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2 answers:
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Answer:
a) We have the mean number of events is interval(5.3 events in 10 minutes), which constitutes the Poisson probability distribution.
b) 5.3
c) 5.3
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
a. What probability distributions' properties is this?
We have the mean number of events is interval(5.3 events in 10 minutes), which constitutes the Poisson probability distribution.
b. What is the expected value of the random variable x?
It is known that the mean number of occurrences in ten minutes is 5.3.
So the mean is
c. What is the variance of the random variable x?
In the Poisson probability distribution, the variance is the same as the mean. So the variance is 5.3.
<u>Given:</u>
It is given that the ridge is 360 inches tall.
<u>Assumptions:</u>
Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is inches.
The distance from your eye level to the bottom of the ridge is 427 inches.
Assume the angle A is 60°.
<u>To find the distance from you to your dog.</u>
<u>Solution:</u>
A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.
Assume the hypotenuse of the triangle measures x inches.
To determine the length of the hypotenuse, we determine the cos of the angle.
So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.