(b) The expression for the joint probability density function of the transformed random variables U = 7 X + Y and V = 2 X + 2Y on itssupport is:fu,v(u, v) = A u²³ (Cv+ D)EWhich values of the constants A, B, C, D, E are correct (in the same order as they appear here)?17, 0, 0, 1, 11/2, 1, 3.50, 1, 22, 1, 3.50, 1, -2none of these answers is correct.2, 4, 6, 8, 101/2, 1, 3.50, 1, -2 Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standarddeviation 20. The lecturer is teaching two classes, one of size 100 and the other one of size 36, and is about to give an exam toboth classes. We treat all students as being independent. Give your answers below in three decimal places.(a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a), where is thecumulative distribution function of a standard normal random variable. Find the value of a.

As per the Bartleby guildlines we have to solve first question and rest can be reposted as they are…

Answered: Let us suppose that a particular…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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a. Given x P(x) 1 3 4 5 0.15 0.24 0.3 0.31 Find (i) Mean (ii) Standard Deviation b) Probability of snowing during the month of February in nyc is 0.63. What is the probability that it will snow 3 of the next 7 days during the month of February in nyc ?
Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 10. The lecturer is teaching two classes, one of size 100 and the other one of size 36, and is about to give an exam to both classes. We treat all students as being independent. Give your answers below in three decimal places. (a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a), where is the cumulative distribution function of a standard normal random variable. Find the value of a. Answer: (b) The approximate probability that the average test score exceeds 65 in the class of size 36 is (3). Find the value of 3. Answer: (c) Which probability is larger? Select one: O None. They are equal. O That in the class of size 100. O That in the class of size 36.
Suppose that the average height of men in the United States is approximately normallydistributed with a mean of approximately 70 inches and a standard deviation ofapproximately 4 inches. (a) If you take a sample of 4 men, find Pr {68 ≤ Y̅ ≤ 73}, the probability that the sample mean Y̅ will be between 68 and 73 inches. (b) If you take a sample of 16 men, find Pr {68 ≤ Y̅ ≤ 73}, the probability that the sample mean Y̅ will be between 68 and 73 inches. (c) If you take a sample of n men where n > 16, which one of the following is true? (circle one of the three statements.)Pr{68 ≤ Y̅ ≤ 73} > the probability that you found in (b)Pr{68 ≤ Y̅ ≤ 73} = the probability that you found in (b)Pr{68 ≤ Y̅ ≤ 73} < the probability that you found in (b)
Researchers developed a "cat IQ test" and find that the population of cats in the United States has a mean score of u = 25 on this test with a standard deviation of g = 3. You decide to test a sample of n = 45 cats to do some research about whether some breeds are smarter. You collect your sample of n = 45 cats and find their mean cat IQ is M = 25.5. What is the probability of this sample? That is, what is p(M>25.5)?
For any problem where you use a preprogrammed TI function, you must write down which function you use (complete name, not just something like "normal" because there are multiple normal functions), what values you enter (in order), and what the calculator produces. Round all probabilities to at least four decimal places. According to an article in the Journal of Anatomy (May, 2013), the ratio of the length of a person's femur to the length of their tibia averages 1.23. Suppose this ratio is approximately normal with a mean of 1.23 and a standard deviation of sigma C. What proportion of people have a ratio between c1 and c2? e1 f1 3.564 6.1875 sigma 0.031 b1 1.25 c1 1.2187 c2 1.266 d1 90 beta 4.95 f2 14.058 g1 25.7 g2 70.9 h1 33.47 h2 58.06
Use the following information to answer A-C. The table below shows the probablity of a certain number of students having fatigue. (Out of 4 randomly selected students)/ x P(x) 0 0.10 1 0.20 2 0.35 3 0.30 4 0.05 A) What is the probability that more than 2 of 4 randomly selected students have fatigue? B) What is the mean (to the nearest 0.1) number of students with fatigue out of 4 randomly selected students? C) What is the standard deviation (to the nearest 0.1) of the number of students with fatigue out of 4 randomly selected students? [Show all work with a table or formula]
The third worksheet labeled sample B is a simple random sample with replacement, with seven observations in the sample, from some population. The index i in the first column is just an integer name for each observation. The specific values x in the second column are measures of a random variable X distributed in the population. Now suppose this random variable X is known to have a Normal distribution in the sampled population, BUT you do not know the population mean or the population standard deviation of that Normal distribution: Both must be estimated from the sample as you just did. Compute the lower bound of an 80% confidence interval for the population mean, using the appropriate sample estimates and techniques appropriate to the knowledge situation described above. i xi 1 74.2 2 72.79 3 70.35 4 74.37 5 73.34 6 78.96 7 77.99
25. Each of a random sample of 30 student nurses who participated in a research project was given a test designed to measure the degree of creative thinking. The standard deviation of the scores was 11. Can one conclude from these data that the population variance is less than 400? Let α = 0. 05 and assume that the population is normally distributed. (A) Yes (B) No

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