QUESTION:An airfreight company has Various classes of freight. In one of these classes the average weight ofpackages is 10kg and the variance of the weight distribution is 9kg?. Assuming that the packageweights are independent (it is not the case that a single company is sending a large number of identicalpackages, for instance), estimate the probability that 100 packages will have total weight more than1020kg.

Answered: Image /qna-images/answer/fe893620-4502-4717-a2e6-b7f26d0d2816.jpg

Answered: QUESTION: An airfreight company has…

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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Are people born in certain seasons more likely to be allergic to dust mites? Research suggests this might be true. The table below gives the birth seasons of 500 randomly selected people who are allergic to dust mites, along with the proportion of births in the general population for each season. Do these data provide convincing evidence that the distribution of birth season is different for people who suffer from this allergy? Number of allergy sufferers Proportion of births in general population Birth Season Winter 117 0.30 Spring 105 0.22 Summer 145 0.24 Fall 133 0.24
A geologist is making guesses about the mean length of fossil teeth of a certain species found in a location. According to her judgment, the probability is 0.25 that their mean will be higher than 17.8 cm, and the probability is 0.15 that they will be higher than 19.2 cm. If the geologist’s uncertainty about the length of the teeth can be represented by a normal distribution, what are the mean and variance of that distribution?
I. 6) Suppose that you score 79 on Exam 3. If the average score is 85, and the variance is 23.04, your z-score is: a) 0.26 b) -0.26 c) 1.25 d) -1.25 e) -2.05
2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 2
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5. Dust mite allergies. Refer to Exercises 4.2 (p. 138) and 4.13 (p. 143). Each home with a dust mite level that ex- ceeds 2µg/g will spend $2,000 for an allergen air purifica- tion system. Find the mean and variance of the total amount spent by the four sampled homes. Give a range where this total is likely to fall.
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2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 2
Suppose that we have disjoint normal populations A and B with equal but unknown population variances. Suppose we plan a sample of size 12 from from population A and a sample of size 6 from population B which we will pool to form the pooled variance. If the sample variance for the sample from population A is 25 and the sample variance for the sample from population B is 36, then what is the pooled sample variance?

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