(1) mean value = 6
use excel function POISSON(x,mean,cumulative)
set x = 4, mean =6 and cumulative = TRUE
P(X>4) =1 -POISSON(4,6,TRUE) = 0.7149
(2) mean value = 6
use excel function POISSON(x,mean,cumulative)
set x = 1, mean =6 and cumulative = TRUE
P(X 1) =POISSON(1,6,TRUE) = 0.0174
The number of accidents in a month at a certain intersection, denoted by X, has been...
On averago, 5 traffic accidents per month occur at a certain intersection. Complete parts (a) through (c) below. Click here to view the table of Poisson probability sums (a) What is the probability that exactly 6 accidents will occur in any given month at this intersection? The probability that exactly 6 accidents will occur in any given month at this intersection is 0.1462 (Round to four decimal places as needed.) (b) What is the probability that fewer than 5 accidents...
1.The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 3.7 per week. Find the probability of 10 or more accidents occur in a week? 2.The probability distribution for the number of goals scored per match by the soccer team Melchester Rovers is believed to follow a Poisson distribution with mean 0.80. Independently, the number of goals scored by the Rochester Rockets is believed to follow a Poisson distribution with mean 1.60. You...
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Suppose traffic accidents at a road intersection occur once every 7 days. It can be assumed there is no more than 1 accident occurring at this intersection simultaneously, and at this intersection accidents can occur at any time. Also, an accident is not due to other accidents. (What type of distribution is this i.e. Gaussian, Poisson, etc.?) What is the probability that there are 3 accidents during the next 15 days at the intersection? Calculate by hand. What is the...
A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.70 accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of 90 days gave the following information. r 0 1...
(1 pt) The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4 per week. Find the probability of the following events. A. No accidents occur in one week Probability B. 5 or more accidents occur in a week. Probability- C. One accident occurs today. Probability
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A civil engineer has been studying the frequency of vehicle accidents on a certain stretch of interstate highway. Longterm history indicates that there has been an average of 1.70 accidents per day on this section of the interstate. Let r be a random variable that represents number of accidents per day. Let O represent the number of observed accidents per day based on local highway patrol reports. A random sample of 90 days gave the following information. r 0 1...
On average, 2 5 traffic accidents per month occur at a certain in p per month occur at a certain intersection. Complete perts (a) through (c) below Table of Poisso probability sums Click here to view the table of Poisson probabiity sums (a) What is the probability that exacty 5 accidents will occur in any given month at this intersection? The probebilty that exacty 5 accidents wal occur in any given monch at this intersection is Poisson Probability Suns r...