A sample of 20 specimens of soil was tested under shear, and water absorption tests.8 of them failed in shear test, while 4 was failed in water absorption test and 2 failedin both. Find the following probabilities if a random sample is selected?1-Failed in one of them at least?2-Failed in one of them at most?3-If it is failed in shear to be failed in absorption?4-1f it is good in absorption to be bad in shear?

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Answered: A sample of 20 specimens of soil was…

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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Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 15 17 17 20 15 12 13 16 15 12 State the null and alternate hypotheses. H0: ? = 14; H1: ? < 14 H0: ? > 14; H1: ? = 14 H0: ? < 14; H1: ? = 14 H0: ? = 14; H1: ? ≠ 14 H0: ? = 14; H1: ? > 14 What is the value of the sample test statistic? (Round your answer to three decimal places.)
A sample of n=900 observations is drawn from a population that is normally distributed with mean µ=1,000 and o=300. Find the following probabilities. P(X 2 1025) is: .0567 .4356 .0023 .0062 O O O O
1.If the cosmic radiation to which a person is exposed while flying by jet across US is a random variable having mean 4.35 mrem and standard deviation 0.59 mrem,find the probabilities that the amount of cosmic radiation to which a person will be exposed on such a flight is (a)Between 4.00 and 5.00 mrem (b)At least 5.50 mrem (c)Less than 4.00 mrem
3.3
If your null and alternative hypothesis are:�0:�=0.77�1:�≠0.77Then the test is: left tailed right tailed two tailed
Q13
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Over a period of time has been observed that a given archer can hit a target on a single trial with probability equal to 0.8. Suppose the archer fires four arrows at the target. Using a Ti-84 calculator the following probabilities are calculated. Interpret what these calculations mean ( referencing the above information). 1. Binompdf (4, 0.8,2)= 0.1536 2. 1-binompdf (4, 0.8, 1)= 0.9728 These are functions in the calculator for binomial distribution. To locate on a Ti-84 calculator, press the 2nd button, then catalog ( the zero button), then press apps button and select either binompdf (or binompdf.
How were the answers of 0.0344, 0.4656, 0.1470, and 0.1470 attained?
a) Turkey is the most tea-loving country in the world. In 2014, the annual per capita consumption of tea in Turkey, denoted X, was normally distributed with a mean of 6:96 lb and a standard deviation of 2:36 lb. b)You pick a random sample of 5 people from Turkey (assume all of them are tea drinkers) and compute their mean per capita tea consumption to be only 3:98 lb. (i) What is the probability that her random sample has an average of 3:98 lb or lower, when the population average is as given above? (ii)Recall that a large sample size makes it unlikely thatthe sample mean is too far away from the population mean. How big a samsle should you have to draw so that the standard deviation of your sample average is less than 10% of its mean (i.e., less than 0.696 lb)?
c. Tests from a laboratory show that 20% of rats have a deadly disease that can be transmitted via contact with their faeces. The Ministry of Health sought to verify this claim by testing some of the rats. (i) What is the probability that they will have to test at most 2 rats to find the first case of the disease? (ii) What is the standard deviation of tests before the first rat with the disease is found?
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