Assume the lifetime of a computer chip produced by a certain manufacturer is normally distributed with parameters μ=1.5 x 10^6 hours and σ=9 x 10^5 hours. Further assume the lifetime of each chip is independent of all other chips produced. Different ProblemDifferent Problem: What is the approximateapproximateprobability that a batch of 100 chips will contain at least 65 whose lifetimes are less than 1.9 x 10^6 hours? Expression your probability to three decimal places. Hint: The derivation of your answer should rely on Normal distributions, Binomial distributions, and the Normal distribution's ability to approximate a Binomial!

Assume the lifetime of a computer chip produced by a certain manufacturer is normally distributed with parameters μ=1.5 x 10^6 hours and σ=9 x 10^5 hours. Further assume the lifetime of each chip is independent of all other chips produced. Different ProblemDifferent Problem: What is the approximateapproximateprobability that a batch of 100 chips will contain at least 65 whose lifetimes are less than 1.9 x 10^6 hours? Expression your probability to three decimal places. Hint: The derivation of your answer should rely on Normal distributions, Binomial distributions, and the Normal distribution's ability to approximate a Binomial!

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin (CBG) of patients during treatment. With age = x and ACBG = y, summary values are n = 26, Ex; = 1620, 2(x₁ - x)² = 3756.96, y₁ = 281.9, (y₁ - y)² = 465.34, and Ex,y; = 16,733. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test Ho: p = -0.5 versus H₂: P < -0.5 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = State the conclusion in the problem context. O Reject Ho. There is no evidence that p < -0.5. O Fail to reject Ho. There is evidence that p < -0.5. O Reject Ho. There is evidence that p < -0.5. O Fail to reject Ho. There is no evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change of cortisol-binding globulin level could be explained by…
X X zy Section 5.4- QNT/275T: Statistics x + 598163/chapter/5/section/4 for Decision Making home > nce between two population means 4.1: Hypothesis test for the difference between two population means. Jump to level 1 A clinical researcher performs a clinical trial on 14 patients to determine whether a drug treatment has an effect on serum glucose. The sample mean glucose of the patients before and after the treatment are summarized in the following table. The sample standard deviation of the differences was 8. Before treatment What is the test statistic? Ex: 0.123 Check What type of hypothesis test should be performed? Select Select Left-tailed z-test Paired t-test Two-tailed z-test Unpaired t-test Next After treatment 75 Sample mean glucose (mg/dL) What is the number of degrees of freedom? Ex: 25 Does sufficient evidence exist to support the claim that the drug treatment has an effect on serum glucose at the a = 0.05 significance level? Select 81 MESA 81101 2 hp 3 I
(2) Sdr= 1 x=. V1-x2
3. Solve for B. The accompanying data are from a football league for one season. Use the regression tool to develop a model for predicting points/game as a function of yards/game. Explain the statistical significance of the model and the r^2 value. Solve for B Develop a mod for predicting points/game as a function of yards/game. Points/game= -20.892 + (.131) x yards/game. To Explain the statistical significance of the model first state the appropriate null and alternative hypotheses. H0 : H1: SEE PICTURE
The best predicted vLue of y when x =8
Consider the following population model for household consumption: cons = a + b1 * inc+ b2 * educ+ b3 * hhsize + u where cons is consumption, inc is income, educ is the education level of household head, hhsize is the size of a household. Suppose a researcher estimates the model and gets the predicted value, cons_hat, and then runs a regression of cons_hat on educ, inc, and hhsize. Which of the following choice is correct and please explain why. A) be certain that R^2 = 1 B) be certain that R^2 = 0 C) be certain that R^2 is less than 1 but greater than 0. D) not be certain
In a snow geese feeding trial, a model was constructed relating gosling** weight change (Y), to digestion efficiency (X1) which is measured on a scale from 1 to 10, depending on how well nutrition is absorbed by the goosling, and diet (either plants or duck chow). Using Bi, etc. to represent the coefficients of independent variables, and defining any independent variables you create and use, write out the following: [WRITE OUT THE FULL MODELS IN SINGLE EQUATIONS IN EACH SECTION BELOW, NOT BROKEN DOWN INTO SEPARATE SUB-EQUATIONS] Define your independent variables here a) a first order model that allows for different intercepts but the same slope for each diet b) a first order model that allows for different slopes and intercepts for each diet (c) a first order model that allows for different slopes and the same intercept for each diet
From the image: One toad in the dataset had a body mass of 128g and a total tested mass of 163 mg. Compute the residual corresponding to this toad and write a sentence interpreting the residual.
its not 35,500.