The time to failure (in hours) fora laser in a cytometry machine is modeled by an exponential distribution with 2 = 0.00004. Roundthe answers to 3 decimal places.(a) What is the probability that the laser will last at least 20710 hours?(b) What is the probability that the laser will last at most 30738 hours?(c) What is the probability that the laser will last between 20710 and 30738 hours?Statistical Tables and Charts

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Answered: The time to failure (in hours) fora…

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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Find the standard error
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 29 psi (pounds per square inch.) (a) At what psi ill the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.) When the tire pressure is (Click to select) v psi. (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. If the car's average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.) Probability (c) The manufacturer's recommended correct inflation range is 27 psi to 31 psi. Assume the tires' average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire's inflation is within the recommended range? (Round your intermediate calculations and final answer to 4 decimal places.) Probability
Please answer all parts and round your answers to 5th decimal place. Thank you!
help me please answering the ff questions: at least 2 hours at most 3 hours between 2 and 3 hours THANK YOU!
SAT math scores are normally distributed with the parameters below. μ=500σ=100 What is the probability a randomly selected score is less than 580 points What score separates the highest 15% of scores from the rest?
A gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the gender-selection technique, 941 births consisted of 474 baby girls and 467 baby boys. In analyzing these results, assume that boys and girls are equally likely. a. Find the probability of getting exactly 474 girls in 941 births. b. Find the probability of getting 474 or more girls in 941 births. If boys and girls are equally likely, is 474 girls in 941 births unusually high? c. Which probability is relevant for trying to determine whether the technique is effective: the result from part (a) or the result from part (b)? d. Based on the results, does it appear that the gender-selection technique is effective? a. The probability (Round to four decimal places as needed.) getting exactly 474 girls in 941 births is
Assume that adults have IQ scores that are normally distributed with a mean of μ= 100 and a standard deviation σ = 20. Find the probability that a randomly selected adult has an IQ less than 120. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected a (Type an integer or decimal rounded to fo Standard Normal Table (Page 1) NEGATIVE z Scores Standard Normal (z) Distribution: Cumulative Area from the LEFT .00 .01 02 .03 .04 .05 .06 .07 .08 .09 -3.50 and lower .0001 -3.4 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 .0003 0002 -3.3 .0005 .0005 .0005 .0004 .0004 .0004 0004 .0004 0004 .0003 -3.2 .0007 .0007 .0006 .0006 .0006 .0006 0006 .0005 .0005 0005 -31 0010 .0009 .0009 .0009 .0008 .0008 .0008 .0008 .0007 .0007 -3.0 .0013 0013 .0013 0012 .0012 .0011 .0011 .0011 0010 0010 -2.9 .0019 .0018 0018 .0017 .0016 .0016 0015 .0015 .0014 .0014 -2.8 .0026 .0025 .0024 .0023 .0023 .0022 .0021 .0021 .0020 0019 -2.7 .0035 .0034 .0033 .0032 .0031…
SAT math scores are normally distributed with the parameters below. μ=500σ=100μ=500σ=100 What is the probability a randomly selected score is more than 460 points ["", "", "", "", ""] What score separates the lowest 20% of scores from the rest?
Random samples of 1000 from a population with proportion 0.65 what is the standard error
Question-6 The reaction time in seconds of a person can be modeled by a lognormal distributed with mean of -0.35 and standard deviation of 0.2. I. Find the probability that the reaction time is less than 0.6 seconds. II. Find the reaction time that is exceeded by 95 % of the population
The weight of frogs in grams in a marsh population are normally distributed with mean (μ) equal to 23 grams and standard deviation (σ) equal to 1 gram. What is the probability that the mean ( ?¯) of a random sample of 4 frogs weighs less than 24 grams? Round your answer to three decimal places.
Only typed answer the average age of a women filing for social security in 2010 was 62.8 years, Assume that the age for filling for social security follows the normal probability distribution and that the standard deviation for this population is 1.6 years what is the probability that a randomly selected women who filed for social security was more tan 65 years old

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