3.38 Davis and Lawrance (1989) present time-to-failure data for 171 automobiletires. Baltazar-Aban and Pena (1995) modeled these data with an exponentialdistribution with a failure rate of 0.004 tire per hour.a. Find the probability that a randomly selected tire fails during the first100 hours of testing.b. Find the probability that a randomly selected tire fails between 50 and150 hours of testing.c. Find the probability that a randomly selected tire survives more than200 hours.d. Find the expected time to failure for a randomly selected tire.e. Find the variance and the standard deviation for the time to failure for arandomly selected tire.

The exponential distribution is often used to model the time to an event, such as failure in a…

Answered: 3.38 Davis and Lawrance (1989) present…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The price to earnings ratio (P/E) is an important tool in financial work. A random sample of 14 large U.S. banks (J. P. Morgan, Bank of America, and others) gave the following P/E ratios.† 24 16 22 14 12 13 17 22 15 19 23 13 11 18 The sample mean is x ≈ 17.1. Generally speaking, a low P/E ratio indicates a "value" or bargain stock. Suppose a recent copy of a magazine indicated that the P/E ratio of a certain stock index is μ = 19. Let x be a random variable representing the P/E ratio of all large U.S. bank stocks. We assume that x has a normal distribution and σ = 4.6. Do these data indicate that the P/E ratio of all U.S. bank stocks is less than 19? Use α = 0.01. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Among those who are 21 years of age, those who have been driving less than 5 years had 10,000 new car accidents in 1 year, while those who had been driving for more than 5 years had 20,000 new car accidents during the same time period. It was concluded from these data that 21-year-olds with more driving experience have increased risk of accidents compared to those who started driving later. This conclusion is: a. Correct b. Incorrect because rates are not reported c. Incorrect because prevalence estimates are given when incidence rates should be reported d. Incorrect because there is no comparison group
Given a normal population whose mean is 580 and whose standard deviation is 37, find each of the following: A. The probability that a random sample of 5 has a mean between 583 and 593.Probability = B. The probability that a random sample of 17 has a mean between 583 and 593.Probability = C. The probability that a random sample of 28 has a mean between 583 and 593.Probability =
An employment information service claims the mean annual salary for senior level product engineers is $97,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a = 0.05, test the claim that the mean salary is $97,000. Complete parts (a) through (e) below. Assume the population is normally distributed (a) Identify the claim and state Ho and Ha Ho Ha (Type integers or decimals. Do not round.) ▼ hypothesis. The claim is the LIGH Annual Salaries 100,717 82,433 96,266 93,467 112,821 0 74,231 76,945 80,898 76,148 104,098 103,928 102,409 91,022 82,037 85,121 110,335 111
A researcher measures the relationship between hours worked by employed students and the number of units taken during the first semester of college for each individual in a group of 25 community college students. For this study: a. If we calculate the average hours worked by these community college students, the average would be an example of a ________ statistic b. Is a sample or population being measured here? c. What kind of a research study is this? d. N/n = e. What level of measurement is the number of units taken? Step 2 – check your work! Was your answer correct? If not, please make any correction here: Step 3 - if your answer was incorrect, please write out what was wrong (skip this if you were correct) show working for each
17).
PLS. Solve Quickly Applications Problems According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an average of $3173 debt on their credit cards (USA TODAY, April 13, 2009). Suppose that cur- rent credit card debts for all college students have a normal distribution with a mean of $3173 and a standard deviation of $800. Find the probability that credit card debt for a randomly se- lected college student is between $2109 and $3605.
Suppose Michigan is favored by 17.5 points over Indiana. If you bet a “unit” on Indiana and Indiana loses by 17 or less, you win $10. If Indiana loses by 18 or more points, you lose $11. Note: Both Michigan and Indiana are NCAA Basketball teams. 1)Find the mean and standard deviation of your winnings on a single bet. Assume that there is a 0.5 probability that you will win your bet and a 0.5 probability that you will lose your bet.
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