# 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 313052: An airline estimates that 89% of people booked on their flights actually show up. a) If the airline books 47 people on a flight for which maximum number is 45, what is the probability that the number of people who show up will exceed the capacity of the plane? b) Is this probability low enough so that overbooking is not a real concern for passengers? Click here to see answer by stanbon(57214)

 Question 313082: A jar holds 1 red, 1 green, 1 blue, and 1 yellow gumball.The gumballs are selected from the jar in random order. If the first gumball is red, what is the probability that the yellow gumball is selected before the blue gumball? Click here to see answer by Edwin McCravy(8879)

 Question 313104: How many different ways are there for an admissions officer to select a group of 6 college candidates from a group of 14 applicants for an interview? 14C6=14!/(6!*8!)=3003 Is this the correct formula? Click here to see answer by stanbon(57214)

 Question 313176: how many different arrangements of three folders can be made if you have one green, one red, one blue, and one black folder? Click here to see answer by josmiceli(9647)

 Question 313081: using the age data only, conduct a 95% confidence interval of the mean of employees at Cumba, Inc. Click here to see answer by Fombitz(13828)

 Question 313187: Five lotto numbers are to be picked at random from a collection of 100 numbers. Order does not matter. How many combinations of lotto numbers are there? Click here to see answer by solver91311(16868)

 Question 313203: Assume that one numver from 1 to 7 is equally likely to be selected at random. Each number corresponds to one of the 7 figures shown 1-circle 2-triangle 3-square 4-square 5-circle 6-triangle 7-circle determine the probability of selecting a circle, given a number greater than or equal to 5 is selected Click here to see answer by stanbon(57214)

 Question 313253: U.S. dime is supposed to weigh 2.268 grams. A random sample of 15 circulated dimes showed mean weight of 2.256 grams with a standard deviation of .026 gram. Click here to see answer by stanbon(57214)

 Question 313184: A casino card game takes \$10 bets. Players have a 33% chance of winning \$20, and they have a 67% chance of losing their bets. What is the house edge? Click here to see answer by stanbon(57214)

 Question 313293: I was wondering if anyone can tell me if got these right: Suppose that a student needs to buy 6 books for her history course. The number of books that she will be able to find used is a binomial random variable X with n = 6 and p = 0.30. In other words, the probability that she will find any given book used is 0.30, and is independent from one book to the next. What is the expected number of used books she will find, E(X)= 1.8 Using Standard Normal Table, what is the probability that Z is less than or equal to 2, P(Z ≤ 2)=0.9772 and finally, Using Standard Normal Table, find P(-0.1 < Z < 0.5)=.6687 Thanks for all your help, Donnie Click here to see answer by stanbon(57214)

 Question 313213: Given 4 red balls, 3 yellow, and 5 blue, select two balls. What is the probability that you select one red ball and one yellow ball, without replacement? 4/12 * 2/11= 2/33 Click here to see answer by Fombitz(13828)

 Question 313392: The odds against Trotting Timmy winning the horse race are 17:6. Determine the probability that Trotting Timmy wins the horse race. Click here to see answer by Fombitz(13828)
 Question 313392: The odds against Trotting Timmy winning the horse race are 17:6. Determine the probability that Trotting Timmy wins the horse race. Click here to see answer by stanbon(57214)

 Question 313457: Elizabeth has 12 female friends and 10 male friends. If she is having an eight-person party, what is the probability that there will be 5 girls and 3 boys, if she chooses people at random? Click here to see answer by stanbon(57214)

 Question 313434: A manufacturer's automobile serial number consists of 2 letters of the alphabet, followed by 6 nuerical digits. How many different serial numbers are possible? Click here to see answer by Fombitz(13828)

 Question 313596: find the probability of randomly selecting a King or a red card from a standard deck of cards Click here to see answer by Fombitz(13828)

 Question 313620: A bag contains 5 lemon gumdrops and 7 cherry gumdrops. Four gumdrops are selected at random.What is the probability that two of each flavor will be selected? Round your answer to the nearest thousandth. Click here to see answer by stanbon(57214)

 Question 313647: Polychlorinated biphenyl (PCB) is among a group of organic pollutants found in a variety of products, such as coolants, insulating materials, and lubricants in electrical equipment. Disposal of items containing less than 50 parts per million (ppm) PCB is generally not regulated. A certain kind of small capacitor contains PCB with a mean of 48.3 ppm and a standard deviation of 5 ppm. The Environmental Protection Agency takes a random sample of 39 of these small capacitors, planning to regulate the disposal of such capacitors if the sample mean amount of PCB is 49.5 ppm or more. Find the probability that the disposal of such capacitors will be regulated. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. Click here to see answer by stanbon(57214)

 Question 313570: How many different 8 character passwords can be formed from the numerals 0-9 and the lowercase letters of the alphabet? When repetition is allowed? And when it's not? Click here to see answer by stanbon(57214)

 Question 313519: A well-balanced coin is flipped 10,000 times, what is the probability of getting more than 5100 heads? Click here to see answer by stanbon(57214)

 Question 313682: A spinner is divided evenly into eight parts that are numbered 1 to 8. A four-sided die is numbered from 1 to 4. What is the probability of rolling the die and spinning the spinner to get a sum of nine? Click here to see answer by stanbon(57214)

 Question 313529: The average age of statistics students nationwide is 22. The standard deviation is 2.5 years. Assume the age is a normally distributed variable. Find the probability that one student selected at random is older than 23. Find the probability that the mean age of a group of 16 students selected at random is bigger than 23 can anyone please explain how to do this please Click here to see answer by stanbon(57214)

 Question 313509: The probability that brand A coffeemaker will brew bitter coffee is 0.3 and the probability that brand B coffeemaker will brew bitter coffee is 0.2. Two cups of coffee are produced; one by coffeemaker A and the other by coffeemaker B. Find the probability that: (a) Both cups of coffee are bitter. (b) Only the cup from brand A is bitter. (c) Exactly one cup is bitter. (d) Neither cups of coffee is bitter. Please help. My brain is dead and this is my last question on the homework. Here's what I got, but I don't think it's correct: (a) .2 x .3 = .06 or 6% (b) .3 or 30% (c) ? (d) .7 x .8 = .56 or 56% Click here to see answer by stanbon(57214)

 Question 313710: Among th 10 students of a class, three of them have blue eyes. If we pick randomly two students, what is the probability that A) both students will have blue eyes B) none of them will have blue eyes C) At least one of them will have blue eyes Click here to see answer by stanbon(57214)

 Question 313439: I was owndering if I got these two questions right for my worksheet? Correctly identify whether the following situations satisfy the conditions required to conduct a Binomial experiment. Five percent of all VCRs manufactured by a large electronics company are defective. Three VCRs are randomly selected from the production line of this company. The selected VCRs are inspected to determine whether each of them is defective or good. Choices are binomial and not binomial...I think it is binomial... Which one of these variables is a continuous random variable? 1. The number of women taller than 68 inches in a random sample of 5 women. 2. The number of tattoos a randomly selected person has. 3. The time it takes a randomly selected student to complete an exam. 4. The number of correct guesses on a multiple choice test. I chose number three. TY, Jean Click here to see answer by stanbon(57214)

 Question 313739: Find the equation of the regression of the line for the given data. Then construct a scatter plot of the data and draw the regression line.(the pair of variables have a signifcant correlation.) Then use the regression equation to predict the value of y for each of the given x values, if meaningful. The number of hours 6 students spent studying for the test and their scores are shown below. Hours spent studying x: 1, 1, 2, 4, 4, 6. Test score y: 35,36,50,46,62,73 a. x=3 hours b. x=4.5 hours c. x= 12 hours d. x=1.5 hours find the regression equation. ^y =?? round to three decimal places. the symbol before the y actually goes on top of the y. Click here to see answer by stanbon(57214)

 Question 313743: Suppose 39 newly created pairs of jeans are placed in a bin to be checked for quality. Of these, 4 will not be of high enough quality to sell. Suppose that two pairs of jeans are randomly selected, without replacement, from the bin. What is the chance that both pairs of jeans selected will be substandard? Click here to see answer by stanbon(57214)

 Question 313737: A company owns 400 laptops. Each laptop has an 8% probability of not working. You randomly select 20 laptops for your salespeople. A) What is the likelihood that 5 will be broken? B) What is the likelihood that they will all work? C) what is the likelihood that they will all be broken? Thank you,Jen Click here to see answer by stanbon(57214)

 Question 313748: The theoretical probability of undesirable side effects resulting from taking Pretone is 1 in 25. If 225 people take Pretone to relieve headaches, theoretically how many will encounter undesirable side effects? Click here to see answer by rapaljer(4667)

 Question 313768: based on the information below decide whether to reject the null hypothesis. For each give the z-score cutoff on the comparison distribution at which the null hypothesis should be rejected and give the Z-score on the comparison distribution for the sample score and the conclusion: There are four studies A-D each have a mean of 5 and an SD of 1, all have a sample score of 7. A & B have a p=.05 using a 1tailed test(high predicted) and 2 tailed test. C & D have a p=.01 using a 1tailed test(high predicted) and 2 tailed test. If my math is right the cut off score is -2 ?? Click here to see answer by stanbon(57214)

 Question 313733: I was hoping I could get verification that I figured this problem out right for my homework if anybody can help I would appreciate it. Pulse rates of adult men are approximately normal with a mean of 70 and a standard deviation of 8. Using Standard Normal Table, which choice correctly describes how to find the proportion of men that have a pulse rate greater than 78? 1.Find the area to the right of z =1 under a standard normal curve. 2.Find the area between z = -1 and z = 1 under a standard normal curve. 3.Find the area to the right of z = -1 under a standard normal curve. 4.Find the area to the left of z = 1 under a standard normal curve. I did this: 78-70/8=1 so I think number 1 is the appropriate answer. Fingers crossed, I hope I am right. If I am not can you please take the time to explain it to me. I would greatly appreciate it. TY, Kristal Click here to see answer by stanbon(57214)

 Question 313857: As a birthday gift, you are mailing a new personal digital assistant to your cousin in Toledo. The PDA cost \$250. There is a 2 percent chance it will be lost or damaged in the mail. Is it worth \$4 to insure the mailing. Explain, using the concept of expected value. Click here to see answer by stanbon(57214)

 Question 313847: Fifty-six percent of American adults eat at a table-service restautant at least once a week. Suppose that four American adults are askedif they ate at table-service restaurants last week. What is the probability that all of them say yes? Click here to see answer by stanbon(57214)

 Question 313892: Express the confidence interval in the form of P ± E. 15) -0.128 < p < 1.212 Click here to see answer by Edwin McCravy(8879)

 Question 313891: Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent Click here to see answer by stanbon(57214)

 Question 313964: An instructor gives his class a set of 14 problems with the information that the next quiz will consist of a random selection of 7 of them. If a student has figured out how to do 11 of the problems, what is the probability the he or she will answer correctly at least 6 problems Click here to see answer by stanbon(57214)

 Question 314020: What is the probability of picking a red card from a deck of 52 cards? Click here to see answer by rfer(12644)
 Question 314020: What is the probability of picking a red card from a deck of 52 cards? Click here to see answer by stanbon(57214)

 Question 314017: What is the probability of picking a 7 out of a deck of cards? Click here to see answer by rfer(12644)
 Question 314017: What is the probability of picking a 7 out of a deck of cards? Click here to see answer by stanbon(57214)

 Question 314026: I am working my statistics class, and am having issues finding the correct formula for finding the mean of a normal random variable X given the standard deviation and the probability that X is more than a number equal to a number. The part that is confusing me is "more than a number equal to a number" I did not want you to work the problem for me, I just need assistance without getting the answer. Thank You in advance...Rosanna Click here to see answer by stanbon(57214)

 Question 313947: Quick question: When finding the probability of an "at most 2" value with values in the 0-1-2-3 columns; do you include the value in the 0 (zero) column to the 1 and 2 value? Thanks, Kim Click here to see answer by stanbon(57214)

 Question 314033: I am working my statistics class, and am having issues finding the correct formula for finding the following: The average diameter of certain Euro coins is a number in millimeters with a standard deviation of a number in millimeters. If 9 coins are chosen at random, find the probability that the average diameter of those coins is more than a number in millimeters. Assume that the variable is normally distributed. I have been using the following formula, but it is not working right, because I'm not sure what to do with the 9 coins: z = Value - mean / standard deviation I did not want you to work the problem for me, I just need assistance without getting the answer. Thank You in advance...Rosanna Click here to see answer by stanbon(57214)

 Question 314031: I am working my statistics class, and am having issues finding the correct formula for finding the value x such that P(X > x) is equal to a number, given that, X is a normal random variable with the mean equaling to a number and standard deviation equaling to a number. I have been using the following formula, but it is not working right: z = X - mean / standard deviation I did not want you to work the problem for me, I just need assistance without getting the answer. Thank You in advance...Rosanna Click here to see answer by stanbon(57214)

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