the coffee spot served several pastries this afternoon.\npoppy seed muffins 1\ncinnamon rolls 3\nbran…
the coffee spot served several pastries this afternoon.\npoppy seed muffins 1\ncinnamon rolls 3\nbran muffins 2\napple fritters 2\ncroissants 2\nconsidering this data, how many of the next 20 pastries served should you expect to be bran muffins?\nbran muffins
Answer
Explanation:
Step1: Calculate total pastries served
$1 + 3+2 + 2+2=10$
Step2: Calculate probability of bran muffins
The number of bran - muffins served is 2. The probability $P$ of a pastry being a bran muffin is $P=\frac{2}{10}=\frac{1}{5}$
Step3: Calculate expected number of bran muffins in 20 pastries
Multiply the probability by the number of future pastries. So the expected number $E$ is $E=\frac{1}{5}\times20 = 4$
Answer:
4