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Let the probability density function of a random variable, X, be given as: $${{\text{f}}_{\text{x}}}\left( {\text{x}} \right) = \frac{3}{2}{{\text{e}}^{ - 3{\text{x}}}}{\text{u}}\left( {\text{x}} \right) + {\text{a}}{{\text{e}}^{4{\text{x}}}}{\text{u}}\left( { - {\text{x}}} \right)$$      where u(x) is the unit step function. Then the value of 'a' and Prob{X ≤ 0}, respectively, are

Let the probability density function of a random variable, X, be given as: $${{\text{f}}_{\text{x}}}\left( {\text{x}} \right) = \frac{3}{2}{{\text{e}}^{ - 3{\text{x}}}}{\text{u}}\left( {\text{x}} \right) + {\text{a}}{{\text{e}}^{4{\text{x}}}}{\text{u}}\left( { - {\text{x}}} \right)$$      where u(x) is the unit step function. Then the value of 'a' and Prob{X ≤ 0}, respectively, are Correct Answer 2, $$\frac{1}{2}$$

Related Questions

An electronic device rearranges numbers step-by-step in a particular order according to set of rules. The device stops when the final result is obtained.
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Step 1: 96 84 15 35 04 18 62 08
Step 2: 96 84 62 15 35 04 18 08
Step 3: 96 84 62 35 15 04 18 08
Step 4: 96 84 62 35 18 15 04 08
Step 5: 96 84 62 35 18 15 08 04
And Step 5 is the last step for this input. Now, find out an appropriate step in the following question following the above rule. Question:
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What will be the third step for this input ?
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Step 1: take gone are enough brought station
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What will be the last step for this input ?
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Complex Variable mcq question image
The value of $$I$$ is
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