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 462053: Form the contrapositive: If I do not change my cars oil, then my car will have engine trouble a)If I change my cars oil then my car will not have engine trouble b) If my car has engine trouble, then I did not change my oil c)If my car does not have engine trouble, then I did not change my cars oil d)If my car has engine trouble, then I changed my cars oil e)If my car does not have engine trouble, the I changed my cars oil Click here to see answer by rwm(914)

 Question 462004: Can a kind tutor please tell me if I did these difficult homework problems correctly? 7. Of the 100 people who were given a new sleeping aid, 30 experienced a light headache, 18 experienced a reduced appetite, and 60 experienced neither side-effect. How many people experienced both a light headache and a reduced appetite? 60-48 - 12? 8. A quiz consists of 6 multiple-choice questions, each has three possible answers. In how many different ways can the quiz be answered if one answer is chosen for each question? 3^6= 729? 9. A code consists of two letters chosen from the English alphabet, followed by 4 digits. If the first letter must be a K or an M, the second letter can be any one of the 26 letters, how many different codes are possible? 2 x 26= 52 x 10^4= 52,000? 10.In how many ways can two math books and three English books be arranged in a row if the two math books must be placed next to each other? 4!? Click here to see answer by Edwin McCravy(8909)

 Question 462108: A random sample of 10 miniatures Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477 (a) Construct a 90 percent confidence interval for the true mean weight. Click here to see answer by stanbon(57377)

 Question 462120: I just need someone to kindly look over these problems and let me know if I did them correctly. 1. In how many ways can three drivers be hired from a pool of 10 applicants to drive three identical cars? 3!10? 2. In how many ways can three drivers be hired from a pool of 10 applicants to drive a sedan, a minivan, and a pickup truck? 3!10 x 3!? 3. A coin is flipped 12 times and the sequence of heads and tails is observed. In how many ways can the sequence consist of exactly 7 heads and 5 tails? I dont know how to set this one up! 5. In how many ways can 2 C’s, 4 D’s, and 6 F’s be awarded to 12 politicians, one letter for each politician? 2!4!6!12!? 6. 15 people enter an art contest. In how many different ways can a champion, a first runner-up, and a second runner-up be selected? 15!3 7. In how many different ways can a committee of 9 members be chosen from 6 freshmen, 5 sophomores, and 4 juniors if the committee must consist of 4 freshmen, 3 sophomores, and 2 juniors? 9!6!5!4! x 4!3!2! 8.In how many different ways can a committee of 9 members be chosen from 6 freshmen, 5 sophomores, and 4 juniors if the committee must consist of at least one freshman? 9!6!5!4! x 6! . Click here to see answer by stanbon(57377)

 Question 462123: Five cards are drawn without replacement from a standard 52 card deck. Find the probability of getting at least one black card. Click here to see answer by stanbon(57377)

 Question 462211: A hospital is hoping to introduce a Fast Care Unit. The hospital finds that after the initial run, 75% of the patients were pleased with the service. We ask 15 randomly selected patients whether or not they are pleased with the service. (a) Is this a binomial experiment? Explain how you know. (b) Use the correct formula to find the probability that, out of 15 patients, exactly 11 are pleased with the service. Show your calculations or explain how you found the probability Click here to see answer by stanbon(57377)

 Question 462204: . A medical researcher wishes to try three different techniques to lower blood pressure of patients with high blood pressure. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's blood pressure is recorded. Find the critical value F0 to test the claim that there is no difference among the means. Use α = 0.05. Click here to see answer by stanbon(57377)

 Question 462187: 1.Mr. A has a career batting average of .325. What was the probability that would get at least one hit in five official times at bat? 2.A factory finds that on the average 20% of the bolts produced by a given machine will be defective for certain specified requirements. If 10 bolts are selected at random from the days production of this machine, find the probability that 2 or more will be defective. Click here to see answer by stanbon(57377)

 Question 462049: Im not understanding this question For a group of 22 college football players the mean heart rate after a morning workout session was 86 beats per minute and the stnadard deviation was 5. Find the 90% confidence interval of the tru mena for all college football players after a workout session. If a coach did not want to work his team beyond its capacity what maximum values should he use for the mean number of heartbeats per minute? Click here to see answer by stanbon(57377)

 Question 462313: Which of the following is NOT a cause for concern when conducting a survey? A. Voluntary Response B. Randomizing C. Convenient Sampling D. Long Surveys E. Leading Questions Click here to see answer by math-vortex(472)

 Question 462314: Which one of the following is NOT one of the principles of experimental design? A. Replicate B. Blocks C. Control D. Confounding E. Randomization Click here to see answer by MathLover1(6634)

 Question 462316: By the Law of Large Numbers, if you flip a coin 6 times and get 6 heads in a row, the next flip will be a tail because the coin "owes" you a tail. Answer True False Click here to see answer by richard1234(5390)

 Question 462350: Five jelly beans are selected, one at a time from a bowl containing 6 black, 6 red and 6 green jelly beans. Let x represent the number of red jelly beans selected in 5 draws from the bowl. (A) If this experiment is completed without replacing the jelly beans, explain why x is not a binomial random variable. (B) If this experiment is completed with replacement of the jelly beans, explain why x is a binomial random variable. Click here to see answer by stanbon(57377)

 Question 462364: Consider the venn diagram below. Then numbers in the regions of the circle indicate the number of items that belong to that region. THE CIRCLE A=40 THE CIRCLE B=80 AND THE SHARED REGION IS 10. DETERMINE: n(a) n(b) p(a) p(b) p(a/b) p(b/a) (the slash between the letters is meant to be a strait line. THANK YOU ALL AGAIN FOR ALL OF YOUR HELP! Click here to see answer by edjones(7569)

 Question 462372: a bag contains a total of 9 batteries, of which five are defective. selecting two at random, without replacement, determine the probability that none of the batteries you select are good. Click here to see answer by edjones(7569)

 Question 462373: Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following: (A) Ho:u ≥ 81 and Ha: u < 81 ,  = 0.05 (B) Ho:u = 45 and Ha: u not equal 45,  = 0.10 (C) Ho:u ≤ 88 and Ha: u >88,  = 0.01 show all work Click here to see answer by edjones(7569)

 Question 462369: a parent can choose from 7 types of protein, 5 vegetables, and 3 desserts. If the parent serves a meal of 1 protein, 1 vegetable, and 1 dessert to the family, how many different meals can be served? Click here to see answer by edjones(7569)

 Question 462324: Jessica Salas, president of Salas Products, is reviewing the warranty policy for her company's new model of automobile batteries. Life tests performed on a sample of 100 batteries indicated: (1) an average life of 75 months, (2) a standard deviation of 5 months, and (3) a bell shaped battery life distribution. What percentage of the batteries will fail within the first 65 months of use? Click here to see answer by edjones(7569)

 Question 462371: a card is selected from a deck of 52 playing cards. find the probability of selecting: .an even number ten or less given the card is not a diamond. .an ace, given that the card is black. .a spade given the card is red. show step by step work. give all solutions exactly in reduced fraction form. Click here to see answer by edjones(7569)

 Question 462398: I am still having trouble trying to solve this problem. Everytime I do it I come up with a different answer. Can someone please show me how to go beyond this step? 8.In how many different ways can a committee of 9 members be chosen from 6 freshmen, 5 sophomores, and 4 juniors if the committee must consist of at least one freshman? Ans: #'s in the order of (frosh;soph;juniors) The limits are 6 frosh;5 soph;4 juniors 1:5;3 (this means 1 frosh; 5 soph; 3 juniors): # of ways = 6*5*4C3 = 6*5*4 = 120 1;4;4::: # of ways = 6*5C4*4C4 = 30 Click here to see answer by edjones(7569)

 Question 462397: Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color? Click here to see answer by edjones(7569)

 Question 462386: what are the odds a mini golfer hits two holes in one in a row? Click here to see answer by edjones(7569)

 Question 462317: There were 5 Multiple choice question with 4 possible answers to each on a history test. If you guessed on all of them, what's the probability that you got at least one question wrong? A. 0.25 B. 1.25 C. 0.9990 D. .0009 E. 0.20 Click here to see answer by edjones(7569)

 Question 462475: PLEASE HELP ME, I posted this problem once, and no one responded, can you help me? which pair has equally likley outcomes? list the letters of the two choices below which have equal probabilities of success. a)drawing a red seven out of a standard 52 card deck given its not a face card or an ace. b)drawing a five out of a standard 52 card deck given its not a face card or an ace. c)rolling a sum of 4 on two fair six sided dice. d)rolling a sum of 5 on two fair six sided dice. e)rolling a sum of 7 on two fair six sided dice. Click here to see answer by math-vortex(472)

 Question 462480: I appreciate all of the help you have given me, I was failing my math class until I found you. Can you help me with this problem. Given that P(A)=0.4 AND P(B)=0.5 AND P(A AND B)=0.16 DETERMINE P(B|A). Click here to see answer by edjones(7569)

 Question 462483: I am trying hard to understand this stuff, but I am struggling, any help will be appreciated. PERCENTILES: a union leader is told that, when all workers salaries are considered, the first quartile is \$20,750. explain what that means. Click here to see answer by edjones(7569)

 Question 462478: Hi, I have already sumitted this problem once, but havent gotten a reply, can someone help me? a mini license plate for a toy car must consist of a number followed by two letters. Each letter must be a C, A, or R. each number must be a 3 or 7. repetition of letters is permitted. .use the counting principle to determine the number of points in the sample space. .construct a tree diagram to represent this situation. .list the sample space. .determine the exact probability of creating a mini license plate with a C. give solutions exactly in reduced fraction form. Click here to see answer by edjones(7569)

 Question 462482: can you help me figure out the rest of this problem? the venn diagram below. the numbers represent the regions. circle a=40,circle b=80 and the area where the circles intersect is 10. DETERMINE: n(A) n(B) Click here to see answer by math-vortex(472)

 Question 462501: Match each Sampling Technique with the example given. 1. Stratified 2. Random 3. Cluster 4. Systematic 1 2 3 4 A. Every 5th item from a conveyer is measured for size 1 2 3 4 B. From the inventory of boxes of pens at Office Depot, one box of each color is chosen and every pen in the box is tested to see if they work. 1 2 3 4 C. In the parking lot cars are separated by color and all red cars and all yellow cars have their tire pressure tested. 1 2 3 4 D. To select who gets a bonus, a random number generator is used to select five names from a list of employees. Click here to see answer by math-vortex(472)

 Question 462510: A raffle has \$5 tickets and is selling 2000 of these tickets. The prizes are 1st place: \$1000 in cash, 2nd place: 5 - \$300 cash , and 3rd place 10 - \$100 cash. Tickets will be drawn randomly once all the tickets are sold. If you buy 1 ticket, what is your expected value? Enter just the number as a dollar amount, rounded to the nearest cent (if necessary). No \$ sign please. Click here to see answer by Edwin McCravy(8909)

 Question 462548: PLEASE HELP ME SOLVE......CAN'T FIGURE OUT WHAT I'M DOING WRONG. City Number of Vehicle Tags Sold Bristol 1863 Trevor 3544 Camp Lake 2457 Salem 1756 Paddock Lake 2541 One car is selected at random from the cars with vehicle tags from these cities. What is the probability that this car is from Salem? (Round your answer to four decimal places.) A. 0.1444 B. 0.1521 C. 0.2074 D. 0.1688 I picked the correct answer (A= I guessed)I do not understand how to solve. I have to see steps in order to understand. Click here to see answer by MathLover1(6634)

 Question 462597: A person tosses a coin 20 times. In how many ways can he get exactly 13 tails? Click here to see answer by stanbon(57377)

 Question 421896: Fifty-six percent of electronic gamers play games online, and sixty-four percent of those gamers are female. What is the probability that a randomly selected gamer plays games online and is male? Click here to see answer by baseballdad(1)

 Question 462673: to issue at least 1 million license plates, find the number of digits you will have to combine with two letters. Click here to see answer by stanbon(57377)

 Question 462668: The mean number of hours worked for the 30 males was 6, and for the 20 females was 9. What is the overall mean of hours worked Click here to see answer by robertb(4012)