<h3>
Answer: 0.98976</h3>
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Explanation:
60% of the people have been vaccinated, so 40% have not.
The probability of getting five people in a row that aren't vaccinated is (0.40)^5 = 0.01024
Subtract this from 1 to get the probability of at least one vaccinated person in the sample of five.
1-0.01024 = 0.98976
This works because the events "at least one vaccinated" and "none vaccinated" are complementary. One or the other must happen, which means the two probabilities add to 1.
Answer:
1.732
Step-by-step explanation:
You are given that claims are reported according to a homogeneous Poisson process
LetX be the waiting time from 0 to second claim
X is Poisson with averageof 3 hours.
We know in a Poisson distribution the mean = variance
Hence average waiting time = mean = 3
This will also be equal to var(x)
Var(x) = mean of Poisson distribution= 3
Hence standard deviation = square root of variance
=
Answer:
-sin(u)
Step-by-step explanation:
This is a Trig identity. The best way to understand this is to start at zero degrees. +u would move counterclockwise, while -u moves clockwise. The sine function gives you how far in the y-direction you are from the x-axis. Since you're moving the same amount by going u degrees (or u radians) around the circle as you would going -u degrees (or -u radians), your distance from the x-axis is the same. But it reflects over the x-axis, so the two outcomes are inverses of each other.
Position in the sequence triangular number relation
1 1 1 = 1*(1+1)/2
2 3 3 = 2(2+1)/2
3 6 6 = 3(3+1)/2
4 10 10 = 4(4+1)/2
5 15 15= 5(5+1)/2
Call n the position in the sequence, then the triangular number is: n(n+1)/2
