b)Universitihas conducted a survey to know theperception of the students towards online and distance learning. A mail questionnairewas distributed. The proportion of people who respond to a certain mail questionnaire isa continuous random variable X, which has the probability density function as follow;ii)i) Find the expected value of Xiii)=(x + 2)f(x) = 16'Calculate the variance of XFind V (2x - 2)0 < x < 4elsewhere

Answered: Image /qna-images/answer/ae71bdad-4ba3-436e-9ba8-7eaebed8d43e.jpg

Answered: b) Universiti has conducted a survey to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The manufacturer decides to take samples of 100 model Y phones from a number of different retail outlets that it has supplied. Let, P be the random variable of the distribution of sample proportions of model Y phones with a charge-time greater than 60 minutes for these samples of 100 model Y phones. e. Find the expected value and variance of P f. Find Pr(P > 0.05 |P < 0.15). Give your answer correct to four decimal places. Do not use a normal approximation
If the coordinates of point A (x, y) are two random variables with a normal distribution with zero mean(average) variance 4, it is desirable to calculate the probability that the distance of this point from the origin of the coordinates is less than 1.
Let X1,X2,.,X, be a random sample from f(x;8) = 0e-8xIq0,c0) (x). Find a 100y or (1 - a)100 percent confidence interval for the mean of the population.
Carboxyhemoglobin is formed when hemoglobin is exposed to carbon monoxide. Heavy smokers tend to have a high percentage of carboxyhemoglobin in their blood.† Let x be a random variable representing percentage of carboxyhemoglobin in the blood. For a person who is a regular heavy smoker, x has a distribution that is approximately normal. A random sample of n = 12 blood tests given to a heavy smoker gave the following results (percent carboxyhemoglobin in the blood). Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value a small amount and thereby produce a slightly more "conservative" answer. 9.3 9.6 10.3 9.8 11.3 12.2 11.6 10.3 8.9 9.7 13.4 9.9 (a) Use your calculator to calculate x and s. (Round your answers to two decimal places.) x = s = (b) A long-term population mean μ = 10% is considered a health risk. However, a long-term population…
4. The battery life of a fully charge iPhone 13 Pro on a standby follows a normally distributed with mean 7 hour and variance o² fl = 1 hours. = (a) Write out the integral form of the probability that a fully-charged iPhone 13 Pro last between 7 and 9 hours on standby. then use the pnorm function in R to find this probability. (b) What is the probability that a fully-charged iPhone 13 Pro last less than 5 hours? (c) What is the probability that a fully-charged iPhone 13 Pro last more than 9 hours? (d) What is the minimum time a fully-charged iPhone 13 Pro need to last in order to be in the top 10% best quality?
suppose the random variable X has a normal distribution with a mean of 10 and a variance of 256 calculate the following: P(12 < x < 20 ) USE DECIMAL VALUES AND ROUND OFF FINAL ANSWER TO TWO DECIMAL PLACES!
It is known that a certain lacrosse goalie will successfully make a save 91.83 percent of the time. Suppose that lacrosse goalie attempts to make 11 saves. A) What is the probability that the lactose goalie makes 8 saves B) Let x be the random variable which denotes the number of saves that are made by the lacrosse goalie. Find the expected value and standard deviation of the random variable. E(X)= O=
The weight of a male bald eagle has approximately a normal distribution with mean ?= 7.4 pounds and a standard deviation of ?= 1.6 pounds. Suppose we take a random sample of n=64 male bald eagles. Let X̄ be the random variable representing the mean weight in pounds of the 64 sampled male bald eagles. Let Xtot be the random variable representing sum of the weights of the 84 sampled bald eagles. a) About what proportion of male bald eagles have weights between 7.0 and 7.8 pounds? b) About what proportion of male bald eagles have weights greater than 7.8 pounds? c) About how many of the 64 sampled male bald eagles would you expect to have weight greater than 7.8 pounds? (nearest integer)? d) About how many of the 64 sampled male bald eagles would you expect to have weight between 7.0 and 7.8 pounds? (nearest integer)? e) What is the standard deviation of the distribution of X̄ (in pounds)? f) What is the standard deviation of the distribution of Xtot (in pounds)? g) What is the…
Q4 For the tornado events in a certain region, the tornado-induced wind speed can be modeled by a lognormal random variable with a mean value of ux = 120 mph and a standard deviation of ox = 12 mph. a) Calculate the probability that the wind speed will be between 100 mph and 130 mph in a tornado event. b) If a structure located in this region is designed to resist for wind speed of 150 mph, what is the probability that the structure will be damaged during such a tornado?

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS