Step-by-step explanation:
We have it that x follows a poisson distribution.
λ is equal to 3
The poisson distribution is given by:
P(x) = e^-λ * λ^X/X!
λ = 3
X = 4
A. The question had already given us the X value to be 4
p(x = 4)
= e^-3 x 3⁴/4!
= e^-3 = 0.001
3⁴= 34
4! = 81
putting all values into p(x=4)
= .001x81/24
= 0.1680
b. for 3 good hours, we will have lamda to be;
3x3 = 9
p(x = 6)
= e^-9 * 9⁶/6!
= 0.0911
188,000-
First, you have to find what 8 percent of 100,000 is. In order to do this, multiply 100,000 by 0.08. You get 8,000.
Then, you multiply 8,000 by 11. You get 88,000.
Now all that’s left to do is add 88,000 to 100,000, and you get 188,000.
Hope that helped.
2x9 is 18x18 is 324 x28 is 9072 x 46 is 417,312 so the x 58 the answer is 24,204,096