State, with reasons, which of the standard distributions might serve as models for:i. The number of particles emitted in 10 second intervals by a sample of radioactive material.ii. The number of times individuals take their driving test before passing.Indicate which conditions supporting the distribution may not be satisfied in each case.

The objective of the question is to identify the appropriate statistical distribution models for two…

Answered: State, with reasons, which of the…

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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Assume that human body temperatures are normally distributed with a mean of 98.6° and a standard deviation 0.61°. Subjects selected to participate in a certain medical study are required to have body temperatures betweem 97° and 100°. What percentage of potential study participants will be rejected based on this criterion? O 1.07% O 0.95% O 1.11% O 1.23% O 1.51%
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Q.3. Floods in a stream have the mean 600 m³/s and the standard deviation 400 m³/s. Please answer the following questions assuming normal distribution. What is the probability that the flood flow any year exce eds 700 m/s? What is the 100-year flood discharge? a) b)
2. Let x be a random variable that represents the concentration of iron in water. The EPA specifies that x has a normal distribution with o = 0.7. The company claims that the iron concentration population mean is u = 2.0 downstream from the plant. But 10 samples taken downstream from an industrial plant show an X = 2.48.
I. The random variable X is best described by a normal distribution with u = 30 and σ = 6. Find the z-score that corresponds to the following X values: 1. x = 21 2. x = 2.65 3. x= 35 4. x = 42 5. x = 50
3. Assuming that the samples come from normal distributions, find the margin of error E given the following: a. n= 10 and X = 28 withs=4.0, 90% confidence %3D b. n= 16 and X = 50 withs= 4.2, 95% confidence %3D n= 20 and X = 68.2 with s = 2.5, 90% confidence С. d. n= 23 and X = 80.6 with s = 3.2, 95% confidence %3D %3D n = 25 and X = 92.8 with s = 2.6, 99% confidence e. %3D %3D
A variable of a population has a mean of u = 83 and a standard deviation of o = 24. a. Identify the sampling distribution of the sample mean for samples of size 36. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 36? Why or why not? a. What is the shape of the sampling distribution? normal bimodal uniform skewed What is the mean of the sampling distribution? H = (Simplify your answer.)
explains the process :)
1. A random variable, X, follows a hypergeometric distribution with N=50, a=10 and n=6. Which of the following is NOT a possible value for X? A. 0 A. 25% 2. A random variable, X, has a mean of 100 and variance of 64. Which of the following is not a possible value for P(84 8) C. 6 A. binomial 3. It is known that the number of misprints on a textbook page follows a Poisson distribution with a mean of 0.004. Which of the following is the standard deviation of the number of misprints on a textbook of 475 pages? B. 0.063 C. 85% D. 10 C. 1.9 D. 95% 4. X is a discrete random variable, which of the following quantities is the same as P(X2 8)? B. 1-P(X 8) 5. Which of the following random variables could have a variance greater than its mean? C. geometric B. hyper-geometric D. 1.378 D. 1- P(X≤8) D. Poisson
Consider independent simple random samples that are taken to test the difference between the means of two populations. The variances of the populations are unknown but are assumed to be equal. The sample sizes of each population are n1 = 37 and n2 = 45. The appropriate distribution to use is the ________. A) t-distribution with df = 82 B) t-distribution with df = 81 C) t-distribution with df = 41 D) t-distribution with df = 80
Solve. Given independent random variables with means and standard deviations as shown, find the mean and standard deviation of the random variable X + Y. Round to two decimal places if necessary. Mean SD 41 8 Y 41 12 O A. µ= 82 and o = 14.422 O B. u = 82 and o = 9 O C. µ= 41 and o = 10 O D. µ=41 and o = 14,422 O E. µ= 82 and o = 20 Click to select your answer. MacBook Air FIO 20 F3 F7 esc 000 F4 FS
3. A sample of 20 items from a population with an unknown o is selected in order to develop an interval estimate of u. Which of the following is not necessary? A. We must assume the population has a normal distribution. B. We must use t distribution. C. Sample standard deviation must be used to estimate the population standard deviation. D The sample must have a normal distribution.

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