SOLUTION: A car manufacturer is concerned about a fault in the braking mechanism of one of the models they released. The fault can on rare instances cause a catastrophe at high speed. Assum

Question 1130849: A car manufacturer is concerned about a fault in the braking mechanism of one of the models they released. The fault can on rare instances cause a catastrophe at high speed. Assume that the distribution of the number of cars per year that will experience the fault is a Poisson random variable with mean 7.
(Please enter your answer as fractions in simplest form or as decimals rounded to four decimal places.)
a. What is the probability that at most 3 cars per year will experience a catastrophe?

b. What is the probability that more than 3 cars per year will experience a catastrophe?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is the probability of 0, 1,2,and 3
for 0, e^(-7)*7^0.0!=0.0009
for 1, it is that number *7^1/1! or 7 times that or 0.0064 (not rounded until the end)
for 2, it is that number *7^2/2! or 24.5 times that or 0.0223
for 3, it is 7^3/3! or 343/6 times that or 0.0521

From calculator, it is 0.0818
More than 3 is the complement or 0.9182
RELATED QUESTIONS
A car manufacturer is concerned about a fault in the braking mechanism of one of the... (answered by Boreal)

what happen if there is any fault downstream of the 13A... (answered by Alan3354)

Given the conditional "If moderation is a fault, then indifference is a crime" (Jack... (answered by ikleyn)

Please help me on this (1) Out of 1000 cars, 50 develop mechanical faults within 3... (answered by Fombitz)

The braking distance D in feet required to stop a car traveling x miles per hour on; dry, (answered by Boreal)

The 1906 San Francisco earthquake resulted in a maximum 8.5 m (28 ft) of movement along... (answered by ikleyn)

On a dry surface, the braking distance (in meters) of a certain car is a normal... (answered by lynnlo)

Can someone please help me with this problem? Thank you so much. The braking distance... (answered by stanbon)

The braking distance d of a car travelling V mi/hr is approximated by d= v+ (v^2)/20.... (answered by Alan3354)