A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down during the warranty period. Suppose an auto store makes a net profit of $20 on batteries that stay trouble-free during the warranty period it makes a net loss of $10 on batteries that break down. The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively. a. What is the probability that a battery will break down during the warranty period? (Round your answer to 4 decimal places.) Probability es b. What is the expected profit of the auto store on a battery? (Round your answer to 3 decimal places.) Expected profit < Prev 7 of 11 Next > WIH ype here to search Sock 6. OP R] enter H. K DAUSE 2N M alt ctri 00

A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down during the warranty period. Suppose an auto store makes a net profit of $20 on batteries that stay trouble-free during the warranty period it makes a net loss of $10 on batteries that break down. The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively. a. What is the probability that a battery will break down during the warranty period? (Round your answer to 4 decimal places.) Probability es b. What is the expected profit of the auto store on a battery? (Round your answer to 3 decimal places.) Expected profit < Prev 7 of 11 Next > WIH ype here to search Sock 6. OP R] enter H. K DAUSE 2N M alt ctri 00

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 incomes of math tutors in a tutoring center of a university are normally distributed with a mean of $1100 and a standard deviation of $150 what percentage of tutors earn less than $900 a month
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 30 scores from all of the students who took the test. She sees that the mean score is 169 with a standard deviation of 7.0674. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 13. Is there evidence that the standard deviation of test scores has decreased at the α=0.005 level? Assume the population is normally distributed. Step 4: Make a decision. Is it reject Null hypothesis or Fail to reject Null hypothesis? Step 5: What is the conclusion? Is there sufficient evidence or there is not sufficient evidence to show that the standard deviation of the test scores has decreased?
Ryan is throwing a football through a tire in his backyard. He has the probability of .30 of throwing the ball through the tire on each attempt, and each attempt is independent of the one before. Draw the graph of the PDF for the first five attempts. What does the graph tell you about the mean and standard deviation?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7 years, and standard deviation of 1.9 years.The 2% of items with the shortest lifespan will last less than how many years?
The time that a customer takes to complete a transaction in the business line at the bank follows a normal distribution with a mean of 5.4 minutes and a standard deviation of 1.7 minutes Above how many minutes will 20% of the customers spend in completing a transaction? O a. 6.115 O b. 0.4207 Ос. 0.84 O d. 6.828
3. Netflix: A study conducted in 2015 by the technology company Rovi (now TiVo) showed that the mean time spent per day browsing the video streaming service Netflix for something to watch was 19.3 minutes. Assume the standard deviation is o = 8. Suppose a simple random sample of 100 visits taken this year has a sample mean of 21.5 minutes. A social scientist is interested to know whether the mean time browsing Netflix has increased. Test the scientist's claim using a 0.05 significance level. 1. List the null and alternate hypothesis. 2. List the distribution (z or t) and all given variables used. 3. Find the critical value(s) using your calculator and label the picture. Draw a picture!!
The warranty on a car battery is 30 months. If the breakdown times of this battery are normally distributed with a mean of 40 months and a standard deviation of 8 months, determine the percent of batteries that can be expected to require repair or replacement under warranty. what % of batteries can be expected to require repair or replacement under warranty. (Round to two decimal places as needed.)
In a random sample of 6 cell phones, the mean full retail price was $502.30 and the standard deviation was $183.00. Further research suggests that the population mean is $434.59. Does the t-value for the original sample fall between to 95 and to 95? ASsume that the population of full retail prices for cell phones is normally Sol distributed. fall between -to.95 and to.95 because to.95 . The t-value of t (Round to two decimal places as needed.) Question tions left this cy enews on 11/24/ ter Q All Q Pend Answ ORejec Subjects ? Math Enter your answer in each of the answer boxes. wXP tv NOV 209國目 11 MacBook Pro DD DII F11 F10 F9 F8 F7 000 F6 F5 F4 F3 F2 F1
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 24 days and a standard deviation of 6 days. 80% of all trials of this type are completed within how many days?
A doctor is using a growth chart for baby girls that indicates a 12-month-old baby girl has a mean weight of 21.1 pounds with a standard deviation of about 2.29 pounds. Assume that the weights are approximately normally distributed. What proportion of 12-month-old baby girls weigh between 19.62 and 22.17 pounds?
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 36 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal.