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

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 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(6815)

 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(57984)

 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(57984)

 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(8403)

 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(57984)

 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(57984)

 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(57984)

 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(57984)

 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(6628)

 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(57984)

 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(8999)
 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(13828)

 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(2189)

 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(13828)

 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(57984)

 Question 117135: Calculate the Standard Deviation of the following list of data: 6, 7, 8, 9, 10 Click here to see answer by stanbon(57984)

 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(57984)

 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(57984)

 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(57984)

 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(57984)

 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(57984)

 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(57984)

 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(529)

 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(57984)

 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(57984)

 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(57984)

 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(57984)

 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(57984)

 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(57984)

 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(57984)

 Question 118420: 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! Click here to see answer by stanbon(57984)

 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)

 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(57984)

 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(490)

 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(490)

 Question 118579: Find the number of possible 5-card hands that contain the card specified from a standard deck of 52 cards. get 5 face cards Click here to see answer by checkley71(8403)
 Question 118579: Find the number of possible 5-card hands that contain the card specified from a standard deck of 52 cards. get 5 face cards Click here to see answer by solver91311(17077)

 Question 118601: Find equation of line that passes through (-3,-3) and is parallel to x-2y=-7 Click here to see answer by jim_thompson5910(28717)

 Question 118740: Suppose you have a bag that contains 4 black, 3 green, 1 red, and 2 orange marbles. Find each probability. P(red, then orange when red is not replaced) Thanks this question is hard, by the way P means probability. Click here to see answer by Edwin McCravy(8999)

 Question 118731: You work at a T-shirt printing business. 564 of 4,000 T-shirts are printed improperly. Here is the question: Predict the number of improperly printed T-shirts in a batch of 2,000. Any help would be great!-Jasmine Click here to see answer by checkley71(8403)

 Question 118734: A coin is tossed three times. Use this information to solve these problems. 1.) List the sample space. 2.) Find the probability of tossing heads exactly twice. 3.) Find the probability of tossing tails at least twice. Any help would be great! Thanks Click here to see answer by bucky(2189)

 Question 118733: A restaurant offers the following choices for breakfast: Eggs: scrambled, fried, or poached Meat: bacon, sausage, or ham Toast: wheat, white, rye, or pumpernickel Here is the question:, The Super Breakfast allows you to select two items from the meat list. How many breakfast combinations are possible if you select one each of the eggs and toast choices and two different meat choices? Any help would be awesome because I am stuck! Click here to see answer by checkley71(8403)

 Question 118732: A restaurant offers the following choices for breakfast: Eggs: scrambled, fried, or poached Meat: bacon, sausage, or ham Toast: wheat, white, rye, or pumpernickel Here is the question:, How many different breakfast combinations are possible if one item is selected from each list of eggs, meat, and toast choices? Please help any help would be awesome! Click here to see answer by checkley71(8403)
 Question 118732: A restaurant offers the following choices for breakfast: Eggs: scrambled, fried, or poached Meat: bacon, sausage, or ham Toast: wheat, white, rye, or pumpernickel Here is the question:, How many different breakfast combinations are possible if one item is selected from each list of eggs, meat, and toast choices? Please help any help would be awesome! Click here to see answer by Edwin McCravy(8999)

 Question 118758: I am completely stumped on this one: 3 colleges participated in a track and field competition. Each college sent only 1 representative to each event. Jessica a student at Kennedy college went to the competition to cheer on her boyfriend the long jump champion. After the competition her roommate asked her how their school performed. Jessica told her they won the long jump but Jefferson College won the competition with 22 points. Kennedy and Adams college only got 9 points. Kelly asked what the point system was. Jessica didn't know but said they gave a different number of points for each place and awarded points for 1st, 2nd & 3rd and the point system was the same for each event. Kelly asked how many events there were but Jessica didn't know that either. Kelly's friend Jack asked if there was a javelin throw. Jessica said there was. Jack asked who won but Jessica didn't know. Here is the problem question: Who won the javelin throw? I have to clearly and logically show how I got my answer. No guessing and I have to use math and logic to solve it. Click here to see answer by scott8148(6628)

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