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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 blended is 0.417. Based on a randomly selected sample of 87 batches of coffee beans, 36 of them are blended. 'I. (3 mark) What is the distribution for the number of blended coffee beans (X = 36)? 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 87 batches of coffee beans, 2. (1 mark) greater than 40 coffee beans are blended? (3dp) 3. (1 mark) no more than 35 coffee beans are blended? (3dp) 4. (1 mark) there are between 30 and 44 blended coffee beans? (3dp)