The shelf life, in days, for bottles of a certain prescribed medicine is a random variablehaving the density function shown below. Find the probability that a bottle of thismedicine will have a shelf life of (a) at least 50 days; (b) anywhere from 30 to 80 days.f(x):=5,000(x+50)³3, X>0elsewhere

Probability density function of X isf(x)=5000(x+50)3 , x>0

Answered: The shelf life, in days, for bottles 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

See similar textbooks

Similar questions

Suppose that the length X of the life (in years) of a battery for a computer has a distribution that can be described by the pdf: f(x) = e 121 Determine the probability that the battery fails before the one year warranty expires on the computer. e one
Given the probability density function f(x)=14f(x)=14 over the interval [2,6][2,6], find the expected value, the mean, the variance and the standard deviation.Expected value: Mean: Variance: Standard Deviation:
If a dealer's profit, in units of $3000, on a new automobile can be looked upon as a random variable X having the density function below, find the average profit per automobile. f(x) = 1 (7-x), 0
Given the probability density function f(x)=15f(x)=15 over the interval [3,8][3,8], find the expected value, the mean, the variance and the standard deviation.Expected value: Mean: Variance: Standard Deviation
The repair time (in hours) for a certain machine is a random variable with probability density function (xe S(x) = What is the probability that the repair time is less than 2 hours? b. a. What is the probability that the repair time is between 1.5 and 3 hours? Find the mean repair time. d. C. Find the cumulative distribution function of the repair times.
Given the probability density function f(x)=13f(x)=13 over the interval [4,7][4,7], find the expected value, the mean, the variance and the standard deviation.Expected value: Mean: Variance: Standard Deviation:
If a continuous RVX (> 0) possesses memoryless property, that is P(X>x+h)= P(X>x). P(X > h), then X follows an exponential distribution.
Given the probability density function f(x)=14f(x)=14 over the interval [3,7][3,7], find the expected value, the mean, the variance and the standard deviation.Expected value: Mean: Variance: Standard Deviation:
Suppose the weight of pieces of passenger luggage for domestic airline flights follows a normal distribution with u = 26 pounds and o = 6.9 pounds. (a) Calculate the probability that a piece of luggage weighs less than 31.4 pounds. (Assume that the minimum weight for a piece of luggage is 0 pounds.) X (b) Calculate the weight where the probability density function for the weight of passenger luggage is increasing most rapidly. Xlb (c) Use the Empirical Rule to estimate the percentage of bags that weigh more than 12.2 pounds. X % (d) Use the Empirical Rule to estimate the percentage of bags that weigh between 19.1 and 39.8. X % (e) According to the Empirical Rule, about 84% of bags weigh less than X pounds. Enter an exact number.
If W denotes the weight (in pounds) of an individual and t denotes time (in weeks), then dW/dt is the rate of weight gain or loss (in lb/wk). Suppose that a person weighed 220 pounds 10 weeks ago, and now weighs 198 pounds. Using the Mean Value Theorem, show that their rate of rate loss must have exceeded 2 lb/wk at some point during this 10 week period.
A lamp has two light bulbs with an average lifespan of 1400 hours. Assuming we can model the probability of failure of these bulbs by an exponential density function with mean = 1400, find the probability that both of the lamp's bulbs fail within 800 hours.
For a particular kind of battery, the probability density function for x hours to be the life of a battery selected at random is given by -x/60 x > 0 f(x) = - 60 0, x < 0 Find the probability that the life of a battery selected at random will be between 15 and 25 hours.

SEE MORE QUESTIONS

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