Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches were selected at random and the number of transducers in each batch not conforming to design specifications was determined resulting in the data shown to the left.

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 five nonconforming transducers? ii) What proportion have fewer than five and iii) What proportion have at least five?

c) Construct a histogram of the data using relative frequency on the vertical scale and comment on the shape of the histogram