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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The mean checkout time in the express lane of a large grocery store is 2.7 minutes, and the standard deviation is 0.6 minutes. The distribution of checkout times is non-normal (for one thing, it can be a lot longer than 2.7 minutes, but it can only be so short).(a) What is the probability that a randomly-selected customer will take less than 3 minutes? 0.69150.3085 It cannot be determined from the information given. (b) What is the probability that the average time of two randomly-selected customers will take less than 3 minutes? It cannot be determined from the information given.0.2389 0.7611 (c) The probability that the average time of 64 randomly-selected customers will take less than 2.8 minutes is (d) The probability that the average time of 81 randomly-selected customers will take less than 2.8 minutes is (e) The probability that the average time of 225 randomly-selected customers will take less than 2.8 minutes is (f) The probability that the average time of 400…
Suppose that the probability is 0.3 that any given citrus tree will show measurable damage when the temperature falls to 30°F. (a) If the temperature does drop to 30°F, what is the expected number of citrus trees showing damage in orchards of 2,100 trees? trees (b) What is the standard deviation of the number of trees that show damage? (Round your answer to three decimal places.) trees
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plovabllity distribution. i Find the expected value and the standard deviation for the distribution in (i) above. 9. A team of 3 players is to be chosen from 4 boys and 5 girls. Find the: (i) probability distribution for the number of girls in the team. (ii) expected value and the standard deviation for the distribution in (i) above. 6.
Annual rainfall in an area is normally distributed with an average of 45 inches per year and a standard deviation of 8 inches. 1.What is the probability that the annual rainfall next year is less than 40 inches? 2 What is the probability that the annual rainfall next year is greater than 50 inches? 3 What is the probability that the annual rainfall is greater than 10 inches but less than or equal to 75 inches?
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Anne is studying for a history exam covering the ... French Revolution that will consist of five essay ques- tions selected at random from a list of ten the professor has handed out to the class in advance. Not exactly a Napoleon buff, Anne would like to avoid researching all ten questions but still be reasonably assured of getting a fairly good grade. Specifically, she wants to have at least an 85% chance of getting at least four of the five ques- tions right. Will it be sufficient if she studies eight of the ten questions?
The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 24 minutes and a standard deviation of 7 minutes. Find the probability that the time between taking the medication and getting relief is as follows. (Round your answers to four decimal places.) (a) at least 32 minutes (b) at most 19 minutes
The amount of time between taking a pain reliever and getting relief is normally distributed with a mean of 22 minutes and a standard deviation of 5 minutes. Find the probability that the time between taking the medication and getting relief is as follows. (Round your answers to four decimal places.) (a) at least 30 minutes(b) at most 17 minutes
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories. Part (a) Give the distribution of X. X-N 36 10 Part (b) Find the probability that the percent of fat calories a person consumes is more than 40. (Round your answer to four decimal places.) X
n a large population of adults, the mean IQ is 116 with a standard deviation of 20. Suppose 50 adults are randomly selected for a market research campaign. (Round all answers to 4 decimal places, if needed.) (c) The probability that the sample mean IQ is less than 112 is .(d) The probability that the sample mean IQ is greater than 112 is .(e) The probability that the sample mean IQ is between 112 and 122 is
just need f. parts iii and iv

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