# 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 246311: License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is allowed? 4) _______ A) 1,757,600 B) 11,881,376 C) 100,000 D) 175,760 Click here to see answer by Theo(3472)

 Question 246323: ) A shoe store carries one brand of shoe in 3 styles, 5 sizes, and 4 colors. How many different shoes are available for this one brand? 10) ___C___ A) 45 B) 32 C) 60 D) 12 Click here to see answer by richwmiller(9143)
 Question 246323: ) A shoe store carries one brand of shoe in 3 styles, 5 sizes, and 4 colors. How many different shoes are available for this one brand? 10) ___C___ A) 45 B) 32 C) 60 D) 12 Click here to see answer by College Student(505)

 Question 246305: On a survey of how students spend their time, one question asks, "which of the following best describes your employment status?" the response options provided are 1)not employed, 2) employed part-time 3) employed full-time 4) full-time student, and 5) other. In the example, which of the following characteristics of coding rules did the researcher fail to address adequately? A. appropriate categories B. exhaustive options C. mutual exclusivity D. single dimenstion E. closed-ended Click here to see answer by richwmiller(9143)

 Question 246302: Which of the following hypothsese is a one tailed test? A. Hybrid cars get better gas mileage than traditional cars B. There is a differenece in the gas mileage of cars and trucks C. There is no difference in gas mileage among two door and four door vehicles D. There is a realtionship between the number of miles to one's job and the gas mileage associated with his or her chosen car or are they all one tailed tests? Click here to see answer by stanbon(57415)

 Question 246328: 23) How many ways can 9 cars be parked in a row of 9 parking spaces? 23) __B____ A) 40,320 B) 81 C) 9 D) 362,880 Click here to see answer by College Student(505)

 Question 246325: 28) 32 A restaurant offers salads with 8 different types of dressings and 4 different toppings. How many different types of salads are available? 28) ______ A) 16 types B) 64 types C) 32 types D) 4097 types Click here to see answer by billybobjr012(1)

 Question 246522: Can you please tell me if my answer is right? Thanks so much! There were 7 nominees for president and 4 nominees for vice president. In how many ways can the slate be chosen? Is the answer 28? Thanks... Click here to see answer by checkley77(12569)

 Question 246469: **Please help- I have this problem due in the AM**- I have to find the probability that a weight of a quarter is between 5.60 grams and 5.70 grams- I was given 36 quarters with differents weights in grams, the mean is 5.61806 and the standard deviation is .06576, not sure what other info I need to solve this problem! Click here to see answer by stanbon(57415)

 Question 246505: Arrange 15 different books onto bookshelf with 3 shelves. what is the probability that the top shelf has three books under the condition that exactly one shelf is empty? I'm don't know how to use the condition. Any help? Click here to see answer by stanbon(57415)

 Question 246751: You have a bag of 56 marbles, 24 of which are blue. What is the probability that you will choose a blue marble? Click here to see answer by richwmiller(9143)

 Question 246759: A wheel is marked off into 8 sections numbered 1 to 8. The numbers 1, 4, and 7 are colored red; the numbers 2 and 8 are colored blue; and the numbers 3, 5, and 6 are colored yellow. You spin the wheel TWICE. . . What is the probability of the first outcome being a number BETWEEN 5 and 8 exclusive and the second outcome being blue? a. 4/64 b. 2/8 c. 4/8 d. 4/16 Click here to see answer by Edwin McCravy(8920)

 Question 246807: A developer can buy a piece of property that will produce a profit of \$16,000 with probability .7, or a loss of \$9000 with probability .3. What is the expected profit? Click here to see answer by solver91311(16897)

 Question 246818: what is the proability of obtaining a sample mean greater than 73 for a sample of n=36 scores? Click here to see answer by stanbon(57415)

 Question 246857: A student takes a 20 questions, true/ false exam and guesses on each questions.What will be the probability of passing if the passing grade is 15 correct out of 20. Is this event likely to occur? Click here to see answer by richwmiller(9143)

 Question 246828: A bag contains 5 blue marbles, 6 red marbles, and 9 green marbles. Two marbles are drawn at random, what is the probability of selecting two red marbles? Click here to see answer by stanbon(57415)

 Question 246814: Suppose it is known that the distribution of purchase amounts by customers entering a popular retail store is approximately normal with mean \$25 and standard deviation \$8. a. What is the probability that a randomly selected customer spends less than \$35 at this store? b. What is the probability that a randomly selected customer spends between \$15 and \$35 at this store? c. What is the probability that a randomly selected customer spends more than \$10 at this store? d. Find the dollar amount such that 75% of all customers spend no more than this amount. e. Find the dollar amount such that 80% of all customers spend at least this amount. f. Find two dollars amounts, equidistant from the mean of \$25, such that 90% of all customer purchases are between these values. Click here to see answer by stanbon(57415)

 Question 246894: A fair die is cast, a fair coin is tossed, and a card is drawn from a standard deck of 52 playing cards. Assuming these events are independent, what is the probability that the number falling uppermost on the die is even, the coins shows a tail, and the card is a spade? Click here to see answer by stanbon(57415)

 Question 246742: The average daily maximum temperatures in March are 3°C in Montreal with a standard deviation of 3°C, and an average of2°C in Calgary with a standard deviation of 8°e. 1.During a cold snap Montreal has a high of -4°C and Calgary a high of-lO°e. Assuming the daily maximum temperatures are normally distributed, which city has the 'colder snap'? Explain with words and calculations. 2.What is the probability that Montreal would have a maxi~umtemperature between -2°C and 7°C in March? 3. The maximum temperature in Calgary such that only 5% ofdays have a maximum temperature higher than this is: 4. The two maximum temperatures in March for Montreal that represent the middle 80% oftemperatures are: a) (0.48, 5.52) b) (1.935, 7.935) c) (-8.256, 12.256) d) (-0.846,6.846) Click here to see answer by stanbon(57415)

 Question 246734: Number of students passing Pass-46 Fail-37 Total-83 From the data above, what is the probability of passing? p=? If there are 20 students in the class this term and we assume the same passing rate, formulate a problem that(1) provides the probability that exactly X number of students pass this term, (2) that more than Y number of student pass, and (3) the probabilty that Z number or fewer students will pass this term. The value for X,Y, and Z are what you must decide and then solve your problem. In reviewing the work of your classmates make sure that each of these probalities have been calculated and explained correctly. Click here to see answer by stanbon(57415)

 Question 247011: Medicare spending per patient in different U.S. metropolitan areas may differ. Based on the sample data below, is the average spending in the northern region significantly less than the average spending in the southern region at the 1 percent level? (a) State the hypotheses and decision rule. (b) Find the test statistic assuming unequal variances. (c) State your conclusion. Is this a strong conclusion? (d) Can you suggest reasons why a difference might exist? Medicare Spending per Patient (adjusted for age, sex, and race) Statistic Northern Region Southern Region Sample mean \$3,123 \$8,456 Sample standard deviation \$1,546 \$3,678 Sample size 14 patients 16 patients Click here to see answer by stanbon(57415)

 Question 247087: A box contains 3 red and 5 green marbles. If 3 marbles are drawn without replacement, what is the expected number of red marbles? Click here to see answer by edjones(7569)

 Question 246672: what is the probability of guessing the correct preset three digit number lying between 100 and 999? Click here to see answer by edjones(7569)

 Question 247120: A book shelf containing 20 books of which 12 are on circuit theory and 8 are on Mathematics. If three books are taken out at random, find the probability that all the three are on the same subject. Click here to see answer by Theo(3472)

 Question 247118: A family has six children (no twins). What is the probability that this family has three boys and three girls ? Click here to see answer by Edwin McCravy(8920)

 Question 247196: I need someone to teach me how this question work because I can't understand it. In a single deal of 5 cards from a standard 52-card deck, what is the probability of being dealt 5 clubs? I don't understand it at all. Thank very much. Click here to see answer by Alan3354(30993)
 Question 247196: I need someone to teach me how this question work because I can't understand it. In a single deal of 5 cards from a standard 52-card deck, what is the probability of being dealt 5 clubs? I don't understand it at all. Thank very much. Click here to see answer by edjones(7569)

 Question 247205: A biology gives a surprise quiz consisting of 15 multiple choice questions with 5 answer options. Assume an unprepeared student decides to randomly select answers. What is the chance this student has a. The first 7 answers correct and the last three answers wrong b. Any 7 or more of the questions correct Click here to see answer by edjones(7569)

 Question 247286: A burglar alarm system has six fail-safe components. The probability of each failing in 0.05. Find the following probabilities. a. Exactly three will fail b. Fewer than 2 will fail c. None will fail d. All will fail Click here to see answer by stanbon(57415)

 Question 247345: Holly rolls two fair dice. What is the probability that the sum of the numbers rolled is 6? Click here to see answer by stanbon(57415)

 Question 247393: A 95% confidence interval estimate for a population mean was computed to be (60.0 to 68.6). Determine the mean of the sample, which was used to determine the interval estimate (Please show all work) Thank you. Click here to see answer by stanbon(57415)

 Question 247397: To test the null hypothesis that the average lifetime for a particular brand of bulb is 775 hours versus the alternative that the average lifetime is different from 775 hours, a sample of 120 bulbs is used. If the standard deviation is 65 hours and α is equal to 0.01, what values for will result in rejection of the null hypothesis (Please show all work, thank you.) Click here to see answer by stanbon(57415)

 Question 247403: A department store manager claims that at least 45% of persons who visited this store make a purchase. In a sample of 400 persons who visited the store 150 made a purchase. Test the manager’s claim at the 3% significance level. a.State the null and alternate hypothesis. b. Determine the rejection region for the decision rule. c. which equation listed below would you use? d. Using the statistical calculator or manual calculation what is the observed statistic and what is your decision regarding the null hypothesis. Provide a one sentence answer. Click here to see answer by stanbon(57415)

 Question 247421: find the sample space of the random experiment which consists of tossing a coin infinitely many times.is this sample space is discrete? Click here to see answer by stanbon(57415)

 Question 247550: assume you are playing 5 card draw poker.... what is the probability of getting all 5 cards the same color Click here to see answer by Edwin McCravy(8920)
 Question 247550: assume you are playing 5 card draw poker.... what is the probability of getting all 5 cards the same color Click here to see answer by stanbon(57415)

 Question 247575: Find the probability of rolling 3 successive 2's with 3 rolls of a fair die. Click here to see answer by oberobic(2304)

 Question 247653: I need your help with my homework. A spinning device have 3 numbers, 1, 2, and 3, each as likely to turn up as the other. If the device is spun twice, what is the probability that: a)The same number turns up both times? b)The sum of the numbers turning up to 5? Thank very much. Click here to see answer by oberobic(2304)

 Question 247651: I need your help with my homework. A group of 10 peopleincludes one married couple. If 4 people are sellected ar random, what is the probability that the married couple is selected? Thank very much. Click here to see answer by oberobic(2304)

 Question 247729: A bag contains 3 blue stones, 5 red stones, and 2 white stones. What is the probability of picking a blue stone, keeping it and then picking a white stone? Click here to see answer by stanbon(57415)

 Question 247718: A bag contains 2 green and 3 blue marbles. If Jake chooses one marble from the bag at random, what is the probability that it is blue? Express your answer as a common fraction. Click here to see answer by stanbon(57415)

 Question 247698: Abbie, Ben and Cali will sit in a row in a theater. What is the probability that they will sit in alphabetical order, from left to right? Express your answer as a common fraction. Click here to see answer by stanbon(57415)

 Question 247835: A computer dealer had 20 computers of which 3 are defective. A. If she selects a computer at random what is the probability that it is defective? B. If she selects computers at random, what is the probability that one of them is defective? C. If she selects 3 computers at random what is the probability that all of them are defective? Click here to see answer by stanbon(57415)

 Question 247826: An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events: Event : The sum is greater than 9. Event : The sum is divisible by 4. Click here to see answer by stanbon(57415)

 Question 248029: a menu as three choice for salad, five main dishes, and two desserts. how many different meals are available if you select a salad, a main dish and dessert Click here to see answer by stanbon(57415)

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