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 450480: A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 Click here to see answer by stanbon(57361)

 Question 450603: The probability of rolling exactly three 4's in 5 rolls of a fair die Click here to see answer by edjones(7569)

 Question 450658: Find the critical t - value that corresponds to 95% confidnence. Assume 16 degrees of freedom. How do I go about solving this question? Click here to see answer by stanbon(57361)

 Question 450625: 25 samples were selected by taking every seventh sample from racks holding 187 samples. The mean was 8.636 with a standard deviation of 3.9265. What is the true mean at 90 percent confidence Click here to see answer by stanbon(57361)

 Question 450664: Let be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places. P(Z>-1.99)= P(Z [LESS THAN OR EQUAL TO]< 0.57)= P(-1.39< Z < 2.04)= Click here to see answer by stanbon(57361)

 Question 450697: Light bulbs are packaged in cartons of three. 10% of the bulbs are found to be faulty. Calculate the probability of finding two faulty bulbs in a single carton. Click here to see answer by stanbon(57361)

 Question 450774: There is one of four different prizes inside of each box of toasty oaties. if you buy three boxes what is the probability of getting the same prize in each box? Click here to see answer by stanbon(57361)

 Question 450783: A spinner that has 3 sections of equal area, numbered from 1 to 3, is spun two times in succession. Which is NOT part of the sample space? * (1, 3) * (3, 3) * (3, 2) * (3, 4) Click here to see answer by stanbon(57361)

 Question 450873: Use the spinner shown at the right. If the spinner is spun 400 times, about how many times will the spinner stop on red or yellow? If there is 2 red 3 yellow and 3 blue. Click here to see answer by jorel1380(2518)

 Question 450883: A fair coin is tossed four times. Find the probability of obtaining A. a head on the first toss and tails on each of the other tosses? B. Exactly one head? Click here to see answer by ilana(307)

 Question 450904: Hi everyone, I'm having problems trying to work out the solutions to these two questions, is there someone out there who can please help me understand it?? Thankyou heaps The probability that a flavoured milk container holds more than 500mL of use is 0.2. If a batch of 10 of these milk containers is tested, what is the probability that: (a) At least half of them will contain more than 500mL? (b) None of them will contain more than 500mL? Amy thinks that all brands of chocolate taste the same. She decides to test four brands by having 20 people test them and state their preference. Her results are shown below. Brand of Chocolate Cadbury - 8 Nestle - 4 Hersheys - 5 Pams - 3 (a) Copy and complete the table to show the expected frequencies in this problem. (b) Perform the x2 test to see whether there appears to be any significant preference for one brand of chocolate over another. Click here to see answer by stanbon(57361)

 Question 450836: One card is selected at random from a deck of cards. Determine the probability that the card is a red diamond. 1/4 1/26 2/13 3/13 1/13 Click here to see answer by stanbon(57361)

 Question 451014: Four coin are tossed. What is the probability that they show 3 heads and 1 tail? Click here to see answer by stanbon(57361)

 Question 451017: What are the odds against each event occurring? c. all from one suit Click here to see answer by stanbon(57361)

 Question 451045: The number of dry cleaning orders picked up at Sunny Fresh Dry Cleaners was sampled over 12 hour periods. Below is the sample: 142 171 125 91 140 125 97 125 162 142 125 117 89 125 140 128 From this data set, compute the sample mean, median, mode and midrange. Compute the 1st quartile and 3rd and interpret their meanings. this is what I have so far and I am stuck 142+171+125+91+140+125+97+125+162+142+125+117+89+125+140+128/16 19361/16 120.6875 91,97,125,125,125,125,125,128,140,140,142,142,162,171,206 middle term/median 128 mode 125 occurs 5 times 97,125,125,125,125,125,128,140,140,142,142,162,171,206 206-91=115 125+125= 250 1st Q 250/3= 83.33 171+206=377 3rd Q 377/2 = Click here to see answer by edjones(7569)

 Question 451067: Having problems understanding Random Variable, Probability Distribution and Expected Value. Please help. Question 1. The annual premium for a \$5000 insurance policy against the theft of a painting is \$150. If the (empirical) probability that the painting will be stolen during the year is.01, what is your expected return from the insurance company if you take out this insurance? Question 2. On three rolls of a single die, you will lose \$10 if a 5 turns up at least once, and you will win \$7 otherwise. What is the expected value of the game? Click here to see answer by stanbon(57361)

 Question 451066: An ordinary fair die is a cube with numbers 1 through 6. The die is rolled twice in succession, and the face value 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 the following events: Event A: The sum is greater than 7. Event B: The sum is divisible by 5 or 6 (or both). (Please write answers as exact fractions.) Thank you! Click here to see answer by stanbon(57361)

 Question 451046: In a city of 180,000 there are 20,000 legal immigrants from Latin America. What is the probability that a random sample of two people from the city will contain two legal immigrants from Latin America? Click here to see answer by stanbon(57361)

 Question 451130: From five girls and seven boys, six are chosen. What is the probability that there is exactly one girl chosen? Click here to see answer by ewatrrr(10682)

 Question 451172: Suppose you are asked to pick 3 numbers from 1 to 20 to win a prize. What is the probability that one of the numbers you will pick is the winning number? Click here to see answer by ewatrrr(10682)

 Question 451195: I have a multiple choice question that asks about the rejection areas. I've been trying to solve since Monday and still do not "get it".. What are the two rejection areas in using a two-tailed test and the 0.01 level of significance? A. Above 1.96 and below –1.96 B. Above 1.65 and below –1.65 C. Above 2.58 and below –2.58 D. Above 1.00 and below –1.00 E. None of the above Click here to see answer by ewatrrr(10682)

 Question 451234: if there were a circle divided into thirds, 1/3 is red the other 2/3 are blue, if you spun a spinner 540 times how many times would you expect it to land on red? Click here to see answer by Alan3354(30993)
 Question 451234: if there were a circle divided into thirds, 1/3 is red the other 2/3 are blue, if you spun a spinner 540 times how many times would you expect it to land on red? Click here to see answer by jorel1380(2518)

 Question 451226: Given U = {22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32}, A = {22, 24, 26, 28, 30}, and B = {23, 24, 25, 28, 29}. Find A′U B′. finding A’, then B’ then find their union. Click here to see answer by jim_thompson5910(28595)

 Question 451231: I have a multiple choice question that I've been working on with Megastat but I don't seem to be using megastat correctly. Suppose a one-tailed t-test is being applied to find out if the population mean is less than \$212. The level of significance selected is 0.01 and 26 accounts are sampled. What is the critical value? A. –2.580 B. –2.485 C. –1.960 D. –2.479 E. None of the above Any help will be greatly appreciated! Click here to see answer by stanbon(57361)
 Question 451231: I have a multiple choice question that I've been working on with Megastat but I don't seem to be using megastat correctly. Suppose a one-tailed t-test is being applied to find out if the population mean is less than \$212. The level of significance selected is 0.01 and 26 accounts are sampled. What is the critical value? A. –2.580 B. –2.485 C. –1.960 D. –2.479 E. None of the above Any help will be greatly appreciated! Click here to see answer by ewatrrr(10682)

 Question 451341: In this carnival game project(that we have to do for math end of the year project), round 1 goes like this. Out of a deck of cards, you pull a card. If that card is a queen of hearts, you automatically win. If that card is a queen, or a heart(but a king of hearts will make you lose), you must go to the next round. Any other card(or a king of hearts), and you lose. I figured the probability of winning, losing, and moving to round two, on this to be 1/52 winning, 37/52 losing, and 14/52 moving to round two. In round two, there are 10 cups(3 blue, 4 red, 3 clear). Players must bounce a ball. If the ball lands in a blue cup, they win. If the ball lands in a red cup, they lose. If the ball lands in a clear cup, they must move to round three. I figured the probability of winning round two to be 3/10, the probability of losing round two to be 4/10, and the probability of moving to round 3 to be 3/10. In round three, players must pick a card from a deck of cards. If that card is a queen of hearts, they win. Any other card, and they lose. The probability of winning round 3 is 1/52, and the probability of losing round 3 is 51/52. My question is this: What is the probability of winning the whole game? Click here to see answer by stanbon(57361)

 Question 451339: 3. (3 points) Using the 5-step hypothesis testing model test to see if average income of a group is greater than 35,000. Assume ratio level data. Use an alpha of 5%. When data is collected the sample mean is 36,500. The population standard deviation is known to be 5,000 (so a z test can be used). Click here to see answer by stanbon(57361)

 Question 451410: Late payment of medical claims can add to the cost of health care. The auditing firm of Dewey, Cheatham, and Howe has discovered that for one insurance company, 85.1% of the claims were paid in full when first submitted based on a sample of 200 claims. Suppose that the insurance company developed a new payment system in an effort to increase this percentage. A sample of 200 claims processed under this new system revealed that 180 of the claims were paid in full when first submitted. At the 5% level of significance, is there evidence that the population proportion of claims paid in full under this new system is higher than the proportion of claims paid in full under the old system? Q-2a: State the null hypothesis Q-2b: State the alternative hypothesis. Q-2c: Perform the hypothesis test and state your conclusions and evidence. Click here to see answer by stanbon(57361)

 Question 451336: 2. (3 points) Set up the null and alternate hypotheses for the situations where the analyst is trying to prove a. The average income of men is greater than that of the average income of women b. The average age of the workforce is greater than 30 years c. A new car model will get greater average gas mileage than the old model Click here to see answer by stanbon(57361)

 Question 451288: I have a multiple choice question that I believe the answer is "E. None of the above" because my answer i keep getting doesn't match. I posted the question and the possible answers that it could be. Any help with this is greatly appreiated.... The net weights of a sample of bottles filled by a machine manufactured by Edne, and the net weights of a sample filled by a similar machine manufactured by Orno, Inc., are (in grams): Edne: 5, 8, 7, 6, 9 and 7 Orno: 8, 10, 7, 11, 9, 12, 14 and 9 Testing the claim at the 0.05 level the mean weight of the bottles filled by the Orno machine is greater than the mean weight of the bottles filled by the Edne machine, what is the critical value? A. –1.96 B. –2.837 C. –6.271 D. +3.674 E. None of the above Click here to see answer by stanbon(57361)

 Question 451492: How many ways can 4 coins be lined up straight on a table? Click here to see answer by edjones(7569)

 Question 451476: You want to estimate the mean repair cost for dishwashers. The estimate must be within \$10 of the population mean. Determine the required sample size to construct 99% confidence interval for the population mean. Assume the population standard deviation is \$22.50. Click here to see answer by stanbon(57361)

 Question 451261: What is the sample size needed to be able to estimate the mean dollars that each card holder will spend each month. It would like to be within plus or minus \$25 of the true mean with a 98% confidence level. It would like to be within plus or minus \$25 of the true mean with a 98% confidence level. The standard deviation is thought to be \$400. How many card holders should be sampled? Click here to see answer by stanbon(57361)

 Question 451651: Calculate the critical values for a two tailed and a one-tailed test. Assume that the data is normally distributed and the sample size is greater than 30. a. Alpha (α) = 0.05 b. Alpha (α)= 0.10 Click here to see answer by stanbon(57361)

 Question 451630: A fair coin is tossed 360 times. Estimate the probability of getting between 188 and 200 heads inclusive. Thank you very much! Click here to see answer by stanbon(57361)

 Question 451536: SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points and are approximately normally distributed. A person who scores 700 on the SAT I has approximately what percentile rank within the population? Can you show me step-by-step how to do this? Thank you Click here to see answer by ewatrrr(10682)

 Question 451636: Two cards are drawn in succession and without replacement from a standard deck of 52 cards. How many sets of two cards are possible? Click here to see answer by ewatrrr(10682)

 Question 451683: A computer manufacturer is about to unveil a new, faster personal computer. The new machine clearly is faster, but initial tests indicate there is more variation in the processing time. The processing time depends on the particular program being run, the amount of input data, and the amount of output. A sample of 16 computer runs, covering a range of production jobs, showed that the standard deviation of the processing time was 22 (hundredths of a second) for the new machine and 12 (hundredths of a second) for the current machine. At the .05 significance level can we conclude that there is more variation in the processing time of the new machine? Click here to see answer by stanbon(57361)

 Question 451621: There are eight runners in the 100-meter dash. In how many ways can the runners finish first, second, and third? Click here to see answer by ewatrrr(10682)

 Question 451646: The movie rating Web site Rotten Tomatoes reported that 92 percent of a sample of 39 movie critics hated the 2005 horror movie The Fog. If you asked all the movie critics in the country what they thought of this movie, what is the best estimate of the percentage that would hate it? Click here to see answer by stanbon(57361)

 Question 451653: Ryan has the numbers 1–30 listed on individual index cards. If Ryan randomly selects 1 card, what is the probability that it will be a multiple of 3 or a multiple of 11? Click here to see answer by ewatrrr(10682)

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