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A discrete-valued random variable X takes values in 0, 1, 2, . . . , where p(X = i) = πi.
(a) Write down formulas for:
(b) Calculate and plot the cdf of p-values for the Poisson distribution with parameter λ = 3.5.
(c) Repeat part (b) for λ= 5.0.
(d) Calculate and plot the cdf of p-values for a 2-component
Poisson mixture model with parameters λ1 = 3.5, λ2 = 5.0 and component weights δ1 = 0.4, δ2 = 0.6.
A right triangle whose sides are 15 cm and 20 cm is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Ans : 3768cu.cm,1318.8
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A palm tree of heights 25m is broken by storm in such a way that its top touches the ground at a distance of 5m from its root,but is not separated from the tree.Find the height at
Relations in a Set: Let consider R be a relation from A to B. If B = A, then R is known as a relation in A. Thus relation in a set A is a subset of A ΧA. Identity Relation:
using a pair of compasses a ruler and a pencil. construct a triangle CDE in which DE=10cm, DC+8cm and CDE= 45 degrees. construct CF perpendicular to DE such that F lies on DE using
If one acre costs $2500 how much does .39 of an acre cost?
Q. Draw Grouped Frequency Tables? Ans. Grouped frequency tables are often used when there are many different values. In these tables, the values are grouped into classes
If n is positive integer greater than 1 and a & b both are positive real numbers then, Consider that on occasion we can let a or b to be negative and yet have these propert
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Two circles touch externally. The sum of their areas is 58 π cm 2 and the distance between their centres is 10 cm. Find the radii of the two circles. (Ans:7cm, 3cm) Ans:
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