the term Type I error and explain what a Type I error is in terms of this problem.

D. Define the term level of significance and identify the level of significance for this problem.

E. Calculate the test statistic as a z-score. Show all relevant work.

F. Using a standard table, you determine that the critical value is –1.645. Determine if you are able to reject the null hypothesis and explain how you reached this conclusion. (Your conclusion should include a comment relating the results to the original problem.)


Click here to see answer by stanbon(26259) About Me 

Question 117019: Given:

A potato chip company packages its potato chips into 12.0 ounce bags. You find it hard to believe that the bag contains enough potato chips to weigh 12.0 ounces and would like to make an official complaint. Before doing so, you decide to run an experiment so that you can have some confidence that the company’s claim is incorrect. Over the next several months you buy 30 bags of potato chips and weigh the contents of each one. You discover that the mean weight is 11.9 ounces with a standard deviation of 0.4 ounces. You decide that you will only complain if you can be 95% sure that the bags do not contain at least 12.0 ounces of potato chips. You decide to construct a hypothesis test.
Task:

A. Determine if this is a one-tailed or two-tailed test. Justify your decision.

B. State the null hypothesis and alternative hypothesis. Your null hypothesis should assume the company’s claim is correct.

C. Define the term Type I error and explain what a Type I error is in terms of this problem.

D. Define the term level of significance and identify the level of significance for this problem.

E. Calculate the test statistic as a z-score. Show all relevant work.

F. Using a standard table, you determine that the critical value is –1.645. Determine if you are able to reject the null hypothesis and explain how you reached this conclusion. (Your conclusion should include a comment relating the results to the original problem.)

Click here to see answer by stanbon(26259) About Me 

Question 117334: On Monday, Anthony tiled a 10-by-10 foot area with one-foot square ceramic tiles. A day later, Anthony noticed that two of the one-foot tiles were cracked. If the cracks randomly occurred after the tile was laid, what is the probability that the two cracked tiles share a common edge with each other? In other words, two cracked tiles are next to each other (but not diagnal)?
Click here to see answer by stanbon(26259) About Me 

Question 117135: Calculate the Standard Deviation of the following list of data: 6, 7, 8, 9, 10
Click here to see answer by stanbon(26259) About Me 

Question 117726: If I flip a coin 3 times, and get tails all 3, the probability of getting heads on the next toss is greater than 50%? I'm not sure if this is a correct answer and any help would be appreciated.
Click here to see answer by stanbon(26259) About Me 

Question 117732: Please answer this question for me.
The following data is a random sample of 1st quiz scores from previous Research 342 classes.
9.5, 6.5, 4.25, 8.5, 7.5, 4.5, 4.25, 6, 7
X = 6.44 S = 1.89
A) Based on the above data, find a 95% confidence interval for the average score on the 1st quiz.
B) Describe what the confidence interval tells you

Click here to see answer by stanbon(26259) About Me 

Question 117731: Please answer this question for me.
A random sample of 100 students who took a statistics exam were asked their score on the exam. The mean score on the test was 50; the standard deviation was 10. The scores are normally distributed.
A) What percent of the students scored below 30?

B) What percent scored between 30 and 55?

Click here to see answer by stanbon(26259) About Me 

Question 117730: Please answer this question for me.
A local bakery determines that the probability of a customer ordering a blueberry muffin is 50%. 5 customers come into the bakery.
A. What is the probability that 3 out of the 5 order a blueberry muffin?
B. Explain why this scenario would meet the criteria of a binomial distribution.


Click here to see answer by stanbon(26259) About Me 

Question 117745: I have to define the Law of Large Numbers in an assignment and I need to be able to cite a credible source for it. I also have to define it in my own words which I can do but I cannot find a credible source to use as a citation.
Can anyone steer me in the right direction? Thank you SO much!

Click here to see answer by stanbon(26259) About Me 

Question 117729: Please answer this question for me.
Assume the following summary statistics, which describe the speed of a computer processor, are available from a sample of Intel Pentium IV chips manufactured at the company’s Arizona chip plant (values are in Megahertz):
Modal Speed: 3200
Median Speed: 3400
Mean Speed: 3600
S.D. Speed: 100
A. According to these statistics, how are the data distributed (i.e. left skew, normal, right skew)?
B. According to Chebyshev’s Theorem, what minimum proportion of processors have speeds between 3400 and 3800?

C. Assume Intel uses the mean speed as the accepted speed of their processors for advertising purposes. Given how the data are distributed, do you believe this could be misleading to P.C. buyers or not?

Click here to see answer by stanbon(26259) About Me 

Question 117769: You are equally likely to get one of four prizes when you buy Good Morning Cereal. You want to use a simulation to find the probabilty of getting all four prizes when you buy four boxes of cereal. Which of the following is NOT a true statement? Choose A,B,C, or D.



A.) You can simulate the problem by using a spinner divided into four equal section
B.) A possible answer is four boxes.
C.) The more trials you perform, the better your results should be.
D.) The result of your simulation is an experimental probability.

I need this today A.S.A.P Thanks so much!

Click here to see answer by psbhowmick(456) About Me 

Question 117728: Please answer this question.
1) The following are the first Quiz scores from a previous class:
9.5, 7.5, 9.5, 7, 10, 7.5, 6.5, 1.5, 8, 10
A. Is this data discrete or continuous and why?
B. Develop a frequency distribution showing all frequencies, cumulative frequencies, and relative frequencies.
C. Calculate the Variance and Standard Deviation and describe what they tell you in the context of this problem.

Click here to see answer by stanbon(26259) About Me 

Question 117622: Please help me with this
Teacher comments: Please explain more completely how at least one of the uncontrolled variables would impact the reliability of the results of the experiment. The answers to part B could not be found. The answer to part C could not be found. Consider, for example, if the researcher had put boys in one group and girls in the other group. Discuss the reliability of any conclusion about toothpaste brand. The answers to part D could not be found.________________________________________
My Answer: it seems that any variation in the brushing of teeth was addressed in the
"detailed directions describing when and how they should brush their teeth"
there was a 6 month evaluation, but how was a base line established?
___ all the same dentist? visual check or x-rays? what constitutes a "cavity"?
things that come to mind that would affect the "number of cavities"
___ diet - what did they eat? candy eaters? milk drinkers? "fast" food? vitamins? -
this may be influenced by ethnicity or socioeconomic factors
___ genetics - susceptibility to cavities is not uniform
___ number of teeth - children lose and replace them
___ is everyone's water fluoridated - or not? - bottled water?


Given:

A scientist was hired to determine which brand of toothpaste is more effective in preventing cavities in children. Thirty children volunteered to participate in the experiment from which the scientist randomly created two groups of 15 children. The first group was given Brand A toothpaste, and the second group was given Brand B toothpaste. All of the children were given detailed directions describing when and how they should brush their teeth. After six months the children were taken to the same dentist and the number of cavities each child had was recorded. This data was used to determine which toothpaste is more effective.

Task:

A. Identify something the scientist tried to control in this experiment. Identify something the scientist did not consider controlling or was unable to control in this experiment and explain the adverse effects this might have had on the collected data.

B. Explain how replication was used in this experiment and why it is important.

C. The scientist randomly created the two groups. Instead, the scientist could have created the two groups based on some common characteristic, such as age or gender. Explain the adverse effects this might have had on this experiment.

D. Explain the role comparison plays in experiments and specify what was compared in this experiment.


Click here to see answer by BrittanyM(80) About Me 

Question 118180: this is an word problem:
'x' says that the number of days before he dumps the books and mascot into a lake is epual to the number of possible 5 card hands in a standard deck of cards with 3 kings and 2aces. How am i supposed to know how many days that is?
Can you help me please? i would appreciate it ALOT!

Click here to see answer by stanbon(26259) About Me 

Question 118181: with 28 possible hideouts for 'x', what is the probability that i wouldn't find before he destroys the books that he stole.
can you help me with this problem?
thank you very much

Click here to see answer by stanbon(26259) About Me 

Question 118212: In the lottery there are 54 numbers to choose from. You have to choose 6 numbers. Wouldn't there only be 324 different combinations that could win?
Click here to see answer by stanbon(26259) About Me 

Question 118248: I am trying to find out what the advantages and limitations of cluster sampling over random sampling.
Any help would be greatly appreciated.

Click here to see answer by stanbon(26259) About Me 

Question 118322: A toy is assembled from 3 parts.If the probability that each part is defected is 0.1.Calculate the probability that the toy is defective.
Click here to see answer by stanbon(26259) About Me 

Question 118388: An electronic assembly consists of 2 sub systems A and B. from the previous testing procedures the following probabilities are known:
P(A fails)=0.2
P(B fails alone)=0.15
P(A and B fails)=0.15
evaluate P(A fails given B fails) {conditional probability}
and
P(A fails alone).

Click here to see answer by stanbon(26259) About Me 

Question 118420This question is from textbook
: I am having a hard time figuring out the solution to this problem.
A carton contains 12 eggs, 3 of which are cracked. If we randomly select 5 of the eggs for hard boiling, what is the probability of the following events?
a. All of the cracked eggs are selected.
b. None of the cracked eggs are selected.
c. Two of the cracked eggs are selected.
Any help is greatly appreciated!
This question is from textbook

Click here to see answer by stanbon(26259) About Me 

Question 118449: A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches. To test this claim against the alternative that the actual proportion of doctors who recommend aspirin is less than 0.90, a random sample of 100 doctors results in 84 who indicate that they recommend aspirin. The value of the test stastistic in this problem is approximately equal to:
A. -4.12
B. -2.33
C. -1.86
D. -0.07

Click here to see answer by wgunther(43) About Me 

Question 118523: A Pizza Place offer 10 different toppings.
1. How many different pizza are possible?
2. How many different 3 topping pizza are available?
3. You diciding to oreder up to 4 topping on your pizza, How many possible
pizza are there?

Click here to see answer by stanbon(26259) About Me 

Question 118547: Dear Tutors,
I have a question.


You work at a T-Shirt printing business. 564 of 4,700 T-Shirts shipped are printed improperly. Here is the question:


What is the experimental probability that a T-Shirt is printed improperly?

Any help would be great!!!!-Jasmine

Click here to see answer by tutor_paul(424) About Me 

Question 118548: Write a brief essay (suggested length of 2 pages) in which you address the following:

A. Define “association” in statistics. Explain how association is identified and demonstrated.

B. Define “causation” in statistical analysis. Describe at least two factors that influence relationships between two variables and can lead to misinterpretation of data analysis.

C. Explain when it is appropriate to use averages when computing correlations. Explain what statisticians should be aware of when doing this.

Click here to see answer by solver91311(5072) About Me 

Question 115914: Someone please explain/show/ help me with this.....it is homework due tonight and I am LOST.....
The annual incomes of the five presidents of TMV Industries are: 125,000.,128,000.,122,000.,133,000.,140,000., consider this population.
a) What is the range?
b) What is the arithmetic income?
c) What is the population variance? The standard deviation?
d) The annual incomes of the officers of another firm similiar to TMV Ind. were also studied.The mean was 129,000., and the standard deviation 8,612. Compare the means and dispersions in the two firms.

Click here to see answer by tutor_paul(424) About Me 

Question 118579This question is from textbook McDougal Littel Algebra 2
: Find the number of possible 5-card hands that contain the card specified from a standard deck of 52 cards. get 5 face cardsThis question is from textbook McDougal Littel Algebra 2

Click here to see answer by checkley71(8405) About Me 
Question 118579This question is from textbook McDougal Littel Algebra 2
: Find the number of possible 5-card hands that contain the card specified from a standard deck of 52 cards. get 5 face cardsThis question is from textbook McDougal Littel Algebra 2

Click here to see answer by solver91311(5072) About Me 

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