The necessary probability is 0.8186.
Take into account the details offered.
The daily revenue is $7200 on average, with a $1200 standard deviation.
u=7200 and s=1200
The following 30 days' worth
sx= s/sqrt(n) = 1200/sqrt(30) =219.089
As we know
z= x-u/sx
x=7000
u=7200
sx=219.089
Substitute in above formula.
z=7000-7200/219.089
z= -200/219.089
z= -0.912
According to the standard normal table, P(Z > -0.912) = 0.8186
Consequently, 0.8186 is the required probability.
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