Problem 2: The Boston Herald reported that 25% of new drivers would repeat a traffic Problem 1: There are different applications of industrial refrigeration. The compressors on violation after their first traffic violation. Suppose the RMV examines five such violators these types of turbines need shafts confirming to certain quality standards namely whose license is to be reinstated. Let x = number of traffic violators out of five who become roundness and surface finish. Following are the details of a company confirming to quality repeat traffic violators. The probability assignments for the x distribution are represented in standards for shafts, the following table. roundness 2 3 4 5 conforms P(x) 0.25 0.35 0.25 0.10 0.01 0.04 Yes No Surface finish Yes 245 10 conforms No 20 25 (a) Find the probability that two or less of the five violators will be repeat traffic violators. (b) Find the probability that two or more of the five violators will be repeat traffic violators. (c) Find the probability that four or more of the five violators will be repeat traffic violators. The quality control department like to find out following probabilities, (d) Compute , the expected number of repeat traffic violators out of five. (a) If we know that shaft conforms to roundness requirements, what is the probability that (e) Compute o, the standard deviation of the number of repeat traffic violators out of five. it conforms to surface finish requirements? (b) If we know that shaft does not conform to roundness requirements, what is the Solution: probability that it conforms to surface finish requirements? (c) If a shaft is selected at random, what is the probability that the shaft conforms to surface finish requirement? (d) What is the probability that the selected shaft conforms to surface finish requirements or to roundness requirement? Solution