1. A survey was conducted where 68.6% of people said their favourite cuisine is Malaysian. A random sample of twenty-nine people was taken for furtheranalysis.

1. Determine the probability that exactly twenty people from a random sampleof

twenty-nine chose Malaysian food. Write your answer correct to 3decimalplaces.

1. Find the mean of theabovedistribution.

1. Determine the standard deviation of theabovedistribution.

1. Suppose the number of customers at a Sushi outlet is Poisson distributed where an average of nineteen customers are served per 30minutes.

1. Over a fifteen-minute period, how many customers are servedon average?

1. Find the probability of exactly seven customers served over a fifteen-minute period. Write your answer correct to 4decimalplaces.

Calculate the probability at least 1 customer is served over a fifteen-minute period. Write your answer correct to 4decimalplaces.