Quality Control A quality inspector checked for imperfections in rolls of fabric for one week. The random variable x represents the number of imperfections found. x 0 1 2 3 4 5 P(x) Constructing Probability Distributions In Exercises 27–32,

(a) use the frequency distribution to construct a probability distribution,

(b) graph the probability distribution using a histogram and describe its shape,

(c) find the mean, variance, and standard deviation of the probability distribution, and

(d) interpret the results in the context of the real-life situation.