A large engineering company employs a large number of individuals with engineering backgrounds. Of these, 2% have Ph.D. degrees, 12% have master's degrees, 38% have bachelor's degrees, and the remainder have a technical background, but no degree. The educational backgrounds are coded in the personnel department as 1, 2, 3, or 4 depending on whether the employee has a Ph.D., master's degree, bachelor's degree, or no degree. Random variable X represents the coded educational background. Give the probability distribution of X, the cumulative probability distribution of X, and find F(X <3). Please answer in complete solution

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