Answer:
(1)14.9% (2) 2.96% (3) 97.04%
Step-by-step explanation:
Formula for Poisson distribution: 
where k is a number of guests coming in at a particular hour period.
(1) We can substitute k = 7 and 
into the formula:
(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours
(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:
Step-by-step explanation:
See the attached for the proof
A. You need to compare 2/5, 1/2 and 3/4
2/5= .4
1/2= .5
3/4=.75
Therefore the bucket that is 2/5 full is less than 1/2 full
Step-by-step explanation:
always draw triangle b first. for triangle b it is reflected across the x-axis which means all y valies become negative. then for triangle c, you swap the x and y values around.
2(5n-2)=4(n+2)
10n-4=4n+8
6n-4=8
6n=12
n=2
