E 14:40. The life-time in hours of a certain electrical equipment has the normal distributionith medh = 80 and standard deviation = 16. (i) What is the probability that the equipment lasts at least100 hours ? (ii) lf the equipment has already lasted 88 hours, what is the conditional probability that it willlast at leastather 12 hours ?3.

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Answered: E 14 40. The life-time 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 adults have IQ scores that are normally distributed with a mean of mμ=100 and a standard deviation σ= 15. Find the probability that a randomly selected adult has an IQ less than 127. The probability that a randomly selected adult has an IQ less tha 127 is
Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.
Scores for students on the verbal portion of the SAT-I test are normally distributed with a mean of 509 and a standard deviation of 108. A random sample of 36 students who took the SAT-I test is selected. Let ?̅ represent the mean score of the sample. 4. The probability that the sample mean score ?̅ is greater than 540 is about (a) 0.9573 (b) 0.5427 (c) 0.6554 (d) 0.0427 (e) 0.17
A random sample of 225 nails in a manufacturing company is gathered. The engineer specified length of a nail must be 8 centimeters having a standard deviation of 0.04 centimeters. It shows that the average weight of the nails is 8.055 centimeters. Do the produced nails exceed the specification of the engineer at a 1% level of significance. 1. What is the level of significance of the problem? 2. What is the critical value of the problem?
S1
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
The temperature in degrees Celsius at a certain location is normally distributed with a mean of 68 degrees and a standard deviation of 4 degrees. The probability that the temperature in degrees Celsius at the same location is greater than 76 degrees is 0.0228 0.1587 None of the other options 0.0062
The test score of a physics class with 160 students is distributed normally with a mean of 75 and standard deviation of 7. what percentage of the class has a test score between 68 and 82 Approximately how many students have a test score between 61 and 89? What is the probability that a student chosen at random has a test score between 54 and 75? Approximately how many students have a test score greater than or equal 96?
5. Let x be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood) after a 12-hour fast. Assume that for people under 50 years old, x has a distribution that is approximately normal, with mean u = 85 and estimated standard deviation a = 25. A test result x< 40 is an indication of severe excess insulin, and medication is usually prescribed. (a) What is the probability that, on a single test, x < 40? That's find P(x < 40) (b) Suppose a doctor uses the average x fot two tests taken about a week apart. What is the probabilit that ( Hint: Your standard deviation here should be ) P(ĩ < 40)
Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 5. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible.b. If an American is randomly chosen, find the probability that this American will receive no more than 23 Christmas cards this year. Incorrectc. If an American is randomly chosen, find the probability that this American will receive between 21 and 26 Christmas cards this year. d. 65% of all Americans receive at most how many Christmas cards? (Please enter a whole number)
Fawns between 1 and 5 months old in Mesa Verde National Park have a body weight that is approximately normally distributed 25.36 kg and standard deviation q = 4.72 kg. Let x be the weight of a fawn in kg. What is the probability that for a fawn chosen at random: with mean u - (a) x is less than 28.88 kg? (b) x is greater than 17.34 kg? (c) x lies between 29.04 and 33.6 kg? -

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