A worn machine is known to produce 10% defective components. In a run of 3 components, find the probabilities that of 0, 1, 2 and 3 defectives using both the Binomial and the Poisson. Comment on your results
Q: 2. A large corporation determines that 20% of its employees leave the company taking up an offer…
A: Given Data : P =20% =0.2 q = 1-p = 1-0.2 = 0.8 n = 16
Q: Directions: Pick a scenario describe a binomial experiment. Recall the random variable X is for the…
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A: Given that: Success probability, p=0.40
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Q: Solve step by step in digital format 8.- A company that manufactures concrete slabs suspects that 2%…
A: Company manufactures concrete slabs : 2% of its production is defective Now suspension is correct…
Q: Suppose 3% of the people contacted by phone are receptive to a certain sales pitch and buy your…
A: given data p = 0.03 n = 2000 P(x>100) = ?
Q: A fair coin is tossed 3 times. Find the probability of tossing 3 tails in a row, answer as a…
A: Let H denote heads Let T denote tails Let S be sample set S={ HHH, HHT, HTH, THH, TTT, TTH,…
Q: You have a fair three sided die, a fair six sided die, and a fair twelve sided die in a bag. With…
A:
Q: We have an empty 4X4 grid. We then place 4 apples at random in different squares of the grid. What…
A: Let us represent 4X4 grid by coordinates (i,j) where, i =1,2,3,4 and j = 1,2,3,4 So, there are 4*4 =…
Q: Q4/B/ Three machines A, B and C produce respectively 19%, 2% and 3% of the total number of items of…
A: Consider the following events, A=selected item is produced by machine AB=selected item is produced…
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Q: Suppose that the probability that Bob will go downtown is 45%. Now, also suppose that if Bob goes…
A: Given, Suppose that the probability that Bob will go downtown is 45%. Now, also suppose that if…
Q: Louberto would like to predict the number of acceptances into college. At each college he applies…
A: Given Information: Louberto wishes to predict the number of acceptances into college. At each…
Q: To compute P(A and B) means that we wish to find the probability that both A happened and B…
A: Given that A and B are independent events. P(A and B ) = P(A) P(B)
Q: Out of a group of 10 patients treated with a new drug, 4 suffered a relapse. If 3 patients are…
A:
Q: 38% of college students say they use credit cards because of the rewards program. You randomly…
A: n = 10 p = 0.38
Q: Find the mean and the variance of the outcome for this game
A: The given probability distribution table is, Outcome(X) $-1.00 $0.00 $3.00 $10.00 Probability…
Q: Aidan is a goalie for his school’s hockey team. He normally stops 87% of the shots that come his…
A:
Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…
A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11
Q: You have a fair three sided die, a fair six sided die, and a fair twelve sided die in a bag. With…
A: Given: A fair three sided die, a fair six sided die, and a fair twelve sided die in a bag.
Q: A white goose hunter kills 60% of the geese he kills he shoots. Calculate the probability that with…
A: Probability that a white goose hunter kills the geese(p)=0.60sample size(n)=10Let "x" be that the…
Q: Assume that the group has a portfolio of 6 stocks. There is 30% chance that any one of these stocks…
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Q: A place kicker in pro football has a 77% probability of making a field goal over 40 yd and each of…
A: Probability is the chance of occurence of particular event will happen. Probability always lies…
Q: At the cartons produced by a company 3% have a puncture 6% have a smashed corner and 0.4% have both…
A: Given that , cartons produced by a company, 3% have a puncture, 6% have a smashed corner, and 0.4 %…
Q: Suppose a system will only work if all 5 components work. The probability that a particular…
A: Given that the probability that a particular component works is 0.915.Each component is independent…
Q: Out of 800 families with four children each, what percentage would be expected to have no girls?…
A: Given that, Out of 800 families with four children each and boys and girls are equally likely to…
Q: In a large restaurant 3 out of 5 customers ask for water with their meal. Find the binomial…
A:
Q: in a recent survey, 72% of the community favorite building a healthcare center in their…
A: From the given information, n= 14 and p =0.72.
Q: In a clinical covid testing procedure researchers are experimenting by combining 6 samples of covid…
A: Given data in a clinical COVID testing procedure researchers are experimenting by combining 6…
Q: You wish to play a three-number lottery with your favorite data 8, 2 and 5. After a number is…
A: Given dataThere are 3 numbersRepetition is allowedWe are drawing a single number with replacement,…
Q: A landscaper mows 25 lawns per day on sunny days, 15 lawns per day on cloudy days, and no lawns if…
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Q: A person conducts experiments of a 3 coin toss. Find the probability that the person will get either…
A: Given A person conducts experiments of a 3 coin toss.
Q: A telephonist claims that he gets 10 calls every five minutes. To demonstrate this to his boss he…
A: Given that, Average 10 calls (μ=10)Here, we can use Poisson distribution
Q: The number of accidents at a certain intersection is a Poisson random variable. The probability that…
A: we have given that The probability that there are 2 accidents in any given week is 3 times as much…
Q: what is the probability that Joe will like all the boss’s choices
A: When ordering his new office equipment, Joe must choose one of 8 monitors, one of 9 printers, and…
Q: Suppose 57% of the students at UNCG are female. What is the probability of getting 40 or fewer males…
A: From the provided information, 57% of the students at UNCG are female. Probability of male student…
Q: 12 If 2 per cent of a certain brand of light bulbs are defective, find the probability that, in a…
A: As per given by the question, find the probability that in a random sample of 80 bulbs, a total 0,…
Q: In a large population, 63 % of the people have been vaccinated. If 3 people are randomly selected,…
A: Introduction: Denote X as the random variable of interest here, which is the number of people who…
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- Aidan is a goalie for his school’s hockey team. He normally stops 87% of the shots that come his way. In one particularly bad game, he let five of the 15 shots into the goal. He decides to cheer himself up by convincing himself that this game would be unusual for a goalie who stops 87% of the shots. He uses the table of random digits below using the rule that he will read across the row, two digits at a time, with 01–87 indicating a stop and 88–99 and 00 indicating a goal, until 15 attempts are recorded. 61373 70629 96541 81508 28214 06485 Which of the following statements about this random number table best describes the simulation? A. (61)(37)(3 7)(06)(29) 96(54)(1 8)(15)(08) (28)(21)(4 0)(64)(85) The underlined numbers in the random number table indicate saves, so in this simulation, Aidan stopped 14 of 15 shots. B. (61)(37)(3 7)(06)(29) 96(54)(1 8)(15)(08) (28)(21)(4 0)(64)(85) The underlined numbers in the random number table indicate goals, so in this simulation, Aidan…A huge pencil bag contains 40 pencils of two different shades, 4B and 6B. Initially, there are x numbers of 6B pencils in the bag. If 45 more 6B pencils are put in the bag, the probability of randomly picking a 6B pencil now will be quadruple that of the previous probability of picking a 6B pencil. With the given information, evaluate the original number of 6B shade in the pencil bag.Describe an example of when it might be appropriate to use a binomial experiment in the real world.
- An analyst is presented with lists of 4 stocks and 5 bonds. He is asked to predict, in order, the 2 stocks that will yield the highest return over the next year and the 2 bonds that will have the highest return over the next year. Suppose that these predictions are made randomly and independently of each other. What is the probability that the analyst will be successful in at least 1 of the 2 tasks?A small computer lab has 2 terminals. The number of students working in this lab is recordedat the end of every hour. A computer assistant notices the following pattern:- If there are 0 or 1 students in a lab, then the number of students in 1 hour has a50-50% chance to increase by 1 or remain unchanged. - If there are 2 students in a lab, then the number of students in 1 hour has a 50-50%chance to decrease by 1 or remain unchanged. (a) Write the transition probability matrix for this Markov chain.(b) Suppose there is nobody in the lab at 7 am. What is the probability of nobody workingin the lab at 10 am?Suppose we have a bucket of 20 balls with 10 red and 10 green. We take 5 draws and after each draw, we remove the chosen ball from the bucket before our next draw (this is called drawing without replacement). Can we use the binomial distribution to model this scenario? Why or why not?
- Answer ASAP, I'll upvote. Thanks. The championship series of a particular team sport requires that a team wins 3 games out of 5 possible games be declared the champion. The series ends once a team has won 3 games. Suppose that teams X and Y face each other in the championship games and that team X has 65% probability of winning a game over team Y. What is the probability that team X wins the championship in 4 games?Scenario 1: A surgeon routinely performs 4 surgeries. The chance that he performs surgery “A” is 30%. A random sample of 15 patients is selected. Let the variable X be defined as the number of patients that have surgery "A". Scenario 2: Thirteen (13) cards are randomly selected from a standard deck of cards without replacement. Let the variable X be defined as the number of spades selected. Directions: Pick a scenario describe a binomial experiment. Recall the random variable X is for the number of successes in a binomial experiment. • Be certain to state the criteria for a binomial distribution and how it does or does not meet each of the five conditions. Once your answer is posted, you will be able to see your classmates' responses.The digits 2, 3, 4, 5, 6, 7, and 8 are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than 800.
- A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try? Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws and must make both to win the game. What is the probability that Kay's team will win the game? Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch’s 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo’s margin of error, rounded to the nearest whole number? (The formula is )5. Suppose you are dealing two 5-card hands from a standard deck, one to yourself and one to a friend. Further suppose that you can control exactly what hand you will be dealt. What hand would you deal yourself so that the probability of your friend being dealt a straight flush is minimized? Explain your answer.A recent report revealed that 93% of Gmail accounts do not use two-factor authentication (2FA). 10 Gmail accounts are selected at random. Given that less than two Gmail accounts use 2FA, what is the probability that none of the Gmail account uses 2FA?
