# 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 341633: Heartless poker is played with a deck of cards in which all the hearts have been removed. Note that the deck now has 39 cards. Find the probability of getting a flush (five cards of the same suit) when drawing a five-card hand. Click here to see answer by stanbon(57282)

 Question 341788: if manufacture of 5 cm screws , the screw is rejected if the diameter of the screw is outside 0.05% of the designed value .in long run, 1 in every 100 screw is found to be defective . if a test sample of 10 screws is taken , find the probabilities of ; a- no defective b- not more than one defective c- at least one difective Click here to see answer by edjones(7569)

 Question 341672: In a set of eleven different numbers, which of the following CANNOT affect the value of the median? A. Doubling each number B. Increasing each number by 10 C. Increasing the smallest number only D. Decreasing the largest number only E. Increasing the largest number only Click here to see answer by MathTherapy(1422)

 Question 341892: In a sample study of saws, it was found the 7% were defective. Out of a sample size of 25 saws, what is the probability that more than 5 saws will be defective? Click here to see answer by edjones(7569)

 Question 342137: In how many ways can a 10-question multple choice test be answered? Assume that there are 4 choices for each question, each question is answered, and the same choice is never made on anytwo concecutive questions (if (b) is chosen for question 1, then it will not be chosen for question 2). Click here to see answer by stanbon(57282)

 Question 342025: Consider the three investment plans below. Which one of the investment plans produces the worst yield? Which one produces the best yield? Plan A) \$10,000 invested for 5 years at 5%, compounded continuously. Plan B) \$9,000 invested for 5 years at 5.25%, compounded daily. Plan C) \$11,000 invested for 5 years at 4.5%, compounded monthly. Carefully explain your solutions to each of the questions above. Click here to see answer by stanbon(57282)

 Question 342008: if your free-throw percentage from the foul line is 60%, what is the probability of you missing 2 out of your next 3 free throws? Click here to see answer by stanbon(57282)

 Question 342006: If your free-throw from the foul line is 60% what is the probability of you missing 2 out of your next 3 free throws? Thanks for your help Click here to see answer by stanbon(57282)

 Question 341986: Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 10% of all visitors to the website are looking for other websites. Assuming that this estimate is correct, find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website. Click here to see answer by stanbon(57282)

 Question 341976: In the United States, approximately 10% of the population is left-handed. If 14 people are selected at random, find the probability that none of them are left-handed. Write your answer in decimal form rounded to three decimal places. Click here to see answer by stanbon(57282)

 Question 342227: If newborn baby averge length is 20 inches and the standard deviation is 1inch what is`probabilty new born over 22inches long what is probability between 18 and 22 inchs long Click here to see answer by stanbon(57282)

 Question 342306: dear tutor, please help me with this question: there are 14 radar dishes, 8 work fine and 6 are defective. The system works as long as two defectives are not next to each other. What is the probability that it will work? Please show your work. Click here to see answer by stanbon(57282)

 Question 342300: While I can get the answer in a long handed table I am sure that a formula exists for this: From a group of six people, two individuals are to be selected at random. How many possible selections are there? Click here to see answer by Theo(3458)

 Question 342367: A box contains two red chips and three white chips. Let X denote the number of draws until a red chip is selected. (1) Find the discrete pdf for X if the chips are drawn at random, with replacement. Click here to see answer by jrfrunner(365)

 Question 342389: find each percent change to the nearest percent. state if it is an increase or decrease. QUESTION 1: 1] From 45ft to 92ft. QUESTION 2: 2] from 74 hours to 85 hours. Click here to see answer by edjones(7569)

 Question 342373: A mathematics class is composed of 35 men and 45 women. There are 20 business majors, 30 biology majors, 10 computer science majors and 20 mathematics majors. No person has a double major. If a single student is chosen from the class, what is the probability that the student is a computer science or mathematics major? Click here to see answer by edjones(7569)

 Question 342438: Evaluate the expression for the value of the variable(s) -2x^3-x^2+5x+2; x=-3 Here is what I have gotten so far. -2(-3)^3-(-3)^2+5(-3)+2 I got stuck after this.. I don't know what to do next.... Please Help. Click here to see answer by jim_thompson5910(28536)

 Question 342461: If there are 20 employees in office, what is probability that two or more will have the same last 5 digits in their social security numbers(in same order) ? Assume that all digits 0 to 9 are equally likely. Click here to see answer by stanbon(57282)
 Question 342461: If there are 20 employees in office, what is probability that two or more will have the same last 5 digits in their social security numbers(in same order) ? Assume that all digits 0 to 9 are equally likely. Click here to see answer by vron247(1)

 Question 342456: Hi I need this one asap if possible! Thanks so much!!! A mathematics class is composed of 35 men and 45 women. There are 20 business majors, 30 biology majors, 10 computer science majors and 20 mathematics majors. No person has a double major. If a single student is chosen from the class, what is the probability that the student is a computer science or mathematics major? Click here to see answer by stanbon(57282)

 Question 342443: In a binomial situation n = 6 and .35. Determine the probabilities of the following events using the binomial formula. (Round your answer to 4 decimal places.) (a) x = 4 Probability (b) x = 5 Probability Click here to see answer by stanbon(57282)

 Question 342216: Data collected from past records reveals that 9% of the returns prepared by Wallen have been selected for audit by the IRS. Today, Wallen has six new customers. Assume the chances of these six customers being audited are independent. My question is this: What is the probability that exactly one of the six new customers will be selected for audit? I already have figured out the probability that all six new customers will be selected for audit (5.0*10^-7), and the probability that none of the six new customers will be selected for audit (.568). I am not sure if I need to use the answers from these 2 problems or not to figure out the answer to this question. I know the answer to my question (.337), but I do not know how to get to it. Click here to see answer by scott8148(6628)

 Question 342534: Bob went to buy a bunch of color papers. He bought a total of 435 color papers. There are 25 more red papers than brown papers. There are three times as many blue papers as brown papers. How many papers of each colors did he buy? Click here to see answer by stanbon(57282)

 Question 342500: Hello Stan sir, Both Question 342461 and Question 341115 are exact and similar problem, but answer by you is different. Am now confused about correct solution to this problem. Thanks Click here to see answer by stanbon(57282)

 Question 342482: Hello Stan sir, Both Question 342461 and Question 341115 are exact and similar problem, but answer by you is different. Am now confused about correct solution to this problem. Click here to see answer by stanbon(57282)

 Question 342479: A normal population has a mean of 75 and a standard deviation of 5. You select a sample of 40. Compute the probability the sample mean is: a. Less than 74. b. Between 74 and 76. c. Between 76 and 77. d. Greater than 77. Click here to see answer by stanbon(57282)

 Question 342676: Please help! A traffic signal is green for 20 seconds, then amber for 5 seconds, then red for 30 seconds. When you reach the signal, what is the probability it is: a: green b: amber Click here to see answer by stanbon(57282)

 Question 342692: You have a bag with five tiles. Three are yellow, one is blue and one is red. How many different patterns could you create? Click here to see answer by Fombitz(13828)

 Question 342697: In a recent study 90 percent of the homes in the United States were found to have color TVs. In a sample of nine homes, what is the probability that: a. All nine have color TVs? b. Less than five have color TVs? c. More than five have color TVs? d. At least seven homes have color TVs? Click here to see answer by stanbon(57282)

 Question 342730: you have been dealt 2 cards from a deck of 52 shuffled cards. there are four suits or 13 cards each. two suits are black and two are red. what is the probability the two cards you are dealt will both be black? Please help me STAT! My friend asked me for help on this problem and it's been YEARS since I've done statistics! Thanks. Click here to see answer by stanbon(57282)

 Question 342707: the mean age of the employees at a company is 39.the standard deviation of the ages is 4.suppose the same people were working for the company 5 years ago. what was the mean mean and standard deviation then? Click here to see answer by stanbon(57282)

 Question 342846: Sixty-five pefcent of the students are under age 24. If 5 of these students are selected, what is the probability they are all 24 or older? I don't even know where to begin with this one.... Do I change 65% into .65 and multiple it by 5? Click here to see answer by stanbon(57282)

 Question 342849: You must go through three tunnels to complete the journey. The probability of their being blocked is 15% for the first, 20% for the second and 15% for the third. What is the probability of completeing the journey? I did: 15%=.15 20%= .20 15%= .15 .15+.20+.15=.50 so the answer would be 50%??? Click here to see answer by stanbon(57282)

 Question 342847: If 4 factories in a group of 20 factories in a community are violating environmental regulations and 6 are randomly selected for inspection, what is the probability that none of the violators will be selected? I did: 6/20= 0.3% no violators will be selected Is this correct? Do I leave it as a percentage? Click here to see answer by stanbon(57282)

 Question 342845: Assume that you must take a history, math, and science course. There are 2 history courses, 3 math courses and 3 science courses available. How many choices are possible? I did: (2)(3)(3)= 18 choices Correct? Thanks Click here to see answer by stanbon(57282)

 Question 342868: A file cabinet contains 3 blue and 6 red folders. If folders are randomly selected, "without replacement", what is the probability of selecting: A. Two red folders? B. Three blue folders? C. The first folder blue and the second folder red? D. A red and a blue folder? I got: A: 2/9= 22.22% B: 3/7= 42.85% C: 0 (because the blue folders were taken out with replacement?) D: 0 (because again, there are no blue folders left?) Click here to see answer by edjones(7569)

 Question 342864: A file cabinet contains 3 blue and 6 red folders. If one folder is randomly selected, what is the probability of selecting: A. A blue folder? B. Either a red or a blue folder? I got: A: 3/9= 33.33% B: 6/6= 100% Not sure if this one is right..If not, what are the correct steps? Click here to see answer by edjones(7569)

 Question 342884: How many ways can 6 different lamps be arranged on a shelf? I got: (6)(5)(4)(3)(2)(1)= 720 Click here to see answer by nyc_function(2733)

 Question 342888: A teacher will select 5 questions from 12 available questions. How many different arrangements are possible for the 5 selected questions? I got: (5)(4)(3)(2)(1)= 120 ways Click here to see answer by nyc_function(2733)

 Question 342935: For this problem, assume the balls in the box are numbered 1 through 7, and that an experiment consists of randomly selecting 3 balls one after another without replacement. (1) How many outcomes does this experiment have? (2) What probability should be assigned to each outcome? (3) What probability should be assigned to the event that at least one ball has an odd number? Click here to see answer by stanbon(57282)

 Question 342885: From a standard deck of cards, what is the probability of randomly selecting either a four or a spade? I got: Knowing there are 52 cards in a deck, 4 of each (spade and a four) 8/52= 15.38% Click here to see answer by akc(7)

 Question 342886: How many ways can the letters RRSRSS be arranged? I got: (6)(5)(4)(3)(2)(1)= 720 ways Click here to see answer by Fombitz(13828)

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