SOLUTION: Records indicate that , on average , 3.2 breakdowns per day occur on an urban highway during the morning rush hour. Assume that the distribution is poisson. Find the probability th
Algebra.Com
Question 1193323: Records indicate that , on average , 3.2 breakdowns per day occur on an urban highway during the morning rush hour. Assume that the distribution is poisson. Find the probability that on any given day there will be more than four breakdowns on this highway during the morning rush hour.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
probability of each breakdown from 0 to 3 is e^-lambda*lambda^x/x!
so p(0)=e^-3.2=0.0408
p(1)=).0408*3.2^1=0.1304 (round at end)
p(2)=0.0408*3.2^2/2!=0.2089
p(3)=0.0408*3.2^3/6=0.2228
the answer is 1-that sum=0.3971 (0.3975 with a calculator with rounding at the end). Find out where the intermediate steps should be rounded.
RELATED QUESTIONS
Records indicate that , on average , 3.2 breakdowns per day occur on an urban highway... (answered by CPhill)
Suppose that network breakdowns occur randomly and independently of each other on an... (answered by Boreal)
Question
During rush periods, accidents happen in Nicosia at a rate of 2 per hour. The... (answered by rothauserc)
In a food processing and packing plant, there are on average two packing machine... (answered by Boreal)
A company operates four machines during three shifts each day. From production records,... (answered by stanbon)
A company operates four machines during three shifts each day. From production records,... (answered by stanbon)
Assume drivers are independent.
a) If 5% of the drivers fail to stop at a red light,... (answered by stanbon)
Suppose that on a highway, an average of four accidents occur per day.
a) State the... (answered by Boreal)
During my trip to work, I spent 3/4 of the time driving on the highway, during which I... (answered by josgarithmetic)