Answer:
P(X<3) = 0.01004
Step-by-step explanation:
From the given information:
Consider the application of Poisson distribution with the parameter
;
Therefore, we can calculate the required probability as follows:
P(X< 3) = P(X = 0) + P(X = 1) + P(X =2)
P(X<3) = 0.01004
Answer:
area of the sector = 3.25π yard²
Step-by-step explanation:
The radius of the circle is 3 yards . The central angle is 130° let us say it is the sector angle of the circle. The angle is 130°. If the shaded area of the circle is the sector area of the circle the area of the sector can be computed below.
area of a sector = ∅/360 × πr²
where
∅ = center angle
r = radius
area of the sector = 130/360 × π × 9
area of the sector = 1170π/360
area of the sector = 3.25π yard²
If the shaded area is segment. The shaded area can be solved with the formula.
Area of segment = area of sector - area of the triangle
Area of segment = ∅/360 × πr² - 1/2 sin∅ r²
The picture demonstrate the area of sector and the segment of a circle with illustration on how to compute the area of the triangle
