The random variable X has the probability density function f(x) = \(\begin{cases} ax\,+\,b, & 0<x<1\\ 0,&otherwise \end{cases}\)and E(X) = 7/12 , then a and b are respectively _______.(a) 1 and 1/2(b) 1/2 and 1(c) 2 and 1(d) 1 and 2

The random variable X has the probability density function f(x) = \(\b

1.	The random variable X has the probability density function f(x) = \(\begin{cases} ax\,+\,b, & 0<x<1\\ 0,&otherwise \end{cases}\)and E(X) = 7/12 , then a and b are respectively _______.(a) 1 and 1/2(b) 1/2 and 1(c) 2 and 1(d) 1 and 2
Answer» The correct answer is : (a) 1 and 1/2

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The random variable X has the probability density function f(x) = \(\begin{cases} ax\,+\,b, &amp; 0&lt;x&lt;1\\ 0,&amp;otherwise \end{cases}\)and E(X) = 7/12 , then a and b are respectively _______.(a) 1 and 1/2(b) 1/2 and 1(c) 2 and 1(d) 1 and 2

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The random variable X has the probability density function f(x) = \(\begin{cases} ax\,+\,b, & 0<x<1\\ 0,&otherwise \end{cases}\)and E(X) = 7/12 , then a and b are respectively _______.(a) 1 and 1/2(b) 1/2 and 1(c) 2 and 1(d) 1 and 2