the us department of transportation reports that there are an average of 4 car crashes per...
the us department of transportation reports that there are an average of 4 car crashes per minute between the hours of 3 and 6 pm the number of crashes per minute is poisson distributed. a) what is the probability of there being 0 crashes on any one minute period between 3 pm and 6 pm b) what is the probability there are 3 or more crashes in any given 1 minute period between 3 ad 6? c) what is standard deviation of crashes in any given 1 minute period between 3 and 6?
Homework Answers
Let X denotes the number of car crashes per minute between the hours of 3 and 6 pm.
X ~ Poisson(4)
The probability mass function of X is
Now
a)The probability of there being 0 crashes on any one minute period between 3 pm and 6 pm
b) The probability there are 3 or more crashes in any given 1 minute period between 3 ad 6
c) The standard deviation of crashes in any given 1 minute period between 3 and 6
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