Answer:
0.381 is the probability that the number of drivers will be at most 18.
Step-by-step explanation:
We are given the following information in the question:
The number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20.
- The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.
- The variance of Poisson distribution is equal to the mean of Poisson distribution.
a) P(number of drivers will be at most 18)
Formula:


Thus, 0.381 is the probability that the number of drivers will be at most 18.
ANSWER
We can divide in to two rectangles as in the attachment.
We then find the area of each rectangle and add together.
The area of the bigger rectangle is


The area of the smaller rectangle i


Hence the area of the figure is


Let m represent the number of miles this guy runs in a day.
He runs every day, so the minimum number of miles has to be greater than 0.
According to the problem statement, the max number of miles is 3.5 miles or less.
Translate this into a (symbolic) inequality.
Answer:

Step-by-step explanation:
Let, the number of cans collected by Shane = x.
So, the number of cans collected by Abha = x + 178.
Since, at least 2000 cans are required to be collected.
Thus, we have the inequality,
Number of cans by Shane + Number of cans by Abha ≥ 2000.
i.e. 
i.e. 
Thus, the required inequality is
.