Which of the following tables represents the probability distribution of X?Table ATable BTable CTable D

A discrete random variable X has this probability distribution.a) Complete the table (10 pts)Compute:b) 𝜇 = 𝐸(𝑋) = ∑[𝑥𝑃(𝑥)] = ___________________ (2 points)c) 𝑉𝑎𝑟(𝑋) = ∑[(𝑥 − 𝜇)2𝑃(𝑥)] = ___________________ (2 points)d) Standard deviation. ___________________ (1 points)Note: Answers from b – d, round off to 2 decimal places. For the table take all decimal places.𝑥 0 1 2 3 4𝑃(𝑥) 0.12 0.25 0.18 0.35 0.10𝑥𝑃(𝑥)𝑥 − 𝜇(𝑥 − 𝜇)2(𝑥 − 𝜇)2𝑃(𝑥)

Which of the following probability distributions is/are NOT valid complete probability distribution(s)?A      X       Probability0 0.12 0.23 0.34 0.4B      X       Probability0 0.150.5 0.151 0.201.5 0.252 0.25C      X       Probability0 −0.051 0.202 0.253 0.354 0.40Only Table A is an invalid distribution.Only Table B is an invalid distribution.Only Table C is an invalid distribution.

Which of the following is NOT a part of a standard table? Table number Stub Caption Frequency distribution

A discrete random variable X has the probability distribution shown in the table belowDetermine the value of the constant a

Based on the below table, answer the following question:xP(x)30.0540.4050.3060.1570.10 Find P(X>3)Question 3Answera.0.95b.0.15c.0.3