The distance traveled to the workplace, J km traveled by employees in a large companyis normally distributed with J ~ N(30,8²).a) Find the probability that a selected employee travels to work which exceeds 20 km.b) Find the third quartile Q of the travel distance J.c) Find the first quartile Q of the travel distance J.d) An outlier value is defined as any value of J for which J k whereh =Q1-1.5(Q3 -Q1) from k = Q3+1.5(Q3 - Q1).i) Get the values of h and k.i) A worker is chosen at random, find the probability of his travel distanceto work is an outlier value.e) State the characteristics of the Normal distribution and explain each one with anexample/diagram.

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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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Find the probability of a and b)
At a college the scores on the chemistry final exam are approximately normally distributed, with a mean of 73 and a standard deviation of 11. The scores on the calculus final are also approximately normally distributed, with a mean of 78 and a standard deviation of 12. A student scored 79 on the chemistry final and 81 on the calculus final. Relative to the students in each respective class, in which subject did the student do better? a) Calculus b) There is no basis for comparison c) Chemistry d) The student did equally well in each course e) None of the above
Please draw bell shape diagram with shaded area for both a and b.
Let x be a random variable that represents the weight of a lion in a certain region of Africa. Assume that x is normally distributed with a mean = 260 lbs . With standard deviation =30 lb Please include the graphs for questions A and B
Assume that females have pulse rates that are normally distributed with a mean of μ=76.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete part a through c a) If 1 adult female is randomly selected. Find the probability that her pulse rate is less than 82 beats per minute (Round to four decimal places as needed) b) If 4 adult females are randomly selected, find the probability that they have a pulse rates with a mean less than 82 beats per minute (Round to four decimal places as needed) c) Why can the normal distribution be used in part (b) even though the sample size don't exceed 30?(options are the image below)
A Normal distribution has mean =28 and a standard deviation =5. A) find the z score corresponding to x =23. B) find the z score corresponding to x =39 C) find the raw score corresponding to z = -2 D) find the raw score corresponding to z = 1.7
Q22 -)) In an exam attended by 600 people, the average of the grades is 60 and the standard deviation is 10.2, showing a normal distribution. From this population, 50 samples of n=36 people were taken to the returned lottery. How many samples are there with an average of less than 65? a) 23 B) 14 C) 19 D) 30 E) 36
The ages of the winners of a cycling tournament are aproximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.5 years. The winner in one recent year was 34 years old. a) Gransform the age to a z-score b) Interpret the results c) Determne whether the age is unusual. ---------------------------------------------------------- a) transform the age to a z-score z=_____ type an integer or decimal rounded to two decimal places as needed
The mean score in the college entrance examination of 50 with a standard deviation of 12. If a sample of size 36 is taken,a) find the mean and standard deviation of the sample mean, x̄.b) what is the probability that x̄ is less than 48.5?c) what is the probability that x̄ is greater than 53?
The environmental protection agency rates the mean highway gas mileage of the 2013 Ford Edge to be 27 miles per gallon. Assume the standard deviation is 3 miles per gallon. Rental car company buys 60 of these car. a) commute the mean(ux) and the standard deviation (ox) of x. Round to 4 decimal places) b) what is the probability that the average mileage of the fleet is greater than 26.5 miles per gallon? (Make sure the normal curve with shaded area) c) what is the probability that the average mileage of the fleet is between 26 and 26.8 miles per gallon? (Make sure to draw the normal curve with the shaded area)
A set of n = 5 pairs of X and Y scores has SSX = 18, SSY = 8, ∑X=5, ∑Y=15, SSCP = 3. What is the Pearson Product Moment correlation for these scores? answers: a) 18/12 = 1.50 b) 18/144 = .125 c) 3/12 = .25 d) 3/144 = .21

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