5. A norm al distribution has a mean of 26 and a standard deviation of 4. What is theprobability that a particular x will fall within the following intervals?Draw a complete sketch of the corresponding normal curve to represent each ofthe following:a) P( x< 25)23 -2-11 2 3b) P(x> 24):321.3. c) P( 26 < x< 30)23 -2 -1 0 12

Answered: Image /qna-images/answer/042077cc-2640-4561-9af6-088b95bd530a.jpg

Answered: 5. A norm al distribution has a mean of…

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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1. Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Enter a number. Round your answer to four decimal places.) u = 22; o = 3.6 P(x≥30) = ______
III. A set of data has a normal distribution with a mean of 5.1 and a standard deviation of 0.9. 1. Complete the following normal curve with the appropriate x-values and z-scores. 2. Determine the probability of the following. a. P(x 5.8)* c. P(4.3 < x < 5.3)*
5. The daily quantity of coffee, in litres, served by a machine located in an airport lobby is a random variable X that has a uniform continuous distribution with a=4 and b=10. Find the probability that on a given day the amount of coffee served by this machine is greater than or equal to 8.7 liters. Answer: Determine the standard deviation of the daily amount of beverage (in liters) served by the machine. Answer: Note: Answer with at least 4 decimal places
': Consider a puzzle is created where the amount of time it takes an individual to solve the puzzle follows a normal distribution with a standard deviation of 2 minutes. a) If a sample of 13 individuals was collected, what is the probability the sample mean time required to solve the puzzle would be within 1.2 minutes of the population mean? b) What would the required sample size be if we wanted the sample mean to be within half a minute of the population mean with a probability of .9?
6. Find z such that 85.3% of the standard normal curve lies to the left of z.
1 a.Find the positive z value such that 93% of the standard normal curve lies between –z and z. (Use 2 decimal places.) b.Assume that IQ scores are normally distributed, with a standard deviation of 15 points and a mean of 100 points. If 55 people are chosen at random, what is the probability that the sample mean of IQ scores will not differ from the population mean by more than 2 points? (use 3 decimal places) c.Assume the heights of men are normally distributed, with mean 68 inches and standard deviation 5 inches. If a random sample of twenty men is selected, what is the probability that the mean height is between 67 and 69 inches? (Use 3 decimal places.)
38)
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with mean of 18 days and a standard deviation of 6 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. If one of the trials is randomly chosen, find the probability that it lasted at least 17 days. c. If one of the trials is randomly chosen, find the probability that it lasted between 17 and 23 days. d. 82% of all of these types of trials are completed within how many days? (Please enter a whole number)
A. A market researcher analyzes how many electronics devices customers buy in a single purchase. The distribution has a mean of three with a standard deviation of 0.7. She samples 400 customers. What is the z-score for Σx = 1,172? (Enter an exact number as an integer, fraction, or decimal.) B. An unknown distribution has a mean of 100, a standard deviation of 100, and a sample size of 100. Let X = one object of interest. What is the mean of ΣX? (Enter an exact number as an integer, fraction, or decimal.)
The following table lists the mean and standard deviation of several different normal distributions. For each, a sample of 20 individuals was taken, as well as a sample of 50 individuals. For each sample, calculate the probability that the mean of the sample was less than the given value Y.

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5. A norm al distribution has a mean of 26 and a standard deviation ốf 4. What Is the probability that a particular x will fall within the following intervals? Draw a complete sketch of the corresponding normal curve to represent each of the following: a) P( x< 25) 23 -1 1 2 3 b) P(x> 24) 33