You are conducting a quality control inspection of a factory's products. Each item has a 95%probability of passing the Inspection.a) Write the expression of the distribution function for this scenario and plot theprobability, cumulative, and quantile distribution functions.b) Simulate 999 random samples of product inspections, and construct a histogram.Clearly indicate the x and y axes.c) Find the probability that at least 900 out of 1000 items pass the inspection.

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