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Let X be the number of lightning strikes in a year at the top of particular mountain.
X follows Poisson distribution with mean μ = 3.8
We have to find here the probability that in randomly selected year the number of lightning strikes is 0
The Poisson probability is given by,
P(X=k) =
Here we have X=0, mean =3.8
Hence probability that X=0 is given by
P(X=0) =
P(X=0) =
P(X=0) = 0.0224
The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224
Answer:
x = 240 feet
Step-by-step explanation:
It is given that,
The angle of depression is 30 degrees from the bottom of the boat to a deep sea diver at the depth of 120 ft.
We need to find the distance x the diver must swim up to the boat. It can be calculate by applying trigonometry as follows :
So, the distance the diver must swim up to the boat is 240 feet.
