Suppose a filling machine is used to fill cartons with a liquid product. Table Q2 below showsdata for the weight of 30 cartons. Assume that the weight of the cartons filled with a liquidproduct is normally distributed.Table Q2 Weight of 30 cartons filled with a liquid product9.9399.1559.7989.7329.8469.1229.4359.1359.6529.2638.7589.0739.0808.6439.5349.9869.3859.5189.3189.0249.2529.4229.8589.6268.1249.4649.3189.2759.0259.737 (a)What is the probability that on average, the weight of a carton is more than 9.135 oz?(b)What is the probability that on average, the weight of a carton is between 9.125 oz and9.525 oz?(c)The specification strictly enforced for the filling machine is that all cartons need to havea mean weight of 9.0 + 0.125 oz. If any carton is produced with weight outside thesebounds, it is considered by the supplier to be defective. Calculate the probability that acarton selected is considered defective.

Answered: Image /qna-images/answer/6d778a0c-d921-4786-aeaf-c9ef10d1ba24.jpg

Answered: (a) What is the probability that on…

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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The average speeds of cars on a highway are distributed according to a normal distribution. Today, John is on his way to work. As he enters the highway, he notices a car speeding by at 150 km/hr. Ten seconds later, another car speeds by at 160 km/hr. John concludes that today, cars must be going faster for some reason. A few minutes later, John gets into a minor accident. Once again, he concludes that it was inevitable - he got into the accident because cars were driving faster today. Explain what fallacies - if any-are involved in both of John's claims. Is John justified in his conclusions?
The average grade of Grade 11 students in Statistics and Probability is 85 with a standard deviation of 1.5 Solve for the probability of the following: a) The average grade is less than 88 b) The average grade is more than 88 c) The average is less than 82
The distribution of life spans is approximately normal and u=40, how large a sample is required in order that the probability of committing a type II error be 0.1 when the true mean is 35.9 months? Assume that o = 5.8 months.
The number of ants per acre in the forest is normally distributed with mean 45,000 and standard deviation 12,005. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. please answer all 3 subs B, C, and D round all answers to 4 decimal place where possible thank youb. Find the probability that a randomly selected acre in the forest has fewer than 54,589 ants. c. Find the probability that a randomly selected acre has between 48,168 and 56,283 ants. d. Find the first quartile. ants (round your answer to a whole number)
8) a) In simple words describe the median, dos, of the probability distribution for a continuous random variable Y. b) Write the median for a random variable with uniform distribution on the interval [a,b]. c) Write the median for a normal distribution with mean u and standard deviation o. d) Find the median for an exponential distribution with mean ß.
7) At one college, GPA's have a distribution that is unimodal and symmetric with a mean of 2.6 and a standard deviation of 0.5. What is the range of GPA's from one standard deviation below the mean to one standard deviation above the mean? A) 2.6 to 3.1 B) 2.1 to 3.1 C) 0.5 to 3.1 D) 2.1 to 2.6
10. The time between calls to a plumbing supply business is exponentially distributed with a mean time between calls of 15 minutes. a. What is the probability that there are no calls within a 30- minute interval? b. What is the probability that at least one call arrives within a 10-minute interval? c. What is the probability that the first call arrives within 5 and 10 minutes after opening? d. Determine the length of an interval of time such that the probability of at least one call in the interval is 0.90
A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305. a) What proportion of his trees are infected by the parasite? Your answer is 1 b) If a given tree is not infected, what is the probability that this tree was an apple tree? Your answer is
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 115 cm and a standard deviation of 5.5 cm. A. Find the probability that one selected subcomponent is longer than 117 cm. Probability = B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 117 cm. Probability = C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 117 cm. Probability =
Assume that adults have IQ scores that are normally distributed with a mean of u =100 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ less than 115. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 115 is (Type an integer or decimal rounded to four decimal places as needed.)
The weights of steers in a herd are distributed normally. The variance is 40,000 and the mean steer weight is 1400lbs. Find the probability that the weight of a randomly selected steer is between 1537lbs and 1679lbs Round your answer to four decimal places.
Suppose the lengths of human pregnancies are normally distributed with µ = 266 days and o= 16 days. Complete parts (a) and (b) below. (Type integers or decimals.) A. The proportion of human pregnancies that last less than B. The proportion of human pregnancies that last more than days is days is Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The probability that a randomly selected human pregnancy lasts less than B. The probability that a randomly selected human pregnancy lasts more than (b) The figure to the right represents the normal curve with µ = 266 days and o = 16 days. The area between x = 280 and x = 295 is 0.1558. Provide two interpretations of this area. days is days is Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or…

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