The length of life, in hours, of a drill bit in a mechanical operation has a Weibull distribution with a = 3 and ẞ= 60. Findthe probability that the bit will fail before 12 hours of usage.The probability is ☐(Round to four decimal places as needed.)

The given information about Weibull distribution is α=3 and β=60let X be a random variable that…

Answered: The length of life, in hours, of a…

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...

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Assume that the probability of a being born with Genetic Condition B is p=110. A study looks at a random sample of 1037 volunteers.Find the most likely number of the 1037 volunteers to have Genetic Condition B.(Round answer to one decimal place.)μ=Let X represent the number of volunteers (out of 1037) who have Genetic Condition B. Find the standard deviation for the probability distribution of X.(Round answer to two decimal places.)σ=Use the range rule of thumb to find the minimum usual value μ−2⋅σ and the maximum usual value μ+2⋅σ Enter answer as an interval using square-brackets only with whole numbers. Make sure the end points are usual values that are actually within the range of usual values.usual values =
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In a family with 10 children the p probability of a boy =0.5. Find the exact probability of less than 2 boys. And find the normal approximate probability of less than 2 boys. O A. Exact = 0.550, Approx = 0.570 %3D B. Exact = 0.005, Approx = 0.007 OC. Exact = 0.055, Approx = 0.057 %3D OD. Exact = 0.055, Approx = 1.0 %3D
Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant D A В D Order Accurate 318 260 235 121 Order Not Accurate 39 57 33 14 If one order is selected, find the probability of getting food that is not from Restaurant A. The probability of getting food that is not from Restaurant A is. (Round to three decimal places as needed.)
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Find the indicated probability and interpret the result. From 1975 through 2020, the mean annual gain of the Dow Jones Industrial Average was 653. A random sample of 33 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 800? Assume σ = 1540. The probability is ☐ (Round to four decimal places as needed.)
Based on a poll, among adults who regret getting tattoos, 13% say that they were too young when they got their tattoos. Assume that six adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below. a. Find the probability that none of the selected adults say that they were too young to get tattoos. 0.4336 (Round to four decimal places as needed.) b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos. 0.3888 (Round to four decimal places as needed.) c. Find the probability that the number of selected adults saying they were too young is 0 or 1. (Round to four decimal places as needed.)
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The length of life, in hours, of a drill bit in a mechanical operation has a Weibull distribution with a = 3 and ẞ=60. Find the probability that the bit will fail before 12 hours of usage. The probability is (Round to four decimal places as needed.)