EXPLANATION
We have that the area under the probability density curve is equal to 1.
As the width of the rectangle is 2, the height must be 1/2.
Then, the probability that X is between 0.2 and 1.54 is as follows:
P = 1/2 ( 1.54 - 0.2 )
= 0.67
Hence, the probability is 0.67
c=2πr
=2*3.14*12
=75.36 m
it's circumference is 75.36 m
80 kilometer = 80,000
80 kilomets converts to 80,000 meters
a)
his income must be "x" which is the 100%, and we would know that 0.2% of that is 12.37.
b)
his income must be "x" which is the 100%, and we would know that 2% of that is 12.37.
btw he's not making much either way.
Answer:
0.087
Step-by-step explanation:
Given that there were 17 customers at 11:07, probability of having 20 customers in the restaurant at 11:12 am could be computed as:
= Probability of having 3 customers in that 5 minute period. For every minute period, the number of customers coming can be modeled as:
X₅ ~ Poisson (20 (5/60))
X₅ ~ Poisson (1.6667)
Formula for computing probabilities for Poisson is as follows:
P (X=ₓ) = ((<em>e</em>^(-λ)) λˣ)/ₓ!
P(X₅= 3) = ((<em>e</em>^(-λ)) λˣ)/ₓ! = (e^-1.6667)((1.6667²)/3!)
P(X₅= 3) = (2.718^(-1.6667))((2.78)/6)
P(X₅= 3) = (2.718^(-1.6667))0.46
P(X₅= 3) = 0.1889×0.46
P(X₅= 3) = 0.086894
P(X₅= 3) = 0.087
Therefore, the probability of having 20 customers in the restaurant at 11:12 am given that there were 17 customers at 11:07 am is 0.087.
