Answer:
1. P(X=0)=0.135
2. P(T>1)=0.271
Step-by-step explanation:
1. Let X be the number of accidents in the next year. Find the distribution of X and calculate P(X=0).
The rigth distribution to describe this type of event as number of accidents per unit of time is the Poisson distribution.
In this case k=0 accidents, parameter λ=2 events/year and t=1 year:
2. Let T be the amount of time until the next accident. Find the distribution of T and calculate P(T>1).
In this case, the time between events can be best described by an exponential distribution:
In this case parameter λ=2 events/year and t=1 year:
The equation would be : 10y + 3x = 50
Hope this helps :)
Answer: d. .2474.
Step-by-step explanation:
Given : The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes.
The cumulative distribution function for exponential distribution is :-
, where = Mean of the distribution.
The probability that the service time is between 2 and 4 minutes will be :
Hence, the correct option is d. .2474.
The answer is A.
a= 11.08 and b= 12.94