The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is

The distribution is graphed as shown below.
Answer:
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.
Answer:
18 minutes
Step-by-step explanation:
Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:
Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:
Together, in 1 minute they can peel:
- 1/45+1/30= 2/90+3/90= 5/90= 1/18 of all the potatoes
To peel all the potatoes they need:
- 1 ÷ 1/18= 1 × 18= 18 minutes
So it will take them 18 minutes to peel all the potatoes
Answer:
The total length of the border is 
Step-by-step explanation:
we know that
The circumference of a circle is equal to

we have

assume

substitute
