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:

2  1  2  4  0  1  3  2  0  5  3  3  1  3  2  4  7  0  2  3 

0  4  2  1  3  1  1  3  4  1  2  3  2  2  8  4  5  1  3  1 

5  0  2  3  2  1  0  6  4  2  1  6  0  3  3  3  6  1  2  3 

a. Determine frequencies and relative frequencies for the observed values of x number of non- conforming transducers in a batch.

b. What proportion of batches in the sample have at most ve nonconforming transducers? What pro- portion have fewer than ve? What proportion have at least ve nonconforming units?

c. Draw a histogram of the data using relative fre- quency on the vertical scale, and comment on its features.