Answer:
a) P(2)=0.270
b) P(X>3)=0.605
c) P=0.410
Step-by-step explanation:
We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

a) In this case: 

Therefore, the probability is P(2)=0.270.
b) In this case: 

Therefore, the probability is P(X>3)=0.605.
c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.
In this case: 

Therefore, the probability is P=0.410.
Answer:
x = 45
Step-by-step explanation:
0.36(18) + 0.04x = 0.12(24 + x)
6.48 + 0.04x = 2.88 + 0.12x
0.04x - 0.12x = 2.88 - 6.48
-0.08x = -3.6
0.08x = 3.6
x = 3.6/0.08
x = 45
Answer:
$5.50
Step-by-step explanation:
The function we are given is
p = 0.80n + 5.50,
where n is the number of balls.
Multiplying this variable by 0.80 means $0.80 will be the cost per ball. The additional amount added to the variable in the function, 5.50, will be the entrance fee.
We need to cross multiply to solve it.
After we cross multiply we get
6x-1 = 3 x 5
6x-1 = 15
6x = 16
x = 16/6
x = 8/3
Hope that helps :D