# 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 626663: A box contains 10 chips. Seven of the chips are perfect, but the remaining three have some imperfection. In a random drawing of 4 chips with replacement, what is the probability that none of the chips are perfect? In a random drawing of 4 chips without replacement, what is the probability that none of the chips are perfect? Click here to see answer by ewatrrr(10682)

 Question 626672: A box contains 10 chips. Seven of the chips are perfect, but the remaining three have some imperfection. In a random drawing of 4 chips without replacement, what is the probability that all the chips are perfect? In a random drawing of 4 chips with replacement, what is the probability that none of the chips are perfect? In a random drawing of 4 chips without replacement, what is the probability that none of the chips are perfect? Click here to see answer by ewatrrr(10682)

 Question 626670: Determine the probability of winning the florida lottery. Assume there are 5 numbers each of which can have a value from 1 to 53. No repeats are allowed Click here to see answer by fcabanski(889)

 Question 626676: If a gambler rolls two dice and gets a sum of 10, he wins \$10, and if he gets a sum of three, he wins \$20. The cost to play the game is \$5. What is the expected value of this game? Click here to see answer by stanbon(57967)

 Question 626694: I could use some help getting my thoughts and formulas together. Could you help me with this problem please. The diameters of apples in a certain orchard are normally distributed with a mean of 4.45 inches and a standard deviation of 0.42 inches. Show all work. (A) What percentage of the apples in this orchard is larger than 4.38 inches? (B) A random sample of 100 apples is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 4.38 inches? Click here to see answer by stanbon(57967)

 Question 626712: need help solving this story problem. My solution is not matching the problem. Jim and bob are panning for gold in Leadvill, Colorado. The ratio of gold found by Jim to gold found by Bob is 4:7. If they two men together find a total of 55 pieces of gold, find how man pieces of gold each man found. Click here to see answer by Alan3354(31529)

 Question 626948: What is the probability of rolling a 2, 4 or 8 on a single roll of 2 die Click here to see answer by psbhowmick(529)

 Question 626949: 88% Confidence Interval Upper and Lower Limit. Graph Click here to see answer by ewatrrr(10682)

 Question 626952: What is the probability of rolling a 2, 4 or 8 on a single roll of 2 die? What is the probability of not rolling any of the numbers above on a single roll. Hint: ( Use compliment rule). Click here to see answer by psbhowmick(529)
 Question 626952: What is the probability of rolling a 2, 4 or 8 on a single roll of 2 die? What is the probability of not rolling any of the numbers above on a single roll. Hint: ( Use compliment rule). Click here to see answer by ewatrrr(10682)

 Question 626954: a multiple choice test has 25 questions with four responses each. in order to pass you must get at least 15 right. what is the probability of passing if you guess on all 25? Click here to see answer by stanbon(57967)

 Question 626953: What is the probability of picking any ACE, King, Two, Heart or Spade from a deck of 52 cards. Click here to see answer by psbhowmick(529)
 Question 626953: What is the probability of picking any ACE, King, Two, Heart or Spade from a deck of 52 cards. Click here to see answer by stanbon(57967)
 Question 626953: What is the probability of picking any ACE, King, Two, Heart or Spade from a deck of 52 cards. Click here to see answer by Edwin McCravy(8999)

 Question 626972: What is the probability of the first two cards drawn from a deck of cards being ACE, King. Click here to see answer by ewatrrr(10682)

 Question 627092: if 1% of all calculators are defective, find the mean, variance and standard deviation of a lot of 500 calculators. this site NEVER helps me. i found a similar problem already posted but the answer solution makes NO SENSE to me since they do not show or explain any of the steps. i think this site should be taken down unless people give detailed answers because seeing a bunch of fdjsigadfh equations is not helping me at all for statistics... with that said, any help is appreciated. heh Click here to see answer by jim_thompson5910(28715)

 Question 627141: 1) There are 5 radar stations and the probability of a single radar station detecting an enemy plane is 0.65. What is the probability of 3 stations detecting an enemy plane? Round your answer to nearest hundredth. 2) The probability of a radar station detecting an enemy plane is 0.85. If 60 stations are in use, what is the expected number of stations that will detect an enemy plane? What is the standard deviation? Click here to see answer by reviewermath(604)

 Question 627160: The 90% confidence interval for the mean one-way commuting time in New York City is (37.8 minutes, 38.8 minutes). Determine the margin of error. Click here to see answer by reviewermath(604)

 Question 627174: deterine the variance of the following sample: X= 15, 15, 15, 15, 15. Click here to see answer by jim_thompson5910(28715)

 Question 627196: A box contains 5 orange disks, 4 red disks, and 1 blue disk. You are to select two disks at random and without replacement from the box. What is the probability that the first disk you select will be red and the second disk you select will be orange? Click here to see answer by reviewermath(604)
 Question 627196: A box contains 5 orange disks, 4 red disks, and 1 blue disk. You are to select two disks at random and without replacement from the box. What is the probability that the first disk you select will be red and the second disk you select will be orange? Click here to see answer by nerdybill(7008)

 Question 627251: bag contain 3 different colour of balls . 5 red, 6 white, 11 black balls,. -then two balls are drawn what is the probability that both are of different colour Click here to see answer by reviewermath(604)

 Question 627275: Please help with this I am struggling, Research shows the average cell phone will be 26 months before repairs are needed. If the standard deviation for the data is 6 months, what length of time should be set for a warranty such that less than 10% of all phones will need repairs during the warranty period. Thank you Click here to see answer by solver91311(17077)
 Question 627275: Please help with this I am struggling, Research shows the average cell phone will be 26 months before repairs are needed. If the standard deviation for the data is 6 months, what length of time should be set for a warranty such that less than 10% of all phones will need repairs during the warranty period. Thank you Click here to see answer by ewatrrr(10682)

 Question 627278: A recent study in NJ showed that 50% of all patients will return to the same dentist. Suppose nine patients are selected at random, what is the probability that: (a) Exactly five of the patients will return? (b) All nine will return? (c) At least eight will return? (d) At least one will return? (e) How many patients would be expected to return to the same dentist, i.e., what is the mean of the distribution? Click here to see answer by ewatrrr(10682)

 Question 627336: Scores on a math midterm are distributed under a standard normal curve. A randomly selected had a score of 55, which represented a z score of -2.35. If the mean for the exam was 76, determine the standard deviation for the exam. Does one have to use a graphing calculator to solve most of these types of question? Click here to see answer by ewatrrr(10682)

 Question 627506: Please show me specific detailed answers to these question i got wrong on my test. Thankyou. For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. In addition, determine the level of measurement. (a) Number of emails you received today (b) Colors of a pair of new sport shoes (c) Types of programmes in School of Business at college (d) Salaries of the domestic workers in a Asian country Click here to see answer by reviewermath(604)

 Question 627550: Could you please calculate the statistical probability of the 3 oldest members of a group (63,65 and 67 years) being selected from a total of 30 members across an age range 20 to 67 years thank you Neil Bradshaw Click here to see answer by ewatrrr(10682)

 Question 627586: You have two bags of brightly colored gumballs. The first bag contains 8 balls, and the second bag contains 5 balls. How many ways is it possible to draw 2 gumballs at random, 1 from each bag? Click here to see answer by ewatrrr(10682)

 Question 627588: which of the following cannot ba a probability? a)1/2 b)0 c)1 d)-1 Click here to see answer by ewatrrr(10682)

 Question 627606: 1. Randomly pick out 40 mixed-color M&M’s from a small bag of M&M’s. Record the number of each color below. Yellow- 5; Green- 10; Blue - 8; Brown - 4; Orange - 6; Red - 7; 2. Construct two tree diagrams (1 for with replacement and 1 for without replacement) showing the drawing of two M&Ms, one at a time, from the 40 M&Ms above to complete the theoretical probability questions below. With Replacement Without Replacement P(BL1 and BL2): P(BL1 and BR2 or BR1 and BL2): P(BL1 and O2 ): P(O2 |BL1): P(no yellows on either draw): P(doubles): P(no doubles): Note: O2 = orange on second pick; BL1 = blue on first pick; BL2 = blue on second pick; doubles = both picks are the same color. BR1= brown on first pick; BR2 = brown on second pick. 1. Why are the “With Replacement” and “Without Replacement” probabilities different? 2. Explain the differences in what P(BL1 and O2) and P(O2 | BL1) represent. Click here to see answer by ewatrrr(10682)

 Question 627689: How many different 5-letter arrangements are there of the letters in the word digit? If the i were not repeated, I would say 80 but I think it would be less because of the 2 i's. Thank you. Click here to see answer by ewatrrr(10682)

 Question 627693: Each day I randomly pick a number between 1 and 100. You faithfully guess once per day. You don’t win on Monday. What is the probability of winning on Tuesday Click here to see answer by Alan3354(31529)

 Question 627778: There are 2500 students in a school. If I am wearing color A shirt then what is the probability that one of the other 2499 students is wearing the same color shirt. I think the answer should be 1/2499 or maybe 1/7 raised to the power 2499 if we are talking about the seven primary colors. Click here to see answer by richard1234(5390)

 Question 627863: Steven collected data from 20 college students on their emotional responses to classical music. Students listened to two 30-second segments from “The Collection from the Best of Classical Music.” After listening to a segment, the students rated it on a scale from 1 to 10, with 1 indicating that it “made them very sad” to 10 indicating that it “made them very happy.” Steve computes the total scores from each student and created a variable called “hapsad.” Steve then conducts a one-sample t-test on the data, knowing that there is an established mean for the publication of others that have taken this test of 6. The following is the scores: 5.0 5.0 10.0 3.0 13.0 13.0 7.0 5.0 5.0 15.0 14.0 18.0 8.0 12.0 10.0 7.0 3.0 15.0 4.0 3.0 a) Conduct a one-sample t-test. What is the t-test score? What is the mean? Was the test significant? If it was significant at what P-value level was it significant? b) What is your null and alternative hypothesis? Given the results did you reject or fail to reject the null and why? Click here to see answer by ewatrrr(10682)

 Question 627910: I am still stuck with this question so will one of you please help me with it. A fisherman recorded the number of fish he took from each trap. The average number of fish per trap was 230 with a standard deviation of 22. What number of fish per trap would he expect in the interval symmetrical about the mean where 80% of the numbers would be found. Thank you Click here to see answer by ewatrrr(10682)

 Question 627896: A comittee of five persons is to be seleted andomly from a group of five men and 10 women. a) find the probability that the comittee consists of 2 men and 3 women b) find the probability that comittee consisting pf all the womens. Click here to see answer by stanbon(57967)

 Question 627919: In how many 4 digit integers does the digit 5 appear once and only once and as the largest digit? Answers: A. 425 B. 225 C. 400 D. 600 Click here to see answer by ewatrrr(10682)

 Question 627957: Light bulbs from the Bright Eyes Electric Company have a known mean lifetime of 800 hours and a standard deviation of 60 hours. This data is normally distributed. Find the probability that a random sample of 16 bulbs will have a mean lifetime between 790 and 810 hours. Click here to see answer by ewatrrr(10682)

 Question 627966: a survey revealed that 42% of people are entertained by reading.books, 33% are entertained by watching TV, and 25% are entertained by books and TV. What is the probably that a person will be entertained by either books or tv? Click here to see answer by ewatrrr(10682)

 Question 628051: The scores on a certain test are normally distributed with a mean score of 51 and a standard deviation of 2. What is the probability that a sample of 90 students will have a mean score of at least 51.2108 Click here to see answer by stanbon(57967)

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