A uniform distribution from 3.6 to 8.6 has a mean E[X] of ,O 6.10O 3.05O 12.20O 2.50

Ans:- Given, A uniform distribution from 3.6 to 8.6 Find the mean E(X) = ?

Answered: A uniform distribution from 3.6 to 8.6…

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 average amount of money spent for lunch per person in the college cafeteria is $7.14 and the standard deviation is $2.14. Suppose that 18 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. a. What is the distribution of X? X - N( 7.14 2.14 b. What is the distribution of ? N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.63 and $8.22. d. For the group of 18 patrons, find the probability that the average lunch cost is between $7.63 and $8.22. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes
A sample of observations is found to have a mean = 55 and s= 3.5 Compute the z-score relative to this sample for each of the following three scores Score Z-score 49.75 59.38 48.00
3.4.1 1. Suppose Z represents the standard normal random variable. If a value is selected at random from the standard normal distribution, find the probability that Z is: a. Less than 0 b. Between -2.35 and 1.65 c. Greater than 1.86 d. Greater than -2.15 and less than 1.67 e. Less than -1.92 or greater than 2.41
Refer to the accompanying table, which describes the number of adults in groups of five who reported sleepwalking. Find the mean and standard deviation for the numbers of sleepwalkers in groups of five
4.3 Assume that x is normally distributed. At a fixed operating setting, the pressure in a line downstream of a reciprocating compressor is known to maintain a mean value of 12.0 bar with a standard deviation of 1.0 bar based on its history. What is the probability that the line pressure will exceed 13.0 bar during any measurement? 4.4 Consider the toss of 4.
3. For the binomial distribution with the given values for n and p, state whether or not it is suitable to use the normal distribution as an approximation. n= 65 and p = 0.7 a. Normal approximation is not suitable. b. Normal approximation is suitable.
The chi-square statistic for these data is x = 8.134. Which of the following intervals contains the P- value for this test? Color preference Pink Blue Yellow Green Total Female 48 24 18 30 120 Gender Male 55 34 18 116 Total 103 58 27 48 236 0.025 0.1
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.
15.
The intelligence quotient (1.Q) of a large number of students is normally distributed with mean 100 and standard deviation 10. Suppose that students having an 1.Q of 119.6 or higher are considered "gifted". Let Y be the number of "gifted" students out of a random sample of 4 independent students, and F be the percent of failing courses in a program, where: F=1-Y? Compute the probability of having an 1.Q larger than 116.4 given that it is lower than 119.6 (Enter your answer to two decimal places. For "0.72", you would write 0.72). Do not round.
6.2
In one town, the number of burglaries in a week has a mean 28. Let X denote the number of burglaries in the town in a day. Find the standard deviation of X O a 5.2915 O b. 28 Od 2

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A uniform distribution from 3.6 to 8.6 has a mean E[X] of, O 6.10 O 3.05 O 12.20 O 2.50