(Solved): The temperature, X, at which a certain chemical reaction takes place has a probability density func ...
The temperature, X, at which a certain chemical reaction takes place has a probability density function. f(x)={k(4−x2)0−1≤x≤2 otherwise . Show your work. Do not use Maple. c. Find P(X≤1∣X>0) d. Find the expected value and the standard deviation of the random variable X. e. Find the median of X.
Solution :To find the value of k, we need to integrate the probability density function over its entire range and set the result equal to 1, since the total probability of all possible outcomes must equal 1. Using integration rules, we get: Please refer the above step.