# 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 541942: Four letters make up the call letters of a radio station. The first letter must be a W or a K. Find the number of possible call letters starting with W or K and the other three letters may be any letters in alphabet. Letters may be repeated. Click here to see answer by Alan3354(30993)

 Question 541945: Five college engineering students are choosing specialized fields of engineering to study. Each student is allowed to select one field. The available fields are Electrical Engineering (EE), Mechanical Engineering (ME), and Computer Engineering (CE). If the second student does not meet the requirements for ME and the third student does not meet the requirment for CE, then how many ways are there for the students to choose an engineering field? Assume that there are 10 slots available for each of the three fields, and different students are allowed to choose the same field. When I calculated it I got 3 X 2 X 2 X 3 X 3 = 108 but I feel like I am missing something i am not sure if it is correct need help please Click here to see answer by neatmath(300)

 Question 541984: Amy is trying to determine how many different outfits she can make. She has 4 bottoms, 7 tops, 2 belts, and 5 pairs of shoes. Assuming she wears one of each item, how many different outfits can she make? Click here to see answer by rfer(12654)

 Question 542099: The mean is 112 oz, and the standard deviation is 40 oz. Compute the probability that the mean from a sample of 49 will fall between 103 and 121 oz Click here to see answer by stanbon(57282)

 Question 542102: How many ways can the letters K, Z, D, and J be ordered without repeats. Click here to see answer by stanbon(57282)

 Question 542061: a jar contains 3 white and 2 black marbles. two marbles are drawn with replacement. how many ways can this be solved? Click here to see answer by stanbon(57282)

 Question 541996: The mean birth-weight for ALL the children born at a certain hospital is 112 oz, and the standard deviation is 40 oz. Compute the probability that the mean birth-weight from a sample of 49 infants from the hospital will fall between 103 and 121 oz Click here to see answer by stanbon(57282)

 Question 542005: for experiment, let x be random variable. Probability distribution. 3 cards are drawn from deck and number of aces is recorded Click here to see answer by stanbon(57282)

 Question 542161: a batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made. Click here to see answer by stanbon(57282)

 Question 542290: how many different choices are there, if 38 individuals need to pick 1 item of three? Click here to see answer by stanbon(57282)

 Question 542351: Three times some number, plus 3, divided by 2 is equal to 18. Find the number. Click here to see answer by redjenna333(3)
 Question 542351: Three times some number, plus 3, divided by 2 is equal to 18. Find the number. Click here to see answer by jpg7n16(66)

 Question 542356: in how many ways can you answer the questions on an exam that consist of 10 multiple choice, each with 4 answer choices, followed by 8 true/false questions? Click here to see answer by neatmath(300)

 Question 542408: In a standard deck of 52 cards, what is the smallest number of cards you must draw to guarantee that you will have at least one red and one black? Click here to see answer by josmiceli(9664)

 Question 542423: Selecting a Card A person selects a card from an ordinary deck of cards. If it is a black card, she wins \$2. If it is a red card between or including 3 and 7, she wins \$10. If it is a red face card, she wins \$25; and if it is a black jack, she wins an extra \$100. Find the expectation of the game. Click here to see answer by jpg7n16(66)

 Question 542392: Ana Colon asks her broker to divide her 401k investment of \$2000 among the International Fund, Fixed Assets Fund, and Company Stock. She decides her investment in the International Fund should be twice her investment in company stock. During the first quarter, the International Fund earns 4.5%, the Fixed Assets fund earns 2.6%, and the company stock drops .2%. At the end of the first quarter, Ms. Colon receives a statement indicating a return of \$58 on her investment. How did the broker divide Ms. Colon's initial investment the key international is \$1200 Fixed fund is \$ 200 company is \$ 600 Click here to see answer by Theo(3458)

 Question 542611: can you show step by step how to do this problem -13a+6-4c-11+5a-2c Click here to see answer by Edwin McCravy(8893)

 Question 542635: what is the probability of a five letter word that the first letter has to be a vowel. THE WORD ALONE Click here to see answer by stanbon(57282)

 Question 542634: Carl decides to answer the following questions about the population of vegetables from these sample statistics: Carl calculates the z-score corresponding to the weight 196 oz. Using the table (column .00), Carl sees the area associated with this z-score is 0. Carl rounds this value to the nearest thousandth or 0. Now, Carl subtracts 0.50 - 0. = %. Click here to see answer by stanbon(57282)

 Question 542613: The times for completing one circuit of a bicycle course are normally distributed with a mean of 80.3 minutes and a standard deviation of 7.8 minutes. An association wants to sponsor a race and provide prizes for the top 15% of riders. Where should they expect to set the cutoff time to earn a prize? Click here to see answer by stanbon(57282)

 Question 542585: what are the odds against drawing a spade greater than 3 and less than 9 Click here to see answer by stanbon(57282)

 Question 542551: Bottles of a popular cola are supposed to contain 300ml of cola. There is some variation from to bottle to bottle because the filling machinery is not perfectly precise. The distribution of the contents is normal with standard deviation of Q=3 ml. An inspector who suspects that the bottler is underfilling measures the contents of six bottles. The results are 299.4 297.7 301.0 298.9 300.2 297.0 Is this convincing evidence that the mean contents of cola bottles is less than the advertised 300 ml? perform a significance test at the Q= .05level. Z=(300-299.03)/3/6= .79 Please help Click here to see answer by stanbon(57282)

 Question 542690: A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 15.0 oz and standard deviation 1.0 oz. We will randomly select n bags of cookies and weigh the contents of each bag selected. Which of the following statements is true with respect to the sampling distribution of the sample mean? Click here to see answer by stanbon(57282)

 Question 542621: What is the probability on five letters that spell the word ALONE if, the first letter has to be a vowel Click here to see answer by Edwin McCravy(8893)

 Question 542853: A new headache remedy has been found to begin causing relief from headaches with a normal distribution with a mean of 25 minutes and standard deviation of 8 minutes. If a headache sufferer takes this medication, what is the probability that she will feel relief in 30 minutes or less? Click here to see answer by stanbon(57282)

 Question 542850: Find the mean and standard deviation for 20 trials for a binomial probability distribution with a 40% chance of success on each trial? Click here to see answer by stanbon(57282)

 Question 542760: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Perform an ANOVA at α = 0.1. Goliath Varmint Weasel \$1,600 \$1,290 \$1,090 \$760 \$1,400 \$2,100 \$880 \$1,390 \$1,830 \$1,950 \$1,850 \$1,250 \$1,220 \$950 \$1,920 Step 1: State the null and alternate hypotheses Ho: u1 = u2 = u3 H1: At least one of the means id fifferent Step 2: Select a level of significance α = 0.1 The level of significance is 10%. Step 3: Identify the test statistic Step 4: Formulate a decision rule Step 5: Make a decision Click here to see answer by stanbon(57282)

 Question 542738: •What is the probability that you and a friend both solve the same five problems? The test has 6 questions, you are required to answer 3 given questions but can pick the other two questions from a pool of 3 questions. Click here to see answer by stanbon(57282)

 Question 542709: In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles? Perform an ANOVA at α = 0.1. Goliath Varmint Weasel \$1,600 \$1,290 \$1,090 \$760 \$1,400 \$2,100 \$880 \$1,390 \$1,830 \$1,950 \$1,850 \$1,250 \$1,220 \$950 \$1,920 Click here to see answer by stanbon(57282)

 Question 542892: 22 out of 58 channels had commercials on Find the probability of getting a value of the statistic that is smaller than or equal to 22. (pˆ Click here to see answer by stanbon(57282)

 Question 542707: A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of \$5.29 with a standard deviation of \$3.02. For the October 26 evening showing of the same movie, for a sample of 25 purchases the mean was \$5.12 with a standard deviation of \$1.98. The means appear to be very close, but not the variances. At α = .03, is there a difference in variances? Click here to see answer by stanbon(57282)

 Question 542974: A new automobile comes with the choices of 5 colors & 3 different engine types. Then there is a list of 12 possible options to include in your new car. you can choose any number of these options, from none to all 12. How many different possible automobiles must the factory be prepared to build. I tried doing 5*3*12 but i wasnt sure if that was the correct way to solve the problem.. & then i attempted to use what is called nPr where i did 12! divided by 5!*3! but once again i wasnt quite sure if that was correct.. Help please? Click here to see answer by stanbon(57282)
 Question 542974: A new automobile comes with the choices of 5 colors & 3 different engine types. Then there is a list of 12 possible options to include in your new car. you can choose any number of these options, from none to all 12. How many different possible automobiles must the factory be prepared to build. I tried doing 5*3*12 but i wasnt sure if that was the correct way to solve the problem.. & then i attempted to use what is called nPr where i did 12! divided by 5!*3! but once again i wasnt quite sure if that was correct.. Help please? Click here to see answer by josmiceli(9664)

 Question 543059: A box contains 5 blue marbles, 3 red marbles, and 6 white marbles. If four marbles are drawn, without replacement, what is the probability that all four are red? Click here to see answer by ptutor(2)

 Question 543041: Your account with a 3.1% interest rate compounded 18 times a year has what effective interest rate? Please explain each step because I have more to work like this. Click here to see answer by KMST(1868)

 Question 543085: In some dice games, rolling two dice and getting two 6’s is called getting “boxcars.” What is the probability of rolling “boxcars” twice in a row? Click here to see answer by stanbon(57282)

 Question 543415: On a standardized test of mathematical ability, Kim scored a 40, and John scored a 20.60. The distribution of test scores for the population is normal, with a mean of 33 and a standard deviation of 6.3 The percentatge of the population which scored below John is z= x- x bar/standard deviation. The percentage of the population which scored above Kim is ? The percentage of t he population between joh and kim is ? Click here to see answer by stanbon(57282)

 Question 543692: Can someone explain each step involved in figuring compound interest quarterly? I understand what each letter stands for and can plug the numbers into the formula. My problem comes when you get to the nt exponent. I do not understand that part of the problem. For example: If you have \$1500 earning 4.3% interest compounded quarterly, how much money will be there in 7 years? Click here to see answer by Alan3354(30993)

 Question 543743: In a race with 10 horses, how many different ways can the horses finish ? Click here to see answer by richard1234(5390)

 Question 543420: what is the probability of getting 8 questions right on a 10 question multiple choice test where the choices are (a,b,c,d)? FORMULA Click here to see answer by richard1234(5390)

 Question 543901: the town that conducted the survey has a population of 35,000. Determine the 90% confidence interval for the shoppers that made at least one discount store purchase last month. Click here to see answer by stanbon(57282)

 Question 543895: 5. A component of a precision instrument is subject to random failure. The time to failure of the component, or its productive life, is normally distributed with a mean of 440 hours and a standard deviation of 25 hours. The production engineer would like to replace the component prior to failure after a certain number of productive hours. He is willing to take a 1% chance that the component fails prior to this scheduled replacement time. (a) Should the replacement time be less than or greater than the mean time to failure? (b) What replacement time should he select in this case? Click here to see answer by stanbon(57282)

 Question 543859: Suppose that the mean score of a class of 31 students was 80. The 15 male students in the class had a mean score of 70. What was the mean score for the 16 female students? Click here to see answer by stanbon(57282)

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