Given a normal distribution with µ= 101 and o = 10, and given you select a sample of n= 25, complete parts (a) through (d)......a. What is the probability that X is less than 95?P(X<95) = 0.0013(Type an integer or decimal rounded to four decimal places as needed.)b. What is the probability that X is between 95 and 96.5?P(95 < X< 96.5) = .0109(Type an integer or decimal rounded to four decimal places as needed.)c. What is the probability that X is above 102?P(X> 102) == .3085(Type an integer or decimal rounded to four decimal places as needed.)d. There is a 67% chance that X is above what value?X=(Type an integer or decimal rounded to two decimal places as needed.)

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Answered: Given a normal distribution with µ= 101…

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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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 9.3 ppm and standard deviation 1.6 ppm. 6 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. What is the probability that one randomly selected city's waterway will have more than 8.8 ppm pollutants? d. For the 6 cities, find the probability that the average amount of pollutants is more than 8.8 ppm. e. For part d), is the assumption that the distribution is normal necessary? O No Yes Question Help: Written Example Message instructor Submit Question Jump to Answer
For a normal distribution with a mean of µ=100 and a standard deviation of σ= 10, find each of the following probabilities or X. Please draw the normal curve and show region; body or tail. a. What X value (score) would separate the highest 10% of scores from the rest of the distribution? b. If we were to draw a sample of n = 36 from this population, what's the probability that the mean would be less than 101? c. If we were to draw a sample of n = 36 from this population, what's the probability that the mean will be greater than 105?
The amount of syrup that people put on their pancakes is normally distributed with mean 61 mL and standard deviation 8 mL. Suppose that 49 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 61 b. What is the distribution of ? N( 61 49 c. If a single randomly selected individual is observed, find the probability that this person consumes is between 60 mL and 61.3 mL. 0.0657 d. For the group of 49 pancake eaters, find the probability that the average amount of syrup is between 60 mL and 61.3 mL. | 0.4338 e. For part d), is the assumption that the distribution is normal necessary? YesO No o
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The amount of pollutants that are found in waterways near large cities is normally distributed with mean 8.5 ppm and standard deviation 1.4 ppm. 36 randomly selected large cities are studied. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? I - N( c. What is the probability that one randomly selected city's waterway will have more than 9.1 ppm pollutants? d. For the 36 cities, find the probability that the average amount of pollutants is more than 9.1 ppm. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes f. Find the IQR for the average of 36 cities. Q1 = ppm Q3 = ppm IQR: ppm
Given a normal distribution with u= 104 and o = 20, and given you select a sample of n= 16, complete parts (a) through (d) a. What is the probability that X is less than 942 E PX< 94) - (Type an integer or decimal rounded to four decimal places as needed)
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The amount of syrup that people put on their pancakes is normally distributed with mean 55 mL and standard deviation 10 mL. Suppose that 15 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? I - N( c. If a single randomly selected individual is observed, find the probability that this person consumes is between 57.7 mL and 61.3 mL. d. For the group of 15 pancake eaters, find the probability that the average amount of syrup is between 57.7 ml and 61.3 mL. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
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If we know that a normal distribution has a mean of H- 100 with o 20, and if one score is randomly selected from this distribution, what is the probability that the score will have a value between X 100 and X 130? 0,8664 0 0.4332 O 0.9332 G0.0668

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