Answer:
The probability distribution of the number of customers that enter the store on a given day is:
Step-by-step explanation:
To calculate a parameter for the given day, we have to calculate what is the average arrival rate for the day.
This can be done with the data given:
1) From 10 to 12, 8 arrival/hour: 16 expected arrivals in this period
2) From 12 to 2, 8 to 12 arrival/hour (average: 10 arrivals): 20 expected arrivals in this period.
3) From 2 to 5, from 10 to 4 arrival/hour (average: 7 arrivals): 21 expected arrivals in this period.
The total expected arrivals in a day are: 16+20+21=57 arrivals/day.
Then, the probability distribution of the number of customers that enter the store on a given day is:
Answer:
5:20pm
Step-by-step explanation:
120+100=320minutes
320/60=5hrs 20min
12+5:20= 17:20pm or 5:20pm
Answer:
2.20752 x 
Step-by-step explanation:
The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.
- 365 days refer to the total number of days per year
- 86,400 seconds refer to the number of seconds per day
Let's solve.
- 365 x 86,400 = 31,536,000 or 3.1536 x
<em>Therefore, one year has 3.1536 x </em><em> seconds.</em>
Next, you have to know the number of seconds in 10 billion years.
- (3.1536 x ) x (1.0 x
) = 3.1536 x 
The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.
- (3.1536 x ) x 7,000,000 = 2.20752 x
The population starts at 2000, so a=2000.
We also know that the population in 3 hours is 1000, so we can setup the equation:
2000 b^3 = 1000
This gets us:
b^3 = 1/2
And taking the cube root of both sides gives us:
b ≈ 0.7937005259841
Rounding that to 4 places, we have:
f(t) = 2000 (0.7937)^t
