The mean of the following probability di

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

The mean of the following probability distribution is:

X = x	0	1	2
P(X = x)	1//4	1//2	1//4

Options:

$\frac{2}{3}$

$\frac{1}{3}$

Correct Answer:

Explanation:

X = x	0	1	2
P(X = x)	1//4	1//2	1//4

We know that mean of probability distribution

is → ∑x_iP(x_i)

x_i → data point P(x_i) → probability of respective data point

for given distribution

mean (µ) = $0 \times \frac{1}{4}+1 \times \frac{1}{2}+2 \times \frac{1}{4}$

$= 0 + \frac{1}{2} + \frac{1}{2}$

µ = 1