The probability distribution for the random variable x follows.f(x)200.24250.13300.26370.37a. Is this probability distribution valid? Explain.- Select your answer -b. What is the probability that x=30 (to decimals)?c. What is the probability that x is less than or equal to 25 (to 2 decimals)?d. What is the probability that x is greater than 30 (to 2 decimals)?