Sir please solve properly. I am running out of time for my home work . Please do faster.

Zoom the picture to get clear picture. Do all subparts and just ensure the correct answer. Thanks in advance.

Its urgent please solve asap and provide handwritten solve do not give software or excel solved solution

The discrete random variable X has the probability distribution given by: 2', O 1 2 3 P(X : z) 0.1 1.5r 0.4 0.25 a. Determine the following probability: P{X=1) = ? Answer in exact fraction or exact decimals b. What is the expected value of the random variable X? Answer in exact fraction or exact deCImals c. What is the variance of the random variable X? Answer in exact fraction or exact decimals d. Find the variance of the random variable Y, where Y 2 75X I; Answer in exact fraction or exact decimals