Question: 5. Suppose that the probability distribution for a variable X that represent the numbers of errors in a computer program is given as follows:

5. Suppose that the probability distribution for a variable X that represent the numbers of errors in a computer program is given as follows: P(X=x) X 0 1 2 5 0.1 0.3 0.4 0.2 Determine the following probabilities: A) Less than 2 errors in a computer program. (6 Points) B) More than 1 error in a computer program. (6 Points) C) At 2 or more Errors in a computer program. (6 Points) 6. A production company XYZ has a normal distribution of the number of parts produced per year with an expected value of 30,000 parts produced per year with a standard deviation of 4,000 parts produced in a year. What is the probability that the production this year for XYZ company will more than 27,000 parts? Kindly Provide BOTH the required Standard Normal Distribution Plot (Z Dist.) and the Normal Distribution Plot (X Dist.) and shade the required areas on the plots. (21 Points)
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