Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:5 1 2 4 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 33 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 18 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 1 2 3Required:a. Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. b. What proportion of batches in the sample have at most six nonconforming transducers?c. What proportion have fewer than six? d. What proportion have at least six nonconforming units?e. Draw a histogram of the data using relative frequency on the vertical scale, and comment on its features.