A random variable X has a probability density function (pdf) given by ( f(x) = egin{cases} 2x & text{if } 0 leq x leq 1 \ 0 & \text{otherwise} \(text{if } 0 leq x leq 1 0 & \end{cases} ). Find the probability that X is greater than 0.5.

Question

A random variable X has a probability density function (pdf) given by ( f(x) = egin{cases} 2x & text{if } 0 leq x leq 1 \ 0 & \text{otherwise} \(text{if } 0 leq x leq 1  0 & \end{cases} ). Find the probability that X is greater than 0.5.

Accepted Answer

$int_{0}^{1} 2x , dx - int_{0}^{0.5} 2x , dx$

Post Utme Coal City University 2023 Mathematics Question 35

A random variable X has a probability density function (pdf) given by ( f(x) = egin{cases} 2x & text{if } 0 leq x leq 1 \ 0 & \text{otherwise} \\(text{if } 0 leq x leq 1 0 & \end{cases} ). Find the probability that X is greater than 0.5.

Answer Options

About This Question

Master the Exam!

Post Utme Coal City University 2023 Mathematics Question 35

A random variable X has a probability density function (pdf) given by ( f(x) = egin{cases} 2x & text{if } 0 leq x leq 1 \ 0 & \text{otherwise} \\(text{if } 0 leq x leq 1 0 & \end{cases} ). Find the probability that X is greater than 0.5.

Answer Options

About This Question

Master the Exam!

A random variable X has a probability density function (pdf) given by ( f(x) = egin{cases} 2x & text{if } 0 leq x leq 1 \ 0 & \text{otherwise} \\(text{if } 0 leq x leq 1 0 & \end{cases} ). Find the probability that X is greater than 0.5.