2. Consider a Uniform Distribution U(10, 110) D. A classmate of yours claims that those answers should be the same since if [25 < x < 85] then [x < 85} so the condition on the conditional probability is satisfied. Explain why are those answers different and the faulty logic the classmate used. (And yes I've heard this argument before) E. Find the Mean and Standard Deviation of this distribution (round to the nearest thousandth) F. Find all values within 2 Standard Deviations of this Distribution from the Expected Value. Does this Distribution have any predicted outliers from this

2. Consider a Uniform Distribution U(10, 110) D. A classmate of yours claims that those answers should be the same since if [25 < x < 85] then [x < 85} so the condition on the conditional probability is satisfied. Explain why are those answers different and the faulty logic the classmate used. (And yes I've heard this argument before) E. Find the Mean and Standard Deviation of this distribution (round to the nearest thousandth) F. Find all values within 2 Standard Deviations of this Distribution from the Expected Value. Does this Distribution have any predicted outliers from this

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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Suppose the scores of students on an exam are normally distributed with a mean of 165 and a standard deviation of 12. Then approximately 95% of the exam scores lie between the integers and such that the mean is halfway between these two integers. Hint: Use the 68 - 95 - 99.7 rule. For your answer, list the smaller number first.
Claim: The mean pulse rate (in beats per minute) of adult males is equal to 69.2 bpm. For a random sample of 164 adult males, the mean pulse rate is 68.8 bpm and the standard deviation is 10.5 bpm.Complete parts (a) and (b) below. a. Express the original claim in symbolic form. bpm (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. Ho: bpm H,: (Type integers or decimals. Do not round.) bpm
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 ?
Suppose that a college determines the following distribution for X=number of courses taken by a full-time student this semester: Value of X: 3 4 5 6 Probability 0.05. 0.25 0.27 a) The probability for X=4 is missing, What is it? b) What is the average number of courses full-time students at this college take this semester? c) What is the standard deviation of the number of courses full-time students at this college take this semester. d) What is P(X>4.7)
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?
Claim: The mean pulse rate (in beats per minute) of adult males is equal to 68.6 bpm. For a random sample of 163 adult males, the mean pulse rate is 68.1 bpm and the standard deviation is 11.3 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. V bpm (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. Họ: V bpm H1: bpm (Type integers or decimals. Do not round.)
Q4. Researchers developed a "dog IQ test" and find that the population of dogs in the United States has a mean score of µ = 20 on this test with a standard deviation of σ = 2. You decide to test a sample of n = 40 dogs to do some research about whether some breeds are smarter. You decide to first test your own dog (or your closest friend's or family member's, if you don't have one). What is the probability that your dog will score an "dog IQ" greater than 25 (which is the cut-off for "Doggie Genius")?
he population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of n=65, find the probability of a sample mean being greater than 217 if μ=216 and σ=3.5. For a sample of n=65, the probability of a sample mean being greater than 217 if μ=216 and σ=3.5 is nothing. (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean ▼ would not would be considered unusual because it ▼ does not lie lies within the range of a usual event, namely within ▼ 1 standard deviation 2 standard deviations 3 standard deviations of the mean of the sample means.
Solve #22 using applications of normal distribution
Claim: The mean pulse rate (in beats per minute) of adult males is equal to 68.8 bpm. For a random sample of 162 adult males, the mean pulse rate is 68.4 bpm and the standard deviation is 11.5 bpm. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. bpm (Type an integer or a decimal. Do not round.) b. Identify the null and alternative hypotheses. Họ: bpm H1: (Type integers or decimals. Do not round.) bpm