HSC Commerce Class 12 - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Find the missing entry in the following table

Following are the population of a district

Find the population of the year 1911

Find the missing entries from the following.

Choose the correct alternative:

Δ²y₀ = 

Choose the correct alternative:

Δf(x) =

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E ≡

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If h = 1, then Δ(x²) = 

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If c is a constant then Δc =

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If m and n are positive integers then Δ^m Δⁿ f(x)=

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If ‘n’ is a positive integer Δⁿ[Δ^-n f(x)]

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E f(x) =

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∇ ≡

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∇f(a) =

If f(x) = e^ax then show that f(0), Δf(0), Δ²f(0) are in G.P

Prove that (1 + Δ)(1 – ∇) = 1

Prove that  Δ∇ = Δ – ∇

Prove that EV = Δ = ∇E

Construct cumulative distribution function for the given probability distribution.

Let X be a discrete random variable with the following p.m.f
`"P"(x) = {{:(0.3,  "for"  x = 3),(0.2,  "for"  x = 5),(0.3,  "for"  x = 8),(0.2,  "for"  x = 10),(0,  "otherwise"):}`
Find and plot the c.d.f. of X.

The discrete random variable X has the probability function

Show that k = 0 1