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    3    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    4    1    3    1

5    0    2    3    2    1    0    6    4    2    1    6    0    3    3    3    7    1    2    2

(a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Round your relative frequencies to four decimal places.)

     x         Nonconforming     FrequencyRelative Frequency

0     1     2     3     4     5     6     7     8    

(b) What proportion of batches in the sample have at most four nonconforming transducers? (Round your answer to four decimal places.)  

What proportion have fewer than four? (Round your answer to four decimal places.)  

What proportion have at least four nonconforming units? (Round your answer to four decimal places.)