The exam scores on a certain Society of Actuaries (SOA)professonal examination are Normally distributed with amean score of μ: = 70% and a standard deviation of o = 5%.(a) What is the probability that a random chosen personwho is writing this SOA exam will score at most 65%?Note, when finding/using z-values, use three decimals.(use four decimals in your answer)(b) What proportion of all persons writing this SOA Examwill score between 74% and 83% on the exam? Use fourdecimals in your answer.(c) 34% of all persons writing this SOA Examination willnot pass. What is the minimum mark needed to pass thisexam? Enter your answer to two decimal places, and enteras a percentage.%

Given information- Population mean, µ = 70% Population standard deviation, σ = 5% Let X be the exam…

Answered: The exam scores on a certain Society of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 88 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean µ = 88 tons and standard deviation o = 0.9 ton. (a) What is the probability that one car chosen at random will have less than 87.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 19 cars chosen at random will have a mean load weight x of less than 87.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 87.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Yes No Suppose the weight of coal in 19 cars selected at random had an average x of less than 87.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this deviation…
a sample size of 49 drawn from a population with a mean of 36 and a standard deviation of 15 for the size of the English class. What is the probability the class will have greater than 40?
MCAT scores are normally distributed with an average of 500.5 and a standard deviation of 10.5. The exam is given to 55 students at a testing center. What is the probability the average score of the 55 students is higher than 501? (Round to the hundredths) 0.36 0.4 0.64 0.638
The weights of Maine lobsters at the time of their catch are normally distributedwith a mean of 1.8 lb and a standard deviation of 0.25 lb. What is the probabilitythat a randomly selected lobster weighs (a) between 1.5 and 2 lb?, (b) more than1.55 lb?, (c) less than 2.2 lb? NOTE: Please explain each part, so the problem can be used as a Study Guide
Vehicle speed on a particular bridge in China can be modeled as normally distributed. USE SALT (a) If 5% of all vehicles travel less than 39.15 m/h and 10% travel more than 73.23 m/h, what are the mean and standard deviation of vehicle speed? (Round your answers to three decimal places.) mean standard deviation (b) What is the probability that a randomly selected vehicle's speed is between 50 and 65 m/h? (Round your answer to four decimal places.) (c) What is the probability that a randomly selected vehicle's speed exceeds the speed limit of 70 m/h? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.
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 65 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 65 tons and standard deviation ? = 1.7 ton. (a) What is the probability that one car chosen at random will have less than 64.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 37 cars chosen at random will have a mean load weight x of less than 64.5 tons of coal? (Round your answer to four decimal places.)
Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 78 and a standard deviation of 8. Use the TI-84 PLUS calculator to answer the following Round the answers to at least four decimal places (a) What proportion of the scores were labove 927 (b) What proportion of the Scores were below 64? (c) What is the probability that a randomly chosen score is between 70 and 85?
please answer the question in the photo. Thank you
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.9 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible.a. What is the probability of spending more than 3.2 days in recovery? b. What is the probability of spending between 3.8 and 4.5 days in recovery? c. The 75th percentile for recovery times is days.
Let X1, X2, X3, be a r. s. from normal distribution with mean 0 and variance 1, let the prior distribution of 0 is normal with mean zeroand variance 1. Let L(6,0) = (ô - 0). Find the Bayes estimator of 0
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 69 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 69 tons and standard deviation ? = 1.5 ton. (a) What is the probability that one car chosen at random will have less than 68.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 46 cars chosen at random will have a mean load weight x of less than 68.5 tons of coal? (Round your answer to four decimal places.)(c) Suppose the weight of coal in one car was less than 68.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? YesNo Suppose the weight of coal in 46 cars selected at random had an average x of less than 68.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? Yes, the probability that this…
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