The probability distribution of a random variable X is given by | X | 0 | 1 | 2 | |---|---|---|---| | P(X) | 1 - 7a^2 | 1/2a + 1/4 | a^2 | If a > 0, then P(0 < x ≤ 2) is equal to Option 1: 1/16 Option 2: 3/18 Option 3: 7/16 Option 4: 9/16

The answer is '7/16'. View full solution:

Algebra > Probability

Medium

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The probability distribution of a random variable X is given by | X | 0 | 1 | 2 | |---|---|---|---| | P(X) | $1 - 7a^2$ | $\frac{1}{2}a + \frac{1}{4}$ | $a^2$ | If $a > 0$, then $P(0 < x \leq 2)$ is equal to

$\frac{1}{16}$

$\frac{3}{18}$

$\frac{7}{16}$

$\frac{9}{16}$

✅ Correct Option: 3

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The probability distribution of a random variable X is given by | X | 0 | 1 | 2 | |---|---|---|---| | P(X) | $1 - 7a^2$ | $\frac{1}{2}a + \frac{1}{4}$ | $a^2$ | If $a > 0$, then $P(0 < x \leq 2)$ is equal to

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