probability that at most (3) samples out of (300) concrete cubes will fail in the test ?using Poisson Distribution
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- 40% Question* Consider that the mumber of flaws occurring in each 100 feet of material follows the Poisson distribution with an average of 2 flaws. The probability that in 250 feet of material will occur at least4 feet is: None of these 0.8753 0.7350 0.5595 QuestionCoal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 53 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 53 tons and standard deviation o = 1.3 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 52.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 42 cars chosen at random will have a mean load weight x of less than 52.5 tons of coal? (Round your answer to four decimal places.)Reutilizar archi... Complementos Multimedia Comentarios Encabezado y pir The score in the final statistics exam is distributed as a normal random variable with mean of 72 and standard deviation of 7 points. Determine: The probability of getting more than 90 on the exam is: (use 4 decimal places) The probability of getting between 65 and 80 on the exam is: (use 4 decimal places) If the teacher will give A to the top 10% of the scores, what is the minimum rating a student must obtain to receive an A? (round to the nearest integer)
- The predictive distribution pynewy) for a new observation Ynew takes into account the posterior uncertainty of the parameters. True FalseDistinguish between discrete random variable and continuous random variable. Why time cannot be measured in a discrete scale?Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 70 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 70 tons and standard deviation o = 1.4 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 69.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 30 cars chosen at random will have a mean load weight x of less than 69.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 30 cars selected at random had an average x of less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that…
- K Trials in an experiment with a polygraph include 96 results that include 23 cases of wrong results and 73 cases of correct results. Use a 0.05 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution. cx A @ Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: p=0.20 H₁: p0.20 J D. H₂ p=0.80 H₁: p*0.80 OF H₂: p=0.80 H₁: p>0.80 * 8 A DII 1 M D 5373255 (1).docx 9 K O 1 дв O 4 F10 P 7 L command > Clear all . : ; d { + [ option ? Check answer 11 1 1 Show All F } 1 X deleteFind the normal distribution with a mean of 100 and standard deviation of 15 for questions 5,6,7, and 8In a sample of 900 gas stations, the mean price of regular gasoline at the pump was $3.746 per gallon and the sta dar deviation was $0.009 per gallon. A random sample of size 55 is selected from this population. What is the probability that the mean price per gallon is less then $3.742?
- Weekly demand at a grocery store for a brand name box of cereal is normally distributed with a mean of 800 boxes and a standard deviation of 75 boxes.a) What is the probability that weekly demand is…(1) 959 boxes or less?(2) More than 1004 boxes?(3) Less than 650 boxes or greater than 950 boxes? b) The store orders cereal from a distributor each week. How many boxes should the store order in a week to have only a 2.5% chance of running short during that same period?Quesiton 36Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 53 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 53 tons and standard deviation = 0.9 ton. USE SALT (a) What is the probability that one car chosen at random will have less than 52.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 29 cars chosen at random will have a mean load weight x of less than 52.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 52.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? OYes O No Suppose the weight of coal in 29 cars selected at random had an average x of less than 52.5 tons. Would that fact • make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that…