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1 answer:
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Answer:
Step-by-step explanation:
Let X be the no of vehicles that require warranty service within I year out of vehicles sold (9) yesterday.
Each vehicle is independent of the other to get warranty service
Hence X is binomial with p=8% = 0.08
So P(X=x) =
c)
d) Mean = Mean of binomial = np =
Var (x) = npq =
Std dev = square root of variance = 0.8139
Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
Whereas the area of a circle for a radius r is given as
Now the ratio is given as
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.