Question

Cars arrive at a petrol station according to Poisson process with rate 24 per hour. What is the probability that no more than two cars arrive during a 5 minute interval?

Select one:
a. 0.3233
b. 0.6767
c. 0.2707 Incorrect
d. 0.5413
e. 0.5940

Answer 1

@vishweshshrimali5

Answer 2

What do you think should be the answer ?

Have you tried this yet ?

Answer 3

Sorry, I can't help you in stats. Never was good at stats/

Answer 4

i put c, which is incorrect

Answer 5

thanks

Answer 6

For poisson distribution,refer to this formula :
\[\Huge P = \frac{\lambda^x e^{- \lambda}}{x!}\]
Where lambda=Mean no. of succeses in the given time period.
x : Number of succeses we are interested in
e : Natural base lograrithm.

Answer 7

alpha=24/60=0.4cars per min
lambda=alpha*time=0.4*5=2
NOt sure from here
P(X<2), am i on the right track @DLS

Answer 8

no more than two means
zero
one
two

Answer 9

\[P(k=0)=e^{-\lambda}\]
\[P(k=1)=\lambda e^{-\lambda}\]
\[P(k=2)=\frac{\lambda^2e^{-\lambda}}{2}\]

Answer 10

add them up for your answer

Answer 11

for P(x<2) why ure including 2

Answer 12

typo there
in your case \(\lambda = 2\) since 24 per hour is the same as 2 per five minutes

Answer 13

no more than two

Answer 14

i drank no more than two bottles of beer last night
could have had none, one, or two

Answer 15

AHH!! so also include 2, i think that is where i was goin wrong

Answer 16

I'm getting b. Concurr?