The screws producted by a certain machine were checked by examining thenumber of defectives in a sample of 128. The following table shows the distribution of 128samples according to the number of defective items they contained :5No. of defectives12347Total:No. of samples719353023128:Fit a binomial distribution and find the expected frequencies if the chance of machine being1defective is. Find the mean and variance of the fitted distribution.

Given: x f 0 7 1 6 2 19 3 35 4 30 5 23 6 7 7 1 Sum 128

Answered: The screws producted by a certain…

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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17).
Suppose that the speed at which cars go on the freeway is normally distributed with mean 78 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. a. What is the distribution of X? X N( b. If one car is randomly chosen, find the probability that it is traveling more than 75 mph. Round to 4 decumal places. c. If one of the cars is randomly chosen, find the probability that it is traveling between 81 and 87 mph. Round to 4 decimal places.
1.A personnel manager is employed in a corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.Find the 95th percentile for the mean time to complete one month's reviews. (a) Sketch the graph.(b) Give the 95th Percentile. (Round your answer to two decimal places.)
6.3.10 Question Help Three randomly selected households are surveyed. The numbers of people in the households are 2, 7, and 12. Assume that samples of size n 2 are randomly selected with replacement from the population of 2, 7, and 12. Construct a probability distribution table that describes the sampling distribution of the proportion of even numbers when samples of sizes n 2 are randomly selected. Does the mean of the sample proportions equal the proportion of even numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 2,2 2,7 2,12 7,2 7,7 7,12 12,2 12,7 12,12 Construct the probability distribution table. Sample Proportion Probability Type an integer or fraction.) Enter your answer in the edit fields and then click Check Answer. parts remaining Clear All Check Answer Activate Windows
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Lim works at a software company. He believe that the average staff age at these companies is more than 27. A random sample is collected: 41 18 25 36 26 35 24 30 28 19 22 22 26 23 24 31 22 22 23 26 27 26 29 28 23 19 18 18 24 24 24 25 24 23 20 21 21 21 21 32 23 21 20 a) Find mean, variance and standard deviation for the above sample. b) Find the confidence interval of the mean age of the staffs with 97% of confidence level.
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Suppose that the time it takes a student to complete an assignment is normally distributed with mean 60 and variance 100 then the 65th percentile of the average time it takes a random sample of 36 students to complete the assignment is closest to O a. 61. O b. 59. O c. 66. O d. 64. O e. 56.

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