In Oscars monthly budget each category is Assigned a certain percentage of his monthly income Oscars monthly income is $2250
2 answers:
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Answer:
The likelihood that the number of drivers is at most 18 is 0.381.
Step-by-step explanation:
We are provided with the following details in the question:
The quantity of drivers traveling between a specific origin and destination in a set time frame follows a Poisson distribution characterized by the parameter μ = 20.
- The Poisson distribution defines the probability of a certain number of events taking place over a specific period, based on the mean frequency of those events.
- The variance for the Poisson distribution matches its mean value of Poisson distribution.
a) P(number of drivers will be at most 18)
Equation:
So, 0.381 represents the probability that the number of drivers will be at most 18.
The initial equation is
. The subsequent equation is
. By setting both equations equal, we can derive the following:
. Next, simplify:
. Then factor:
. Put x=0 or x=1 into the second equation to yield:
. Alternatively,
. Thus, the solutions are:
Answer:
Attached is the histogram illustrating the marathon runners’ times.
Step-by-step explanation:
The provided data is as follows;
2.21
2.25
2.76
3.1
3.3
3.5
3.6
3.77
3.8
4.23
4.25
4.25
4.6
4.9
From this data, we can determine;
The count of runners finishing between 0 and 1 hour = 0
The count of runners finishing between 1 and 2 hours = 0
The count of runners finishing between 2 and 3 hours = 3
The count of runners finishing between 3 and 4 hours = 6
The count of runners finishing between 4 and 5 hours = 5
Based on these frequencies across the various time ranges, the histogram for the provided data has been constructed and is attached.
