Explain why the result of two consecutive spins on a spinner are considered INDEPENDENT. Describe a scenario involving pulling two consecutive cards from a deck that would be considered INDEPENDENT Describe a scenario involving pulling two consecutive cards from a deck that would be considered DEPENDENT
Q: Calculate E(x), expectation of X b) Calculate V(X) the variance of X
A: Given X represents the no. of job office that slice gotX∈0,1, 2, 3, 4P(X=0) = 0.10P(X=1) =…
Q: 56% of US college students are women, and 28% of US college students major in Mathematics and…
A: It is given that 28% of US college students major in mathematics and statistics, out of those who…
Q: Mr. A draws a ticket from a box containing 2 bad,10 good and 5 very good tickets. If Mr. B draws a…
A: Given, A box containing 2 bad,10 good and 5 very good tickets. Mr A draws a ticket from the box. If…
Q: 3) Describe a scenario involving pulling two consecutive cards from a deck that would be considered…
A: A deck has 52 cards. An event will be called dependent to another event if the probability of its…
Q: You are rolling two dice, what are your chances of winning If the two dice should have an equal…
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Q: If you roll two dice 20 times, how often should you get an odd number with the first and an even…
A: total outcomes =36
Q: While Kiara is deciding which game to play, Denny and Rayanna play Spin the Wheel. In this game, the…
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Q: n a baseball game, Jim is the pitcher and Joe is the batter. Suppose that Jim can throw either a…
A: (a) Define the alternatives for this situation. Jim's alternatives: Throw curve or fast ball.…
Q: placekicker in pro football has a 77% probability of making a field goal over forty yards on each…
A: Given: Each attempt that is made to field goal is independent. The team will win if a goal is made…
Q: You Roll two fair dice, one white and one red. Find P(5 on white die and 3 on red die)
A: Given information Two fair dice One white and one red
Q: there are two baskets, in the first, 4 red , 8 white balls, in the second 7 red and 6 white balls,…
A: Two basket 1: 4red+8white = 12 balls 2: 7red+6white = 13 balls Probability = favorable/total
Q: 3 Three urns contain, respectively, 1 white and 2 black balls, 2 white and 1 black balls, 2 white…
A: Given that, three urns contain 1 white and 2 black balls, 2 white and 1 black ball, and 2 white and…
Q: A casino roulette has 38 number outcomes 18 are Red, 18 are Black and 2 are Green for the house.…
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Q: Suppose we have a bowl with 10 marbles - 2 red marbles, 3 green marbles, and 5 blue marbles. We…
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Q: Draw a box-and-whisker plot for both sets of data on the same number line. Use the double…
A: Box plot is one of the chief methods to analyze a data graphically. It is used to compare how two…
Q: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips. If drawing without replacement,…
A: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips.
Q: A teachers looks over her class and notices a few trends. Out of the 60 students in the class,…
A: According to the provided data, the total number of students are 60 out of which 23 have brown hair,…
Q: A club of 15 people consists of 7 men and 8 women. A team of 7 is randomly selected from the club.…
A: Given, no.of mens=7no.of women=8total no.of people =15
Q: With the rise of online shopping and the incoming 11.11 sale of Lazada and Shopee, you also set up a…
A: The number of spin options is 20. The probability that the showing up is 1 is 220=0.1. The…
Q: A contains 4 white and 6 black balls, while Bin B – 5 white and 3 black balls. A ball is picked up…
A: Probability: The ratio of the number of favorable outcomes to certain event and total number of…
Q: A bag holds a total of 70 balls, including 8 red, 22 white, and 8 blue balls. Two balls are pulled…
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Q: A teacher will pick 1 student at random from 10 for the lead in a play. What is the probability of a…
A: Given Picked student = 1 Total sample space = 10 Formula used: Probability=favourable casesTotal…
Q: This is a gacha card game. The banner has regular role cards and magic role cards. Each time you row…
A: To Find: (a) Probability of getting a magic role card Within forty times drawing. (b) Expected…
Q: One bag contains 11 red balls and 3 green balls. A second bag contains 7 red balls and 9 green…
A: Let,G1 = event that Bob selects a green ball from the first bagG2 = event that Alice selects a green…
Q: Three group of children contain respectively three girls and one boy; two girls and two boys; one…
A: Introduction :
Q: Find the probability that the transferred ball was black.
A: Let us define some events A : black ball was transferred. B : red ball was transferred. E : red ball…
Q: One lot contains 2 boxes with organic tomatoes and 8 boxes with non-organic tomatoes; the boxes lost…
A: Number of organic tomato boxes are 2. Number of inorganic tomato boxes are 8.
Q: With the rise of online shopping and the incoming 11.11 sale of Lazada and Shopee, you also set up a…
A: Given that: If a number 1 comes up, the customer wins Php500. If the number 2 comes up, the customer…
Q: You roll 2 fair dice, one green and one red. Are the outcomes on the dice independent.
A: Given that, Roll a 2 fair dice, one green and one red.
Q: There are 2 red marbles, 3 yellow marbles and 5 green marbles in a container. Find the…
A: There are 2 red marbles, 3 yellow marbles and 5 green marbles.
Q: A gray mouse has a 30% chance of stealing cheese from a mousetrap without getting caught, while a…
A: The provided information is: p1=PGray mouse stealing cheese=0.30p2=PWhite mouse stealing…
Q: If two cards are drawn without replacement from an ordinary deck, find the probability of an ace…
A: P(an ace and a 3 being drawn)=?
Q: Create a contingency table for interaction between age and gender. Calculate the conditional…
A: Given information: The tabulated data provided as: Case Hospitalized? Gender Age Insured Count…
Q: coin is flipped three times. Y is a random variable that assigns 3 times the number of heads flipped…
A: We want to find numbers is assigned to HHT
Q: Are the events A intersect B and the B intersect the same? Why
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Q: company records for 600 employees show that 120 have been reprimanded more than once and 450 have…
A: To find the probability that an employee is a woman who has received exactly one reprimand, we need…
Q: In the US, we categorize adolescent girls as either anemic, border line anemic or as having a normal…
A: Solution-: Suppose 10% of adolescent girls are anemic, 15% are border line anemic and the rest have…
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- You wish to play a three-number lottery with your favorite data 8, 2 and 5. After a number is drawn, the number is placed back in the container for the next draw. What is the probability that the three winning numbers will be 8, 2 and 5? Are the numbers independent of each other? How would the probability change if no repetition is allowed?A toddler is playing with some magnetic letters on the refrigerator. He has the letters l, t, b, a, ande. If he arranges the letters in a line to make a word, what is the probability that he makes the word‘table‘?There are three typists in an office. Each typist can type an average of 6 letters per hour. If a letter arrives for being typed at the rate of 15 letters per hour, What s the average number of letters waiting to be typed? What s the average time 3 letter has to spend waiting and for being typed? What s the probability that a letter wil take longer than 20 minutes waiting to be typed and being typed?
- A spinner has four equally sized sectors that are numbered 1, 2, 6, and 6. The spinner is spun twice and the product of the outcomes is found. A fair decision is to be made about which one of four flowers will be planted. The flower options are peonies, roses, asters or petunias. Which description accurately explains how a fair decision can be made in this situation? If the product of the spins is 4, peonies will be planted. If the product is 12, roses will be planted. If the product is 36, asters will be planted. If the product is 1, 2 or 6, petunias will be planted. If the product of the spins is 6, peonies will be planted. If the product is 12, roses will be planted. If the product is 36, asters will be planted. If the product is 1, 2 or 4, petunias will be planted. If the product of the spins is 6, peonies will be planted. If the product is 4, roses will be planted. If the product is 36, asters will be planted. If the product is 1, 2 or 12, petunias will be…Angelina buys a bag of cookies that contains 8 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 9 oatmeal cookies. What is the probability that Angelina reaches in the bag and randomly selects a peanut butter cookie from the bag, eats it, then reaches back in the bag and randomly selects an oatmeal cookie?A soccer team has 2 games scheduled for the weekend. It has a 0.4 probability of not losing the first game and a 0.7 probability of not losing the second game, independently of the first. If it does not lose a particular game, the team is equally likely to win or tie, independently of what happens in the other game, The team will receive 2 points for a win 1point for a tie, and Opoints for a loss. Find the pmf of the number of points that the team earns over the weekend.
- A bag contains 5 green and 10 white balls. If one ball is drawn from it, find the chance that the ball drawn is green.An engineer decides to buy four new snow tires for his car. He finds that Retailer A is offering a special cash rebate, which depends on how much snow falls during the first winter. If this snowfall is less than 50% of the mean annual snowfall for his city, his rebate will bet 50% of the list price. If the snowfall that winter is more than 50% but less than 75% of the mean annual snowfall, his rebate will be 25% of the list price. If the snowfall is more than 75% of the mean annual snowfall, he will receive no rebate. The engineer finds from a reference book that the annual snowfall for his city has a mean of 80 cm and standard deviation of 20 cm and approximates a normal distribution. The list price for the brand and size of tires he wants is $80.00 per tire. The engineer checks other retailers and finds that Retailer B sells the same brand and size of tires with the same warranty for the same list price but offers a discount of 5% of the list price regardless of snowfall that…Jimmy has a a three sectioned box filled with 45 marbles total. What is the probability of the configuration for the left section to be filled with 10 marbles, the middle section filled with 35 marbles, and the right section with no marbles?
- An organizational psychologist wants to know if workers' health would be affected if a company gave them extra days off. All workers take a standard physical exam twice a year and are given an overall health rating with higher scores indicating better health. The psychologist selected seven workers at random, arranged to have them receive an additional 2 days off every month over the period between health exams, and then compared the health scores on the two exams. Do the scores in the table below support the notion that having extra days off affects health? Carry out a t test for dependent means (using the .01 significance level). What should the researcher conclude? a.) Use the five steps of hypothesis testing. Label all the steps clearly. Show ALL work/calculations. b.) Report the statistic in APA format (the statistical sentence). Workers' Health Ratings Before and After Extra Days Off Participant Before After A 3 3 6 6. 17 F 4A stick is broken into two at random; then the longer half is broken again into two pieces at random. What is the probability that the three pieces will make a triangle?Two marbles are drawn from a bag that is 3 red, 4 purple, and 2 black. Find the probability that you picked Atleast one purple. You must draw the tree diagram.