When choosing the right coffee beans for you, buying single-origin or blended coffee is another factor to consider. Buy single origin if you enjoy the body and flavour profile of specific coffee regions, and go for blend if you're happy with beans that have come from various geographic areas. Generally, the proportion of coffee beans that are single origin is 0.431. Based on a randomly selected sample of 80 batches of coffee beans, 34 of them are single origin. 1. (3 mark) What is the distribution for the number of single origin coffee beans (X = 34)? c and write down the two parameters that determine the shape of this distribution, (integer) and (3dp) Assuming we can make a normal approximation to Binomial distribution (Hint: check that conditions are satisfied). what is the probability that, in a random sample of 80 batches of coffee beans, 2. (1 mark) greater than 40 coffee beans are single origin? (Solo) 3. (1 mark) no more than 32 coffee beans are single origin? (Solo) 4. (1 mark) there are between 28 and 43 single origin coffee beans? (3dp)