Among the four normal distribution with probability density function as shown below, which one has the least density the lowest variance?

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III

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Solution

The correct option is D IV

Sharpness of the curve defines the variance. Here Graph IV varies the least in comparison to any other graph for a fixed interval of x. Thus, the variance of p.d.f IV is lowest.

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Similar questions

The variance of the random variable X with probability density function $f (x) = \frac{1}{2} | x | e^{- | x |}$ is .

f (x) = {\begin{matrix} α e^{- α x} if x > 0 0 otherwise \end{matrix}

X

X	1	2	3	4	5
P(X=x)	k	2k	3k	2k	k

ψ^{2}

(n - 1)

P_{n i} (r) = 4 π r^{2} R_{n i}^{2} (r)

(Ψ)

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