Anna's expenses for entertainment during a period of time can be described with a normally distributedrandom variable with mean SEK 720 and standard deviation SEK 30. Bella´s expenses forentertainment during the same time period can be described with a normally distributed randomvariable with mean SEK 640 and standard deviation SEK 25.Consider the total expenses for Anna over 12 time periods and the total expenses for Bella over 13 timeperiods.a) Find the probability that Bella´s total expenses are greater than Anna´s total expenses.b) Find the probability the difference between their total expenses is at most SEK 300.

Introduction: Denote X1 as the entertainment expense for Person A in a single period of time, and X2…

Answered: Anna´s expenses for entertainment…

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 distribution of the lifetime of a car battery produced by a certain car company is well approximated by a normal distribution with a mean of 1900 hours and variance 104. What is the approximate probability that a batch of 100 car batteries will contain at least 20 whose lifetimes are less than 1801 hours?
Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review. Assume Χ is normally distributed. Let x¯x¯ be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews. What causes the probabilities in Exercise 7.3 and Exercise 7.4 to be different?
A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing cars are randomly selected, what is the probability that the sample mean would be greater than 101.5 gallons? Round your answer to four decimal places.
The taxi and takeoff time for commercial jets is a random variable x with a mean of 9 minutes and a standard deviation of 3.2 minutes. What is the probability that 33 jets on a given runway, total taxi and take off time will be less than 320 minutes? More than 275 minutes? Between 275 and 320 minutes
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 145 lb and a standard deviation of 27.5 lb. If 39 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 191lb.
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 148 lb and a standard deviation of 30.8 lb. If 34 different pilots are randomly selected, find the probability that their mean weight is between 140 lb and 191 lb.
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 150 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 159 lb and a standard deviation of 32.6 lb. If 34 different pilots are randomly selected find the probability that their mean weight is between 150 lb and 191 lb the probability is approximately
A particular fruit's weights are normally distributed, with a mean of 553 grams and a standard deviation of 27 grams. If you pick one fruit at random, what is the probability that it will weigh between 495 grams and 533 grams
A given age group's average height is 53 inches, with a standard variation of 4 inches. Determine the likelihood that a given individual's height will be less than 57 inches if the variable is normally distributed.
A food safety engineer has discovered that a food warmer has temperature problems. While they set up the temperature at 78c, it heats with the mean of 78c but a standard deviation of 2c. The problem is that any food that drops below 74c can create food poison for the consumers. What is the probability of having non-standard food from this food warmer? In other words, what proportion of food can be a health hazard? (Use the number only without any extra character or % sign)
1) The bicycle manufacturer imports chains from the company CHX. The average life of the chains is 1500 km and have a standard deviation of 433 km. CHX randomly selects 100 chains. What is the probability that the mean life of this 100 chains is less than 1431 km? 2) The company CRAN produces crankshafts for automobile engines. The average life of the crankshafts is 22980 km and the standard deviation is 365 km. The company CRAN has developed a new bearing coating and claims that the average life of the crankshaft has increased. Therefore, he randomly selects 36 crankshafts and carries out experiments. The average life of the tested crankshafts is 23108 km. Is there an evidence of α=0,05 that the life of the crankshaft has increased? 3) The company Wings produces shafts by using 7075 aluminum. The company claims that 96% of the produced shafts have no defects (non-defective). We randomly select 150 shafts. What is the probability that the randomly selected 150 shafts are 97-99 %…
A particular fruit's weights are normally distributed, with a mean of 539 grams and a standard deviation of 13 grams.If you pick 15 fruit at random, what is the probability that their mean weight will be between 549 grams and 550 grams

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