The number of cars running a red light in a day, at a given intersection, posses

Question

The number of cars running a red light in a day, at a given intersection, possesses a disribution with a mean of 2 3 cars and a standard deviation of 3. The number of cars randomly chosen days and the mean number of cars caloulated. Describe the sampling distribution of the sample mean running the red ight was cbserved on 100 O A approximably normal with mean 2.3 and standard deviation-03 O B shape unknown with mean 2.3 and standard deviation 3 O C approximately normal with mean 2 3 and standard deviation 3 O D. shape unknown with mean 2.3 and standard deviation 0.3

Explanation / Answer

sol:

sample size=n=100

n is alrge sample

as n>30

according to central limit theorem sample follows normal with

sample mean=pop mean=3

and sample sd=popstdev/sqrt(n)

=3/sqrt(100)

=3/10

=0.3

SELECT OPTIONA

APPROCIMATELY NORMAL WITH MEAN=2.3 and sd=0.3

OPTIONA

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