List of top Mechanical Engineering Questions on Miscellaneous asked in AP PGECET

If \(A\), \(B\), and \(C\) are mutually exclusive and exhaustive events of a random experiment such that \[ P(A)=\frac{1}{3}P(B) \] and \[ P(B)=2P(C), \] then \[ P(A\cup C) \] is equal to _______. 

A continuous random variable X has a probability density function \[ f(x) = \begin{cases} 3x^{2}, & \text{if } 0 \leq x \leq 1 0, & \text{otherwise} \end{cases} \] If \(P(X \leq a) = P(X > a)\), then the value of a is equal to _______
What is the name of the surface that is generated with linear interpolation of two curves?
If A, B and C are mutually exclusive and exhaustive events of a random experiment such that \(P(A) = \frac{1{3} P(B)\) and \(P(B) = 2 P(C)\), then \(P(A \cup C)\) is equal to _______}
A continuous random variable X has a probability density function \[ f(x) = \begin{cases} 3x^{2}, & \text{if } 0 \leq x \leq 1 0, & \text{otherwise} \end{cases} \] If \(P(X \leq a) = P(X > a)\), then the value of a is equal to _______
What is the name of the surface that is generated with linear interpolation of two curves?