# 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 419831: Assist me with this difficult homework problem: 1. A survey of 51 pet owners revealed that 24 owned dogs, 28 owned cats, 11 owned turtles, 12 owned both dogs and cats, 7 owned both dogs and turtles, 3 owned both cats and turtles, and 2 owned all three. Find the number of pet owners who owned none of the three lovely animals. The answer is not 26. Click here to see answer by josmiceli(9817)
 Question 419831: Assist me with this difficult homework problem: 1. A survey of 51 pet owners revealed that 24 owned dogs, 28 owned cats, 11 owned turtles, 12 owned both dogs and cats, 7 owned both dogs and turtles, 3 owned both cats and turtles, and 2 owned all three. Find the number of pet owners who owned none of the three lovely animals. The answer is not 26. Click here to see answer by richard1234(5390)
 Question 419831: Assist me with this difficult homework problem: 1. A survey of 51 pet owners revealed that 24 owned dogs, 28 owned cats, 11 owned turtles, 12 owned both dogs and cats, 7 owned both dogs and turtles, 3 owned both cats and turtles, and 2 owned all three. Find the number of pet owners who owned none of the three lovely animals. The answer is not 26. Click here to see answer by ewatrrr(10682)

 Question 419833: If a student thinks of a number form 1 through 50 what is the probability the number will be prime? Click here to see answer by richard1234(5390)

 Question 420022: Imagine you have 8 colored balls in a bag: 2 yellow, 2 red, 2 blue, and 2 green. If you pull out 4 balls, what is the probability that you have pulled out one of each color? Click here to see answer by sudhanshu_kmr(1152)

 Question 420046: if the probability equals .03 that a randomly selected person from the general population has an IQ of 130 or above, what is the probability that two randomly selected people both will have IQs of 130 or above? Click here to see answer by sudhanshu_kmr(1152)

 Question 420048: six senior level english classes were asked to choose one of eight guidance counslers to make a presentation to their class at some point. A What is the probablity that each class chooses a unique counsler? i tried 8c6 over 8c8 Click here to see answer by sudhanshu_kmr(1152)
 Question 420048: six senior level english classes were asked to choose one of eight guidance counslers to make a presentation to their class at some point. A What is the probablity that each class chooses a unique counsler? i tried 8c6 over 8c8 Click here to see answer by stanbon(57966)

 Question 420027: John is in the market for a new car and he’s narrowed his choices down to two: the Toyota Prius and the Hyundai Elantra. The Prius is advertised at \$25,000 and gets 50 miles to the gallon. The Elantra is advertised at \$15,000 and gets 30 miles to the gallon. a) Assume John keeps the car for one year, gas costs a constant \$3.00 a gallon, and that he could sell the Prius for \$20,000 and the Elantra for \$11,000. How many miles must John drive in order to justify purchasing the Prius? b) Suppose you take into account that your bank is currently offering a one-year Certificate of Deposit that pays 5%. Now how many miles must he drive to justify purchasing the Prius? My answer for a) is: (250000-20000) + (n/50)*3 = (15000-11000) + (n/30)*3 --> n=25000 ( assume n is the miles need to drive in order to...) I am not sure the following answer b) if correct b)?? (250000-20000) + (n/50)*3 + 10000*.05 = (15000-11000) + (n/30)*3 Click here to see answer by stanbon(57966)

 Question 420076: You buy 20 computers,3 of them are defective. Three computers are randomly selected and tested what is the probability that all three are defective if the first and second are not replaced after testing? Click here to see answer by robertb(4012)

 Question 420114: I have absolutely no clue how to do this problem and I've tried it a number of ways. In the US the probability of living at least 60 years is 88% and the probability of living at least 80 years is 55.5%. Find the probability of living at least 80 years given that the person is already 60. Click here to see answer by stanbon(57966)

 Question 419959: I have no idea how to enter this into a graphing calculator... A study of motor vehicle rates in the 50 states reveals that traffic death rates (deaths per 100 million motor vehicle miles driven) can be modeled by the normal curve. The data suggest that the distribution has a mean of 5.3 and a standard deviation of 1.3. Sketch the normal curve, showing the mean and standard deviation. Click here to see answer by stanbon(57966)

 Question 419960: You roll a cube which has the numbers 17, 20, 23, 26, 28, and 29 on it. You then spin a spinner which has 6 sections. The letters on the spinner are G, E, F, K, C, and H. What is the probability of picking an E and not a 20? Click here to see answer by stanbon(57966)

 Question 419957: There are 5 brown, 6 red and 4 white marbles in a hat. You pick 4 marbles from the hat. Marbles are not returned after they have been drawn. What is the probability of picking 4 white marbles in a row? Click here to see answer by stanbon(57966)

 Question 420163: If a pyramid is made up of a stack of blocks in which each of the 10 layers in the stack has 10 fewer blocks in it than the layer under it, how many blocks are there in the pyramid if the top layer has 4 blocks? Click here to see answer by robertb(4012)

 Question 420237: In a certain college, 24% of the physics majors belong to an ethnic minority group. If 25 students are selected at random from the physics majors, what is the probability that at least 24 of them belong to an ethnic minority group? Click here to see answer by edjones(7569)

 Question 420166: a bag contains 10 red and 11 green marbles. Two marbles are drawn without replacement. Are the events independent events? Click here to see answer by edjones(7569)

 Question 420292: Katie must take five exams in a math class. If her scores on the first four exams are 68, 66, 82, and 80, then answer the following questions. The maximum score on an exam is 100 points. If it is not possible for Katie to achieve the required score on the exam, type np in the answer blank. What score must Katie get on the fifth exam for her overall mean to be at least 70? What score must Katie get on the fifth exam for her overall mean to be at least 80? What score must Katie get on the fifth exam for her overall mean to be at least 90? Click here to see answer by vleith(2825)

 Question 420349: a certain drawing states that the odds of winning are 13:1400. what would be the odds against winning ? Click here to see answer by stanbon(57966)

 Question 420416: Hi there. I am having a little difficulty figuring out probability. I think I may know the answer, but here is the question: Each individual letter of the word "Tennessee" is placed on a piece of paper and all 9 pieces of paper are placed in a hat. If one letter is selected at random from the hat, determine the probability that: the letter T or N is selected. Would this answer just be as simple as saying 3 out of 9? Thank you so much for your help!!! Click here to see answer by sudhanshu_kmr(1152)

 Question 420429: when rolling a pair of dice, p(sum of 8) > p(sum of 2) true or false and why? Click here to see answer by sudhanshu_kmr(1152)
 Question 420429: when rolling a pair of dice, p(sum of 8) > p(sum of 2) true or false and why? Click here to see answer by stanbon(57966)

 Question 420459: a random sample of 100 babies is obtained and the mean head circumference is found to be 4.06cm.Assuming that the population standard deviation is known to be 1.6cm, use 0.05 significance level to test the claim that the mean head circumference of all two-month old babies is equal to 40.0cm Click here to see answer by stanbon(57966)

 Question 420418: Hello, I have a question that I could use some assistance on. Raffle tickets. 1,000 raffle tickets are sold for \$1.00 each. One prize of \$800.00 is to be awarded. a) Reng Condos purchases one ticket. Determine her expected value. b) Determine the fair price of a ticket. Thank you so much for your help!!! Click here to see answer by stanbon(57966)

 Question 420465: When you roll a number cube, what are the odds that the number on the top face will be less than 5 Click here to see answer by sudhanshu_kmr(1152)

 Question 420472: 30 basketballs (15 Spalding, 10 Wilson, and 5 other brand-name balls) are on a basketball court. Barry Wood closes his eyes and arbitrarily picks up a ball from the court. Determine the probability that the ball selected is a Wilson or a Spalding. Click here to see answer by sudhanshu_kmr(1152)

 Question 420498: The diameters of oranges in a certain orchard are normally distributed with a mean of 5.30 inches and a standard deviation of 0.40 inches. Show all work. (A) What percentage of the oranges in this orchard have diameters less than 4.7 inches? (B) What percentage of the oranges in this orchard are larger than 5.10 inches? Click here to see answer by stanbon(57966)

 Question 420515: Some one please explain!!! Assume that the population of heights of female college students is approximately normally distributed with mean of 68 inches and standard deviation of 2.75 inches. Show all work. (A) Find the proportion of female college students whose height is greater than 69 inches. (B) Find the proportion of female college students whose height is no more than 69 inches. Click here to see answer by stanbon(57966)

 Question 420520: A machine is used to fill plastic soda bottles. The amount of soda dispensed into each bottle varies slightly. Suppose the amount of soda dispensed into the bottle is normally distributed. If at least 99% of the bottle must have between 585 and 595 milliliters of soda, find the greatest standard deviation, to the nearest hundredth, than can be allowed. Click here to see answer by stanbon(57966)

 Question 420541: 1. In a certain large college course, past records show that grades A,B,C,D, and F are equally likely. If 1 student is chosen at random, find the following probabilities: a. P(C) b. P(A or B) c. P(a grade higher than D) d. P(A,B,C,D,or F) e. P(B and D) f. P(E) g. P(not-A) h. P(not-A and not-F) 2. A pharmacist has filled a box with six different kinds of antibiotic capsules. There are a total of 300 capsules, which are distributed as follows: tetracycline(15), penicillin(30), minocycline(45), Bactrim(60), streptomycin(70), and Zithromax(80). She asks her assistant to mix the pills thoroughly and to withdra a single capsule from the box. What is the probability that the capsule selected is: a. either penicillin or streptomycin b. neither Zithromax nor tetracycline c. Bactrim d. not penicillin e. either minocycline, Batrim, or tetracycline? Click here to see answer by stanbon(57966)

 Question 420535: a card is drawn at random from a 52 card deck. tell whether event A and B are inclusive or mutually exclusive. Then find p(A or B). please 1.A; The card is a number less than 5. B; The card is a jack, king or queen. 2.A; the card is black B; the card is a number greater then 4 3.A; The card is red B; The card is the ace of spades. 4.A;The card is a 2 or 3 B;The card is not a heart. 5.A; The card is a diamond B; the card is a spade.??? Click here to see answer by stanbon(57966)

 Question 420668: A survey of 4,581 U.S. households that owned a mobile phone found that 58 percent are satisfied with the coverage of their cellular phone provider. (a) Assuming that this was a random sample, construct a 90 percent confidence interval for the true proportion of satisfied U.S. mobile phone owners. (b) Why is the confidence interval so narrow? Click here to see answer by stanbon(57966)

 Question 420673: What is the probability of tossing a number less than 5 with a cube that has the number 1 through 6? Click here to see answer by sudhanshu_kmr(1152)

 Question 420712: An unprepared student randomly circles answers in a multiple choice test having 25 questions each with 5 possible answers. How many answers should he expect to get right? Click here to see answer by stanbon(57966)

 Question 420721: A bag contains 8 purple marbles and 12 yellow marbles. Once a marble is drawn from the bag, it is not replaced. What is the probability of drawing a purple marble and then a blue marble? Click here to see answer by stanbon(57966)

 Question 420718: On a fair number cube, what is the probability of rolling a number greater than 3? Click here to see answer by stanbon(57966)
 Question 420718: On a fair number cube, what is the probability of rolling a number greater than 3? Click here to see answer by sudhanshu_kmr(1152)

 Question 420709: Five identical and unbiased coins are shaken. What is the probability of obtaining 3 heads? Click here to see answer by sudhanshu_kmr(1152)
 Question 420709: Five identical and unbiased coins are shaken. What is the probability of obtaining 3 heads? Click here to see answer by stanbon(57966)

 Question 420674: If two dice are rolled 360 times, approximately how many times should you expect a sum of seven? Click here to see answer by stanbon(57966)

 Question 420723: Susan has allergic reactions when she eats blueberries or cranberries. In a box of 30 assorted bagels, 8 contain cranberries, 4 have both, and 10 have neither. What is the probability that a bagel chosen at random would not contain blueberries or cranberries and be safe for Susan to eat? Click here to see answer by stanbon(57966)

 Question 420725: Telulah has a spinner divided into four equal sections labeled A, B, C, and D. What is the theoretical probability of landing in section A? Section B? Section C? Section D? Click here to see answer by richard1234(5390)

 Question 420775: Drawing: Arrows hitting a target. Target has two possible scores: 5 and 10. Problem: "If three arrows are shot, and all the arrows hit the target, how many different total scores are possible?" I'm trying to help my kid here. We can come up with 4 possible scores. 5-5-5, 5-5-10, 5-10-10, 10-10-10, 10-10-5, 10-5-5, 5-5-5, so you have four possible scores: 15, 20, 25 and 30. 4 answers are provided for multiple choice: 6, 9, 10 and 12. He was told by his teacher that the correct answer is 10. 10 possible different total scores. HELP!!!! Thank you! Click here to see answer by stanbon(57966)

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