The number of messages that arrive at a Web site is a Poisson distributed random variable with a mean of 7 messages per hour. Roundyour answers to four decimal places (e.g. 98.7654).(a) What is the probability that 5 messages are received in 1 hour?(b) What is the probability that 10 messages are received in 1.5 hours?(c) What is the probability that fewer than 2 messages are received in 1/2 hour?

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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 table summarizes results from 975 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths Driver Intoxicated? Yes No Pedestrian Intoxicated? Yes 44 278 Probability= If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was not intoxicated. Please enter a decimal to 4 decimal places. No 71 582 Submit Question
What is the probability that more than 4 accidents will occur within any given year at an intersection, where the mean number of accidents at the intersection per year is 3? what is the probability that more than 3 accidents will occur within any given year at the intersection? Give answer to 3 decimal places.
Q3 a) A component has an exponential time to failure with a mean of 100 hours. (i) The component has already been in operation for its mean life. What is the probability that it will fall by 150 hours? (ii) The component will operate for another 50 hours given that it is in operation 150 hours. (iii) If 20 components are tested, what is the probability that at least one fails in less than 200 hours? Assume that the components fail independently. b) Students of National University were classified according to their favorite color: Blue 12 5 Favorite color Red 13 13 Black 25 20 Male Female If one student is selected at random, then find the probability that the selected student: (i) Doesn't like black color. (ii) Is Female and likes blue color. (iii) Is Male or like black color. (iv) Likes red color given that it is female.
An average of 1 package is sent to a server in 1 second. The server, on the other hand, prepares a document using the 5 packages received. The time between packets is modeled as an exponential random variable. Let X be a random variable expressing the time it takes the server to prepare a document. The time taken to prepare a document; a) Find the probability that it is more than 10 seconds.(with detail) b) Find the probability that it is between 5 seconds and 10 seconds. (with detail)
Let X~N(8, 1.5) What is the probability associated with an outcome between (6.5, 9.5)?
The time between arrivals of customers at the drive-up window of a bank follows an exponential distribution with a mean of 20 minutes. a)What is the probability that the arrival time between customers will be 13 minutes or less? b)What is the probability that the arrival time between customers will be between 13 and 27 minutes?
he table summarizes results from 977 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 49 71 No 222 635 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated but the driver was. Please enter a decimal to 4 places.
Sociologist say that 90% of married women dislike their husband's mother . Suppose 6 married women are having coffee together one morning. What is the probability that
The table summarizes results from 975 pedestrian deaths that were caused by automobile accidents. Pedestrian Deaths DriverIntoxicated? Pedestrian Intoxicated? Yes No Yes 47 75 No 252 601 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated but the driver was. Please enter a decimal to 4 places.Probability =
The probability of Pakistan to win a KABBADI match against India is 0.9117. Both teams played a series of 7 Matches, Find probability that Pakistan wins 1. exactly 4 matches 2. at most 2 matches 3. at least 5 matches
Two hundred draws will be made at random with replacement from a box with four tickets: 1, 3, 5, 7. The SD of the box is 2.24. What is the probability that the sum of the draws will be between 800 and 835? Enter a value between 0 and 100 with two decimal points representing the percent chance that this occurs.

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