The time until recharge for a battery in a laptop computer under common conditions is normally distributed with a mean of 260 minutes and a standard deviation of 50 minutes.a) What is the probability that a battery lasts more than four hours? \[ \boxed{0.6554} \] (Round the answer to 3 decimal places.)b) What are the quartiles (the 25% and 75% values) of battery life? 25% value = \[ \boxed{} \] minutes (Round the answer to the nearest integer.) 75% value = \[ \boxed{} \] minutes (Round the answer to the nearest integer.)c) What value of life in minutes is exceeded with 95% probability? \[ \boxed{} \] (Round the answer to the nearest integer.)A brief explanation of the questions:- Question (a) asks for the probability that the battery life exceeds 240 minutes (or 4 hours).- Question (b) involves finding the quartiles for the battery life distribution, which are the 25th and 75th percentiles.- Question (c) is about determining the threshold battery life that 95% of all measured times will exceed.

Answered: The time until recharge for a battery…

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

Assume the random variable X is normally distributed with mean 50 and standard deviation of 7. What is the 86th percentile?
The pregnancy length of new mothers in a population is 267 days with a standard deviation of 10 days. What is the minimum pregnancy length that can be in the top 10% of pregnancy lengths? Assume that it is normal distribution.
glucose levels in oatients free of diabetes are assumed to follow a normal distribution with a mean of 120 and a standard deviation of 16. What proportion of patients have glucose levels exceesing 115?
The lifetime of lightbulbs that are advertised to last for 4800 hours are normally distributed with a mean of 4950 hours and a standard deviation of 100 hours. What is the probability that a bulb lasts longer than the advertised figure? Probability =
Assume that the average time to run a marathon in the population is 278 minutes with a standard deviation of 63 minutes. Use this information to answer the question In the population, what raw running time is 2.5 standard deviations below the mean? What is the percentile of this time?
The life of a component is normally distributed with mean 800 days and standard deviation 100 days. What is the probability of the component still working after 1000 days?
Blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.5. Using chebyshev’s theorem what is the known percentage of women with platelet counts that are within 2 standard deviations of the mean?
The heights in inches of male National Basketball Association (NBA) players produce a distribution that is approximately normal with a mean of 79.1 and a standard deviation of 3.2 a) How tall is a male NBA player whose height is at the 90th percentile? b) How tall is a male NBA player whose height is at the bottom 2% of all players?
Q3 i) The average number of acres of land cultivated with food grains is normally distributed with mean 4,300 acres per year, and standard deviation of 750 acres. What is the probability that between 2,500 and 4,200 acres will be cultivated in any given year? What number of cultivated acres corresponds to the 38th percentile?
Assume a light bulb has a burn life that is normally distributed with a mean of 159 hours and a standard deviation of 16 hours. Suppose you sample 30 bulbs and calculate a sample average (Y) burn life. Find the probability that a give bulb in the sample has a burn life greater than 163 hours.
he average amount of time boys and girls spend playing sports each week is believed to be the same. A sample of equal size n is taken from boys and girls , the mean of the boys is 29 hours with standard deviation 4 hours and the mean of the girls is 27 hours with standard deviation 3 hours Both populations have a normal distribution. The calculated value is 1.2 n =
In pre-covid world, the grade for the Applied Statistics Final exam followed normal distribution with mean of 89 and standard deviation of 15. What is the value for which the probability of having grade less than that value is 0.25 (round to nearest integer)?

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