Let us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 13. The lecturer is teaching twoclasses, 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 answersbelow 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 standardnormal random variable. Find the value of a. (b) The approximate probability that the average test score exceeds 65 in the class of size 36 is (ß). Find the value of ß.

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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Kindly solve the following problems correctly and show your complete solution. write it on the paper and do not type.
Please only answer 3.19
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.
4. Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3.9 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. The mean of this distribution is ? The standard deviation is ? The probability that fawn will weigh exactly 3.1 kg is P(x = 3.1) = ? The probability that a newborn fawn will be weigh between 2.8 and 3.8 is P(2.8 < x < 3.8) = ? The probability that a newborn fawn will be weigh more than 3.02 is P(x > 3.02) = ? P(x > 2.5 | x < 3.4) = ? Find the 79th percentile?
pls solve parts d and e
Suppose that we know that scores on a nationally administered statistics examination have a population mean u = 70 and population standard deviation o= 10. Answer each of the following A random sample of 64 mdividuals is taken What is the probability that the sample mean is below 697 A random sample of 100 individuals is taken What is the probability that the sample mean is below 69? A random sample of 400 individuals is taken What is the probability that the sample mean is below 69?
I need the answer as soon as possible
Please solve (a) & (b) only! Thanks.
A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, μ, on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate μ. What is the minimum sample size needed in order for you to be 90% confident that your estimate is within 3 of μ? Use the value 23 for the population standard deviation of scores on this subsection. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
3a) The mean IQ of 200 patients in a psychiatric hospital is 91, with a variance of 16, and the distribution is highly negatively skewed. Between what two IQ scores would we expect to find at least 160 of the patients falling? b) If the distribution was mound-shaped and symmetrical, with the same mean and standard deviation as in part A, approximately how many patients would have IQ scores at or below the 5th percentile or above a score of 97? Answers: a) 82 to 100 b) 28.5 or 29
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
Suppose that the weights of people who work in an office building are normally distributed with a mean of u = 165 Ib. and a standard deviation of o = 25 lb. What is the chance that the total weight of 5 people is more than 1000 Ibs., i.e., what is P(X1+ ... + X5 > 1000)? [Hint: try to express this as an X-style problem.

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